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Write a multislice and s_matrix ptychography program
This commit is contained in:
@@ -52,7 +52,7 @@ from matplotlib.widgets import Slider
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from matplotlib import ticker
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import numpy as np
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__all__ = ['CDIModel', 'SimplePtycho', 'FancyPtycho', 'Bragg2DPtycho']
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__all__ = ['CDIModel', 'SimplePtycho', 'FancyPtycho', 'Bragg2DPtycho', 'SMatrixPtycho']
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class CDIModel(t.nn.Module):
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@@ -349,6 +349,7 @@ class CDIModel(t.nn.Module):
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plt.title(name)
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except (IndexError, KeyError, AttributeError) as e:
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pass
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except (IndexError, KeyError, AttributeError) as e:
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pass
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@@ -471,3 +472,5 @@ from CDTools.models.simple_ptycho import SimplePtycho
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from CDTools.models.fancy_ptycho import FancyPtycho
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from CDTools.models.pinhole_plane_ptycho import PinholePlanePtycho
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from CDTools.models.bragg_2d_ptycho import Bragg2DPtycho
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from CDTools.models.s_matrix_ptycho import SMatrixPtycho
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from CDTools.models.multislice_2d_ptycho import Multislice2DPtycho
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@@ -42,6 +42,18 @@ from copy import copy
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# expected numerical aperture of the probe.
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#
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#
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# I'm worried that the propagation doesn't happen along the correct
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# direction, if a phase ramp is expected to be baked in to the
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# retrieved focal spot. Unclear if this is the case though.
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#
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# Retrieved focal spot should have the implicit phase ramp subtracted
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# (that is, it should be the focal spot along the sample plane, but with
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# the e^ikz dependence removed). Therefore, the original e^ikz dependence
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# should be easy to re-add jusy by using the propagate_along feature
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# in ggasp. So I believe this should not be a problem
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#
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class Bragg2DPtycho(CDIModel):
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def __init__(self, wavelength, detector_geometry,
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@@ -52,7 +64,7 @@ class Bragg2DPtycho(CDIModel):
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background = None, translation_offsets=None, mask=None,
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weights = None, translation_scale = 1, saturation=None,
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probe_support = None, obj_support=None, oversampling=1,
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propagate_probe=True, correct_tilt=True):
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propagate_probe=True, correct_tilt=True, lens=False):
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# We need the detector geometry
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@@ -148,6 +160,7 @@ class Bragg2DPtycho(CDIModel):
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else:
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self.obj_support = t.ones_like(self.obj)
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self.oversampling = oversampling
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self.propagate_probe = propagate_probe
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@@ -163,16 +176,27 @@ class Bragg2DPtycho(CDIModel):
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self.probe_basis, self.detector_geometry['basis'],
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det_shape,
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self.detector_geometry['distance'],
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self.wavelength,dtype=t.float32)
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self.wavelength,dtype=t.float32,
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lens=lens)
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else:
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self.k_map = None
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self.intensity_map = None
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self.prop_dir = t.Tensor([0,0,1]).to(dtype=t.float32)
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# This propagator should be able to be multiplied by the propagation
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# distance each time to get a propagator
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self.universal_propagator = cmath.cphase(ggasp(self.probe.shape[1:],
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self.probe_basis, self.wavelength,
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t.Tensor([0,0,self.wavelength/(2*np.pi)]),
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propagation_vector=self.prop_dir,
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dtype=t.float32,
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propagate_along_offset=True))
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@classmethod
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def from_dataset(cls, dataset, probe_size=None, randomize_ang=0, padding=0, n_modes=1, translation_scale = 1, saturation=None, probe_support_radius=None, propagation_distance=None, restrict_obj=-1, scattering_mode=None, oversampling=1, auto_center=True, propagate_probe=True,correct_tilt=True):
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def from_dataset(cls, dataset, probe_size=None, randomize_ang=0, padding=0, n_modes=1, translation_scale = 1, saturation=None, probe_support_radius=None, propagation_distance=None, restrict_obj=-1, scattering_mode=None, oversampling=1, auto_center=True, propagate_probe=True,correct_tilt=True, lens=False):
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wavelength = dataset.wavelength
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det_basis = dataset.detector_geometry['basis']
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@@ -201,7 +225,6 @@ class Bragg2DPtycho(CDIModel):
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padding=padding,
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opt_for_fft=False,
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oversampling=oversampling)
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# now we grab the sample surface normal
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if hasattr(dataset, 'sample_info') and \
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dataset.sample_info is not None and \
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@@ -332,13 +355,15 @@ class Bragg2DPtycho(CDIModel):
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obj_support=obj_support,
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oversampling=oversampling,
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propagate_probe=propagate_probe,
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correct_tilt=correct_tilt)
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correct_tilt=correct_tilt,
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lens=lens)
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def interaction(self, index, translations):
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pix_trans, props = tools.interactions.project_translations_to_sample(
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self.probe_basis, translations)
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pix_trans -= self.min_translation
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props -= self.median_propagation
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@@ -348,23 +373,31 @@ class Bragg2DPtycho(CDIModel):
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single_translation = False
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if translations.dim() == 1:
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translations = translations[None,:]
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pix_trans = pix_trans[None,:]
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single_translation = True
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all_exit_waves = []
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for i in range(self.probe.shape[0]):
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pr = self.probe[i] * self.probe_support
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exit_waves = []
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for j in range(translations.size()[0]):
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if self.propagate_probe:
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propagator = ggasp(pr.shape, self.probe_basis, self.wavelength,
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t.Tensor([0,0,props[j]]),
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propagation_vector=self.prop_dir,
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dtype=pr.dtype,device=pr.device, propagate_along_offset=True)
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#propagator = ggasp(pr.shape, self.probe_basis, self.wavelength,
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# t.Tensor([0,0,props[j]]),
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# propagation_vector=self.prop_dir,
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# dtype=pr.dtype,device=pr.device, propagate_along_offset=True)
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# Minus sign is empirical
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propagator = cmath.expi((-props[j]*(2*np.pi)/self.wavelength)
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* self.universal_propagator)
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prop_pr = tools.propagators.near_field(pr, propagator)
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#plt.close('all')
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#plt.imshow(np.abs(cmath.torch_to_complex(prop_pr.detach().cpu())))
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#plt.show()
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else:
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prop_pr = pr
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exit_waves.append(self.probe_norm *
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tools.interactions.ptycho_2D_sinc(prop_pr,
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self.obj_support * self.obj,
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@@ -439,6 +472,7 @@ class Bragg2DPtycho(CDIModel):
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self.obj_support = self.obj_support.to(*args,**kwargs)
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self.surface_normal = self.surface_normal.to(*args, **kwargs)
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self.prop_dir = self.prop_dir.to(*args, **kwargs)
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self.universal_propagator = self.universal_propagator.to(*args,**kwargs)
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@@ -487,21 +521,41 @@ class Bragg2DPtycho(CDIModel):
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# Needs to be updated to allow for plotting to an existing figure
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# plot_list = [
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# ('Dominant Probe Amplitude',
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# lambda self, fig: p.plot_amplitude(self.probe[0], fig=fig, basis=self.probe_basis)),
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# ('Dominant Probe Phase',
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# lambda self, fig: p.plot_phase(self.probe[0], fig=fig, basis=self.probe_basis)),
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# ('Subdominant Probe Amplitude',
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# lambda self, fig: p.plot_amplitude(self.probe[1], fig=fig, basis=self.probe_basis),
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# lambda self: len(self.probe) >=2),
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# ('Subdominant Probe Phase',
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# lambda self, fig: p.plot_phase(self.probe[1], fig=fig, basis=self.probe_basis),
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# lambda self: len(self.probe) >=2),
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# ('Object Amplitude',
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# lambda self, fig: p.plot_amplitude(self.obj, fig=fig, basis=self.probe_basis)),
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# ('Object Phase',
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# lambda self, fig: p.plot_phase(self.obj, fig=fig, basis=self.probe_basis)),
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# ('Corrected Translations',
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# lambda self, fig, dataset: p.plot_translations(self.corrected_translations(dataset), fig=fig)),
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# ('Background',
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# lambda self, fig: plt.figure(fig.number) and plt.imshow(self.background.detach().cpu().numpy()**2))
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# ]
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plot_list = [
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('Dominant Probe Amplitude',
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lambda self, fig: p.plot_amplitude(self.probe[0], fig=fig, basis=self.probe_basis)),
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lambda self, fig: p.plot_amplitude(self.probe[0], fig=fig)),
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('Dominant Probe Phase',
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lambda self, fig: p.plot_phase(self.probe[0], fig=fig, basis=self.probe_basis)),
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lambda self, fig: p.plot_phase(self.probe[0], fig=fig)),
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('Subdominant Probe Amplitude',
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lambda self, fig: p.plot_amplitude(self.probe[1], fig=fig, basis=self.probe_basis),
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lambda self, fig: p.plot_amplitude(self.probe[1], fig=fig),
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lambda self: len(self.probe) >=2),
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('Subdominant Probe Phase',
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lambda self, fig: p.plot_phase(self.probe[1], fig=fig, basis=self.probe_basis),
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lambda self, fig: p.plot_phase(self.probe[1], fig=fig),
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lambda self: len(self.probe) >=2),
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('Object Amplitude',
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lambda self, fig: p.plot_amplitude(self.obj, fig=fig, basis=self.probe_basis)),
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lambda self, fig: p.plot_amplitude(self.obj, fig=fig)),
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('Object Phase',
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lambda self, fig: p.plot_phase(self.obj, fig=fig, basis=self.probe_basis)),
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lambda self, fig: p.plot_phase(self.obj, fig=fig)),
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('Corrected Translations',
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lambda self, fig, dataset: p.plot_translations(self.corrected_translations(dataset), fig=fig)),
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('Background',
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@@ -168,6 +168,7 @@ class FancyPtycho(CDIModel):
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probe_max = t.max(cmath.cabs(probe))
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probe_stack = [0.01 * probe_max * t.rand(probe.shape,dtype=probe.dtype) for i in range(n_modes - 1)]
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probe = t.stack([probe,] + probe_stack)
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#probe = t.stack([tools.propagators.far_field(probe),] + probe_stack)
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obj = tools.cmath.expi(randomize_ang * (t.rand(obj_size)-0.5))
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@@ -188,6 +189,7 @@ class FancyPtycho(CDIModel):
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psr = int(probe_support_radius)
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probe_support[p_cent[0]-psr:p_cent[0]+psr,
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p_cent[1]-psr:p_cent[1]+psr] = 1
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probe = probe * probe_support[None,:,:]
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else:
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probe_support = None;
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@@ -225,6 +227,8 @@ class FancyPtycho(CDIModel):
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all_exit_waves = []
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for i in range(self.probe.shape[0]):
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# from storing the probe in Fourier space
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#pr = tools.propagators.inverse_far_field(self.probe[i]) * self.probe_support
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pr = self.probe[i] * self.probe_support
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exit_waves = self.probe_norm * tools.interactions.ptycho_2D_sinc(pr,
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self.obj_support * self.obj,
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@@ -263,6 +267,7 @@ class FancyPtycho(CDIModel):
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def loss(self, sim_data, real_data, mask=None):
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return tools.losses.amplitude_mse(real_data, sim_data, mask=mask)
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#return tools.losses.poisson_nll(real_data, sim_data, mask=mask)
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def to(self, *args, **kwargs):
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@@ -0,0 +1,419 @@
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from __future__ import division, print_function, absolute_import
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import torch as t
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from CDTools.models import CDIModel
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from CDTools.datasets import Ptycho2DDataset
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from CDTools import tools
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from CDTools.tools import cmath
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from CDTools.tools import plotting as p
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from matplotlib import pyplot as plt
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from datetime import datetime
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import numpy as np
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from copy import copy
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class Multislice2DPtycho(CDIModel):
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def __init__(self, wavelength, detector_geometry,
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probe_basis,
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probe_guess, obj_guess, dz, nz,
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detector_slice=None,
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surface_normal=np.array([0.,0.,1.]),
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min_translation = t.Tensor([0,0]),
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background = None, translation_offsets=None, mask=None,
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weights = None, translation_scale = 1, saturation=None,
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probe_support = None, obj_support=None, oversampling=1):
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super(Multislice2DPtycho,self).__init__()
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self.wavelength = t.Tensor([wavelength])
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self.detector_geometry = copy(detector_geometry)
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self.dz = dz
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self.nz = nz
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det_geo = self.detector_geometry
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if hasattr(det_geo, 'distance'):
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det_geo['distance'] = t.Tensor(det_geo['distance'])
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if hasattr(det_geo, 'basis'):
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det_geo['basis'] = t.Tensor(det_geo['basis'])
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if hasattr(det_geo, 'corner'):
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det_geo['corner'] = t.Tensor(det_geo['corner'])
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self.min_translation = t.Tensor(min_translation)
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self.probe_basis = t.Tensor(probe_basis)
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self.detector_slice = detector_slice
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self.surface_normal = t.Tensor(surface_normal)
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self.saturation = saturation
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if mask is None:
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self.mask = mask
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else:
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self.mask = t.BoolTensor(mask)
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# We rescale the probe here so it learns at the same rate as the
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# object
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if probe_guess.dim() > 3:
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self.probe_norm = 1 * t.max(tools.cmath.cabs(probe_guess[0].to(t.float32)))
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else:
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self.probe_norm = 1 * t.max(tools.cmath.cabs(probe_guess.to(t.float32)))
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self.probe = t.nn.Parameter(probe_guess.to(t.float32)
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/ self.probe_norm)
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self.obj = t.nn.Parameter(obj_guess.to(t.float32))
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if background is None:
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if detector_slice is not None:
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background = 1e-6 * t.ones(self.probe[0][self.detector_slice].shape[:-1])
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else:
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background = 1e-6 * t.ones(self.probe[0].shape[:-1])
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self.background = t.nn.Parameter(t.Tensor(background).to(t.float32))
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if weights is None:
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self.weights = None
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else:
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self.weights = t.nn.Parameter(t.Tensor(weights).to(t.float32))
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if translation_offsets is None:
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self.translation_offsets = None
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else:
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self.translation_offsets = t.nn.Parameter(t.Tensor(translation_offsets).to(t.float32)/ translation_scale)
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self.translation_scale = translation_scale
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if probe_support is not None:
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self.probe_support = probe_support
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else:
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self.probe_support = t.ones_like(self.probe[0])
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if obj_support is not None:
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self.obj_support = obj_support
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self.obj.data = self.obj * obj_support
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else:
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self.obj_support = t.ones_like(self.obj)
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self.oversampling = oversampling
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spacing = np.linalg.norm(self.probe_basis,axis=0)
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shape = np.array(self.probe.shape[1:-1])
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self.as_prop = tools.propagators.generate_angular_spectrum_propagator(shape, spacing, self.wavelength, self.dz)
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@classmethod
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def from_dataset(cls, dataset, dz, nz, probe_size=None, randomize_ang=0, padding=0, n_modes=1, translation_scale = 1, saturation=None, probe_support_radius=None, propagation_distance=None, restrict_obj=-1, scattering_mode=None, oversampling=1, auto_center=True):
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wavelength = dataset.wavelength
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det_basis = dataset.detector_geometry['basis']
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det_shape = dataset[0][1].shape
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distance = dataset.detector_geometry['distance']
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# always do this on the cpu
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get_as_args = dataset.get_as_args
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dataset.get_as(device='cpu')
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(indices, translations), patterns = dataset[:]
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dataset.get_as(*get_as_args[0],**get_as_args[1])
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# Set to none to avoid issues with things outside the detector
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if auto_center:
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center = tools.image_processing.centroid(t.sum(patterns,dim=0))
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else:
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center = None
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# Then, generate the probe geometry from the dataset
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ewg = tools.initializers.exit_wave_geometry
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probe_basis, probe_shape, det_slice = ewg(det_basis,
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det_shape,
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wavelength,
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distance,
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center=center,
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padding=padding,
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opt_for_fft=False,
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oversampling=oversampling)
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if hasattr(dataset, 'sample_info') and \
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dataset.sample_info is not None and \
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'orientation' in dataset.sample_info:
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surface_normal = dataset.sample_info['orientation'][2]
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else:
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surface_normal = np.array([0.,0.,1.])
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# If this information is supplied when the function is called,
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# then we override the information in the .cxi file
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if scattering_mode in {'t', 'transmission'}:
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surface_normal = np.array([0.,0.,1.])
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elif scattering_mode in {'r', 'reflection'}:
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outgoing_dir = np.cross(det_basis[:,0], det_basis[:,1])
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outgoing_dir /= np.linalg.norm(outgoing_dir)
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surface_normal = outgoing_dir + np.array([0.,0.,1.])
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surface_normal /= np.linalg.norm(outgoing_dir)
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# Next generate the object geometry from the probe geometry and
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# the translations
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pix_translations = tools.interactions.translations_to_pixel(probe_basis, translations, surface_normal=surface_normal)
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obj_size, min_translation = tools.initializers.calc_object_setup(probe_shape, pix_translations, padding=200)
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if hasattr(dataset, 'background') and dataset.background is not None:
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background = t.sqrt(dataset.background)
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else:
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background = None
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|
||||
# Finally, initialize the probe and object using this information
|
||||
if probe_size is None:
|
||||
probe = tools.initializers.SHARP_style_probe(dataset, probe_shape, det_slice, propagation_distance=propagation_distance, oversampling=oversampling)
|
||||
else:
|
||||
probe = tools.initializers.gaussian_probe(dataset, probe_basis, probe_shape, probe_size, propagation_distance=propagation_distance)
|
||||
|
||||
|
||||
# Now we initialize all the subdominant probe modes
|
||||
probe_max = t.max(cmath.cabs(probe))
|
||||
probe_stack = [0.01 * probe_max * t.rand(probe.shape,dtype=probe.dtype) for i in range(n_modes - 1)]
|
||||
probe = t.stack([probe,] + probe_stack)
|
||||
|
||||
obj = tools.cmath.expi(randomize_ang * (t.rand(obj_size)-0.5))
|
||||
|
||||
det_geo = dataset.detector_geometry
|
||||
|
||||
translation_offsets = 0 * (t.rand((len(dataset),2)) - 0.5)
|
||||
|
||||
weights = t.ones(len(dataset))
|
||||
|
||||
if hasattr(dataset, 'mask') and dataset.mask is not None:
|
||||
mask = dataset.mask.to(t.bool)
|
||||
else:
|
||||
mask = None
|
||||
|
||||
if probe_support_radius is not None:
|
||||
probe_support = t.zeros_like(probe[0].to(dtype=t.float32))
|
||||
p_cent = np.array(probe.shape[1:3]).astype(int) // 2
|
||||
psr = int(probe_support_radius)
|
||||
probe_support[p_cent[0]-psr:p_cent[0]+psr,
|
||||
p_cent[1]-psr:p_cent[1]+psr] = 1
|
||||
probe = probe * probe_support[None,:,:]
|
||||
else:
|
||||
probe_support = None;
|
||||
|
||||
if restrict_obj != -1:
|
||||
ro = restrict_obj
|
||||
os = np.array(obj_size)
|
||||
ps = np.array(probe_shape)
|
||||
obj_support = t.zeros_like(obj.to(dtype=t.float32))
|
||||
obj_support[ps[0]//2-ro:os[0]+ro-ps[0]//2,
|
||||
ps[1]//2-ro:os[1]+ro-ps[1]//2] = 1
|
||||
else:
|
||||
obj_support = None
|
||||
|
||||
return cls(wavelength, det_geo, probe_basis, probe, obj, dz, nz,
|
||||
detector_slice=det_slice,
|
||||
surface_normal=surface_normal,
|
||||
min_translation=min_translation,
|
||||
translation_offsets = translation_offsets,
|
||||
weights=weights, mask=mask, background=background,
|
||||
translation_scale=translation_scale,
|
||||
saturation=saturation,
|
||||
probe_support=probe_support,
|
||||
obj_support=obj_support,
|
||||
oversampling=oversampling)
|
||||
|
||||
|
||||
def interaction(self, index, translations):
|
||||
pix_trans = tools.interactions.translations_to_pixel(self.probe_basis,
|
||||
translations,
|
||||
surface_normal=self.surface_normal)
|
||||
pix_trans -= self.min_translation
|
||||
|
||||
if self.translation_offsets is not None:
|
||||
pix_trans += self.translation_scale * self.translation_offsets[index]
|
||||
|
||||
all_exit_waves = []
|
||||
for i in range(self.probe.shape[0]):
|
||||
pr = self.probe[i] * self.probe_support
|
||||
#exit_waves = pr
|
||||
#print(self.probe_norm)
|
||||
#for i in range(self.nz):
|
||||
exit_waves = []
|
||||
if len(pix_trans.shape) == 1:
|
||||
pix_trans = [pix_trans]
|
||||
for trans in pix_trans:
|
||||
exit_wave = self.probe_norm * pr
|
||||
for i in range(self.nz-1):
|
||||
|
||||
#exit_wave = tools.interactions.ptycho_2D_sinc(exit_wave,
|
||||
# self.obj_support * self.obj,
|
||||
# trans,
|
||||
# shift_probe=True)
|
||||
exit_wave = tools.interactions.ptycho_2D_round(exit_wave,
|
||||
self.obj_support * cmath.cexpi(self.obj.data/self.nz),
|
||||
trans)
|
||||
exit_wave = tools.propagators.near_field(exit_wave,self.as_prop)
|
||||
#tools.plotting.plot_amplitude(exit_wave)
|
||||
#plt.show()
|
||||
|
||||
# only final layer gets a derivative
|
||||
exit_wave = tools.interactions.ptycho_2D_round(exit_wave,
|
||||
self.obj_support * cmath.cexpi(0.1*self.obj),
|
||||
trans)
|
||||
exit_waves.append(exit_wave)
|
||||
|
||||
exit_waves = t.stack(exit_waves)
|
||||
|
||||
|
||||
if np.array(index).size == 1:
|
||||
index = [index]
|
||||
strip_first_index = True
|
||||
else:
|
||||
strip_first_index = False
|
||||
|
||||
if exit_waves.dim() == 4:
|
||||
exit_waves = self.weights[index][:,None,None,None] * exit_waves
|
||||
else:
|
||||
exit_waves = self.weights[index] * exit_waves
|
||||
|
||||
if strip_first_index:
|
||||
exit_waves = exit_waves[0,...]
|
||||
|
||||
all_exit_waves.append(exit_waves)
|
||||
|
||||
|
||||
return t.stack(all_exit_waves)
|
||||
|
||||
|
||||
def forward_propagator(self, wavefields):
|
||||
return tools.propagators.far_field(wavefields)
|
||||
|
||||
|
||||
def backward_propagator(self, wavefields):
|
||||
return tools.propagators.inverse_far_field(wavefields)
|
||||
|
||||
|
||||
def measurement(self, wavefields):
|
||||
return tools.measurements.quadratic_background(wavefields,
|
||||
self.background,
|
||||
detector_slice=self.detector_slice,
|
||||
measurement=tools.measurements.incoherent_sum,
|
||||
saturation=self.saturation,
|
||||
oversampling=self.oversampling)
|
||||
|
||||
|
||||
def loss(self, sim_data, real_data, mask=None):
|
||||
regularizer = t.mean(t.abs(self.obj))
|
||||
loss = tools.losses.amplitude_mse(real_data, sim_data, mask=mask)
|
||||
lambd = 1
|
||||
return loss + lambd * regularizer
|
||||
#return tools.losses.poisson_nll(real_data, sim_data, mask=mask)
|
||||
|
||||
|
||||
def to(self, *args, **kwargs):
|
||||
super(Multislice2DPtycho, self).to(*args, **kwargs)
|
||||
self.wavelength = self.wavelength.to(*args,**kwargs)
|
||||
# move the detector geometry too
|
||||
det_geo = self.detector_geometry
|
||||
if hasattr(det_geo, 'distance'):
|
||||
det_geo['distance'] = det_geo['distance'].to(*args,**kwargs)
|
||||
if hasattr(det_geo, 'basis'):
|
||||
det_geo['basis'] = det_geo['basis'].to(*args,**kwargs)
|
||||
if hasattr(det_geo, 'corner'):
|
||||
det_geo['corner'] = det_geo['corner'].to(*args,**kwargs)
|
||||
|
||||
if self.mask is not None:
|
||||
self.mask = self.mask.to(*args, **kwargs)
|
||||
|
||||
|
||||
self.min_translation = self.min_translation.to(*args,**kwargs)
|
||||
self.probe_basis = self.probe_basis.to(*args,**kwargs)
|
||||
self.probe_norm = self.probe_norm.to(*args,**kwargs)
|
||||
self.probe_support = self.probe_support.to(*args,**kwargs)
|
||||
self.obj_support = self.obj_support.to(*args,**kwargs)
|
||||
self.surface_normal = self.surface_normal.to(*args, **kwargs)
|
||||
self.as_prop = self.as_prop.to(*args, **kwargs)
|
||||
|
||||
def sim_to_dataset(self, args_list):
|
||||
# In the future, potentially add more control
|
||||
# over what metadata is saved (names, etc.)
|
||||
|
||||
# First, I need to gather all the relevant data
|
||||
# that needs to be added to the dataset
|
||||
entry_info = {'program_name': 'CDTools',
|
||||
'instrument_n': 'Simulated Data',
|
||||
'start_time': datetime.now()}
|
||||
|
||||
surface_normal = self.surface_normal.detach().cpu().numpy()
|
||||
xsurfacevec = np.cross(np.array([0.,1.,0.]), surface_normal)
|
||||
xsurfacevec /= np.linalg.norm(xsurfacevec)
|
||||
ysurfacevec = np.cross(surface_normal, xsurfacevec)
|
||||
ysurfacevec /= np.linalg.norm(ysurfacevec)
|
||||
orientation = np.array([xsurfacevec, ysurfacevec, surface_normal])
|
||||
|
||||
sample_info = {'description': 'A simulated sample',
|
||||
'orientation': orientation}
|
||||
|
||||
|
||||
detector_geometry = self.detector_geometry
|
||||
mask = self.mask
|
||||
wavelength = self.wavelength
|
||||
indices, translations = args_list
|
||||
|
||||
# Then we simulate the results
|
||||
data = self.forward(indices, translations)
|
||||
|
||||
# And finally, we make the dataset
|
||||
return Ptycho2DDataset(translations, data,
|
||||
entry_info = entry_info,
|
||||
sample_info = sample_info,
|
||||
wavelength=wavelength,
|
||||
detector_geometry=detector_geometry,
|
||||
mask=mask)
|
||||
|
||||
|
||||
def corrected_translations(self,dataset):
|
||||
translations = dataset.translations.to(dtype=self.probe.dtype,device=self.probe.device)
|
||||
t_offset = tools.interactions.pixel_to_translations(self.probe_basis,self.translation_offsets*self.translation_scale,surface_normal=self.surface_normal)
|
||||
return translations + t_offset
|
||||
|
||||
|
||||
# Needs to be updated to allow for plotting to an existing figure
|
||||
plot_list = [
|
||||
('Dominant Probe Amplitude',
|
||||
lambda self, fig: p.plot_amplitude(self.probe[0], fig=fig, basis=self.probe_basis)),
|
||||
('Dominant Probe Phase',
|
||||
lambda self, fig: p.plot_phase(self.probe[0], fig=fig, basis=self.probe_basis)),
|
||||
('Subdominant Probe Amplitude',
|
||||
lambda self, fig: p.plot_amplitude(self.probe[1], fig=fig, basis=self.probe_basis),
|
||||
lambda self: len(self.probe) >=2),
|
||||
('Subdominant Probe Phase',
|
||||
lambda self, fig: p.plot_phase(self.probe[1], fig=fig, basis=self.probe_basis),
|
||||
lambda self: len(self.probe) >=2),
|
||||
('Object Amplitude',
|
||||
lambda self, fig: p.plot_amplitude(self.obj, fig=fig, basis=self.probe_basis)),
|
||||
('Object Phase',
|
||||
lambda self, fig: p.plot_phase(self.obj, fig=fig, basis=self.probe_basis)),
|
||||
('Corrected Translations',
|
||||
lambda self, fig, dataset: p.plot_translations(self.corrected_translations(dataset), fig=fig)),
|
||||
('Background',
|
||||
lambda self, fig: plt.figure(fig.number) and plt.imshow(self.background.detach().cpu().numpy()**2))
|
||||
]
|
||||
|
||||
|
||||
def save_results(self, dataset):
|
||||
basis = self.probe_basis.detach().cpu().numpy()
|
||||
translations = self.corrected_translations(dataset).detach().cpu().numpy()
|
||||
probe = cmath.torch_to_complex(self.probe.detach().cpu())
|
||||
probe = probe * self.probe_norm.detach().cpu().numpy()
|
||||
obj = cmath.torch_to_complex(self.obj.detach().cpu())
|
||||
background = self.background.detach().cpu().numpy()**2
|
||||
weights = self.weights.detach().cpu().numpy()
|
||||
dz = self.dz
|
||||
nz = self.nz
|
||||
prop = self.as_prop
|
||||
|
||||
return {'basis':basis, 'translation':translations,
|
||||
'probe':probe,'obj':obj,
|
||||
'background':background,
|
||||
'weights':weights, 'dz':dz, 'nz':nz,
|
||||
'interlayer propagator': prop}
|
||||
@@ -0,0 +1,365 @@
|
||||
from __future__ import division, print_function, absolute_import
|
||||
|
||||
import torch as t
|
||||
from CDTools.models import CDIModel
|
||||
from CDTools.datasets import Ptycho2DDataset
|
||||
from CDTools import tools
|
||||
from CDTools.tools import cmath
|
||||
from CDTools.tools import plotting as p
|
||||
from matplotlib import pyplot as plt
|
||||
from datetime import datetime
|
||||
import numpy as np
|
||||
from copy import copy
|
||||
|
||||
|
||||
class SMatrixPtycho(CDIModel):
|
||||
|
||||
def __init__(self, wavelength, detector_geometry,
|
||||
probe_basis, probe_guess, probe_fourier_support,
|
||||
s_matrix_guess,
|
||||
detector_slice=None,
|
||||
surface_normal=np.array([0.,0.,1.]),
|
||||
min_translation = t.Tensor([0,0]),
|
||||
background = None, translation_offsets=None, mask=None,
|
||||
weights = None, translation_scale = 1, saturation=None,
|
||||
oversampling=1):
|
||||
|
||||
super(SMatrixPtycho,self).__init__()
|
||||
self.wavelength = t.Tensor([wavelength])
|
||||
self.detector_geometry = copy(detector_geometry)
|
||||
det_geo = self.detector_geometry
|
||||
if hasattr(det_geo, 'distance'):
|
||||
det_geo['distance'] = t.Tensor(det_geo['distance'])
|
||||
if hasattr(det_geo, 'basis'):
|
||||
det_geo['basis'] = t.Tensor(det_geo['basis'])
|
||||
if hasattr(det_geo, 'corner'):
|
||||
det_geo['corner'] = t.Tensor(det_geo['corner'])
|
||||
|
||||
self.min_translation = t.Tensor(min_translation)
|
||||
|
||||
self.probe_basis = t.Tensor(probe_basis)
|
||||
self.detector_slice = detector_slice
|
||||
self.surface_normal = t.Tensor(surface_normal)
|
||||
|
||||
self.saturation = saturation
|
||||
|
||||
if mask is None:
|
||||
self.mask = mask
|
||||
else:
|
||||
self.mask = t.BoolTensor(mask)
|
||||
|
||||
# We rescale the probe here so it learns at the same rate as the
|
||||
# object
|
||||
if probe_guess.dim() > 3:
|
||||
self.probe_norm = 1 * t.max(tools.cmath.cabs(probe_guess[0].to(t.float32)))
|
||||
else:
|
||||
self.probe_norm = 1 * t.max(tools.cmath.cabs(probe_guess.to(t.float32)))
|
||||
|
||||
self.probe = t.nn.Parameter(probe_guess.to(t.float32)
|
||||
/ self.probe_norm)
|
||||
|
||||
self.s_matrix = t.nn.Parameter(s_matrix_guess.to(t.float32))
|
||||
|
||||
if background is None:
|
||||
ew_shape = [s_matrix_guess.shape[0] - 1 + probe_guess.shape[1],
|
||||
s_matrix_guess.shape[1] - 1 + probe_guess.shape[2]]
|
||||
if detector_slice is not None:
|
||||
background = 1e-6 * t.ones(t.ones(ew_shape)[self.detector_slice].shape).to(t.float32)
|
||||
else:
|
||||
background = 1e-6 * t.ones(ew_shape).to(t.float32)
|
||||
|
||||
self.background = t.nn.Parameter(t.Tensor(background).to(t.float32))
|
||||
|
||||
if weights is None:
|
||||
self.weights = None
|
||||
else:
|
||||
self.weights = t.nn.Parameter(t.Tensor(weights).to(t.float32))
|
||||
|
||||
if translation_offsets is None:
|
||||
self.translation_offsets = None
|
||||
else:
|
||||
self.translation_offsets = t.nn.Parameter(t.Tensor(translation_offsets).to(t.float32)/ translation_scale)
|
||||
|
||||
self.translation_scale = translation_scale
|
||||
|
||||
self.probe_fourier_support = t.Tensor(probe_fourier_support).to(t.float32)
|
||||
|
||||
self.oversampling = oversampling
|
||||
|
||||
|
||||
@classmethod
|
||||
def from_dataset(cls, dataset, probe_convergence_radius, locality_radius=1, probe_size=None, randomize_ang=0, padding=0, n_modes=1, translation_scale = 1, saturation=None, propagation_distance=None, scattering_mode=None, oversampling=1, auto_center=True):
|
||||
|
||||
wavelength = dataset.wavelength
|
||||
det_basis = dataset.detector_geometry['basis']
|
||||
det_shape = dataset[0][1].shape
|
||||
distance = dataset.detector_geometry['distance']
|
||||
|
||||
# always do this on the cpu
|
||||
get_as_args = dataset.get_as_args
|
||||
dataset.get_as(device='cpu')
|
||||
(indices, translations), patterns = dataset[:]
|
||||
dataset.get_as(*get_as_args[0],**get_as_args[1])
|
||||
|
||||
# Set to none to avoid issues with things outside the detector
|
||||
if auto_center:
|
||||
center = tools.image_processing.centroid(t.sum(patterns,dim=0))
|
||||
else:
|
||||
center = None
|
||||
|
||||
# Then, generate the probe geometry from the dataset
|
||||
ewg = tools.initializers.exit_wave_geometry
|
||||
probe_basis, ew_shape, det_slice = ewg(det_basis,
|
||||
det_shape,
|
||||
wavelength,
|
||||
distance,
|
||||
center=center,
|
||||
padding=padding,
|
||||
opt_for_fft=False,
|
||||
oversampling=oversampling)
|
||||
|
||||
# This shrinks the probe to ensure that the output wavefield
|
||||
# is the correct shape
|
||||
probe_shape = t.Size(np.array(ew_shape) - (2*locality_radius))
|
||||
|
||||
if hasattr(dataset, 'sample_info') and \
|
||||
dataset.sample_info is not None and \
|
||||
'orientation' in dataset.sample_info:
|
||||
surface_normal = dataset.sample_info['orientation'][2]
|
||||
else:
|
||||
surface_normal = np.array([0.,0.,1.])
|
||||
|
||||
|
||||
# If this information is supplied when the function is called,
|
||||
# then we override the information in the .cxi file
|
||||
if scattering_mode in {'t', 'transmission'}:
|
||||
surface_normal = np.array([0.,0.,1.])
|
||||
elif scattering_mode in {'r', 'reflection'}:
|
||||
outgoing_dir = np.cross(det_basis[:,0], det_basis[:,1])
|
||||
outgoing_dir /= np.linalg.norm(outgoing_dir)
|
||||
surface_normal = outgoing_dir + np.array([0.,0.,1.])
|
||||
surface_normal /= np.linalg.norm(outgoing_dir)
|
||||
|
||||
|
||||
# Next generate the object geometry from the probe geometry and
|
||||
# the translations
|
||||
pix_translations = tools.interactions.translations_to_pixel(probe_basis, translations, surface_normal=surface_normal)
|
||||
|
||||
# The locality radius correction is probably not needed because
|
||||
# it will always be way less than 200, but it ensures that there
|
||||
# is no wrapping in the s-matrix
|
||||
obj_size, min_translation = tools.initializers.calc_object_setup(probe_shape, pix_translations, padding=200+2*locality_radius)
|
||||
|
||||
if hasattr(dataset, 'background') and dataset.background is not None:
|
||||
background = t.sqrt(dataset.background)
|
||||
else:
|
||||
background = None
|
||||
|
||||
# Finally, initialize the probe and object using this information
|
||||
if probe_size is None:
|
||||
if locality_radius != 0:
|
||||
probe = tools.initializers.SHARP_style_probe(dataset, ew_shape, det_slice, propagation_distance=propagation_distance, oversampling=oversampling)[locality_radius:-locality_radius,locality_radius:-locality_radius]
|
||||
else:
|
||||
probe = tools.initializers.SHARP_style_probe(dataset, ew_shape, det_slice, propagation_distance=propagation_distance, oversampling=oversampling)
|
||||
else:
|
||||
probe = tools.initializers.gaussian_probe(dataset, probe_basis, probe_shape, probe_size, propagation_distance=propagation_distance)
|
||||
|
||||
|
||||
# Now we initialize all the subdominant probe modes
|
||||
probe_max = t.max(cmath.cabs(probe))
|
||||
probe_stack = [0.01 * probe_max * t.rand(probe.shape,dtype=probe.dtype) for i in range(n_modes - 1)]
|
||||
probe = t.stack([tools.propagators.inverse_far_field(probe),] + probe_stack)
|
||||
|
||||
s_matrix = t.zeros([2*locality_radius+1,2*locality_radius+1,obj_size[0],
|
||||
obj_size[1],2])
|
||||
s_matrix[locality_radius,locality_radius,:,:,:] = \
|
||||
tools.cmath.expi(randomize_ang * (t.rand(obj_size)-0.5))
|
||||
|
||||
|
||||
|
||||
det_geo = dataset.detector_geometry
|
||||
|
||||
translation_offsets = 0 * (t.rand((len(dataset),2)) - 0.5)
|
||||
|
||||
weights = t.ones(len(dataset))
|
||||
|
||||
if hasattr(dataset, 'mask') and dataset.mask is not None:
|
||||
mask = dataset.mask.to(t.bool)
|
||||
else:
|
||||
mask = None
|
||||
|
||||
|
||||
probe_support = t.zeros_like(probe[0].to(dtype=t.float32))
|
||||
xs, ys = np.mgrid[:probe.shape[1],:probe.shape[2]]
|
||||
xs = xs - np.mean(xs)
|
||||
ys = ys - np.mean(ys)
|
||||
Rs = np.sqrt(xs**2 + ys**2)
|
||||
probe_support[Rs<probe_convergence_radius] = 1
|
||||
probe = probe * probe_support[None,:,:]
|
||||
|
||||
|
||||
return cls(wavelength, det_geo, probe_basis, probe, probe_support,
|
||||
s_matrix,
|
||||
detector_slice=det_slice,
|
||||
surface_normal=surface_normal,
|
||||
min_translation=min_translation,
|
||||
translation_offsets = translation_offsets,
|
||||
weights=weights, mask=mask, background=background,
|
||||
translation_scale=translation_scale,
|
||||
saturation=saturation,
|
||||
oversampling=oversampling)
|
||||
|
||||
|
||||
def interaction(self, index, translations):
|
||||
pix_trans = tools.interactions.translations_to_pixel(self.probe_basis,
|
||||
translations,
|
||||
surface_normal=self.surface_normal)
|
||||
pix_trans -= self.min_translation
|
||||
|
||||
if self.translation_offsets is not None:
|
||||
pix_trans += self.translation_scale * self.translation_offsets[index]
|
||||
|
||||
all_exit_waves = []
|
||||
for i in range(self.probe.shape[0]):
|
||||
pr = tools.propagators.inverse_far_field(self.probe[i] * self.probe_fourier_support)
|
||||
exit_waves = self.probe_norm * tools.interactions.ptycho_2D_sinc_s_matrix(
|
||||
pr, self.s_matrix, pix_trans, shift_probe=True)
|
||||
|
||||
exit_waves = exit_waves
|
||||
|
||||
|
||||
if exit_waves.dim() == 4:
|
||||
exit_waves = self.weights[index][:,None,None,None] * exit_waves
|
||||
else:
|
||||
exit_waves = self.weights[index] * exit_waves
|
||||
|
||||
all_exit_waves.append(exit_waves)
|
||||
|
||||
|
||||
return t.stack(all_exit_waves)
|
||||
|
||||
|
||||
def forward_propagator(self, wavefields):
|
||||
return tools.propagators.far_field(wavefields)
|
||||
|
||||
|
||||
def backward_propagator(self, wavefields):
|
||||
return tools.propagators.inverse_far_field(wavefields)
|
||||
|
||||
|
||||
def measurement(self, wavefields):
|
||||
return tools.measurements.quadratic_background(wavefields,
|
||||
self.background,
|
||||
detector_slice=self.detector_slice,
|
||||
measurement=tools.measurements.incoherent_sum,
|
||||
saturation=self.saturation,
|
||||
oversampling=self.oversampling)
|
||||
|
||||
|
||||
def loss(self, sim_data, real_data, mask=None):
|
||||
return tools.losses.amplitude_mse(real_data, sim_data, mask=mask)
|
||||
|
||||
|
||||
def to(self, *args, **kwargs):
|
||||
super(SMatrixPtycho, self).to(*args, **kwargs)
|
||||
self.wavelength = self.wavelength.to(*args,**kwargs)
|
||||
# move the detector geometry too
|
||||
det_geo = self.detector_geometry
|
||||
if hasattr(det_geo, 'distance'):
|
||||
det_geo['distance'] = det_geo['distance'].to(*args,**kwargs)
|
||||
if hasattr(det_geo, 'basis'):
|
||||
det_geo['basis'] = det_geo['basis'].to(*args,**kwargs)
|
||||
if hasattr(det_geo, 'corner'):
|
||||
det_geo['corner'] = det_geo['corner'].to(*args,**kwargs)
|
||||
|
||||
if self.mask is not None:
|
||||
self.mask = self.mask.to(*args, **kwargs)
|
||||
|
||||
|
||||
self.min_translation = self.min_translation.to(*args,**kwargs)
|
||||
self.probe_basis = self.probe_basis.to(*args,**kwargs)
|
||||
self.probe_norm = self.probe_norm.to(*args,**kwargs)
|
||||
self.probe_fourier_support = self.probe_fourier_support.to(*args,**kwargs)
|
||||
self.surface_normal = self.surface_normal.to(*args, **kwargs)
|
||||
|
||||
|
||||
def sim_to_dataset(self, args_list):
|
||||
# In the future, potentially add more control
|
||||
# over what metadata is saved (names, etc.)
|
||||
|
||||
# First, I need to gather all the relevant data
|
||||
# that needs to be added to the dataset
|
||||
entry_info = {'program_name': 'CDTools',
|
||||
'instrument_n': 'Simulated Data',
|
||||
'start_time': datetime.now()}
|
||||
|
||||
surface_normal = self.surface_normal.detach().cpu().numpy()
|
||||
xsurfacevec = np.cross(np.array([0.,1.,0.]), surface_normal)
|
||||
xsurfacevec /= np.linalg.norm(xsurfacevec)
|
||||
ysurfacevec = np.cross(surface_normal, xsurfacevec)
|
||||
ysurfacevec /= np.linalg.norm(ysurfacevec)
|
||||
orientation = np.array([xsurfacevec, ysurfacevec, surface_normal])
|
||||
|
||||
sample_info = {'description': 'A simulated sample',
|
||||
'orientation': orientation}
|
||||
|
||||
|
||||
detector_geometry = self.detector_geometry
|
||||
mask = self.mask
|
||||
wavelength = self.wavelength
|
||||
indices, translations = args_list
|
||||
|
||||
# Then we simulate the results
|
||||
data = self.forward(indices, translations)
|
||||
|
||||
# And finally, we make the dataset
|
||||
return Ptycho2DDataset(translations, data,
|
||||
entry_info = entry_info,
|
||||
sample_info = sample_info,
|
||||
wavelength=wavelength,
|
||||
detector_geometry=detector_geometry,
|
||||
mask=mask)
|
||||
|
||||
|
||||
def corrected_translations(self,dataset):
|
||||
translations = dataset.translations.to(dtype=self.probe.dtype,device=self.probe.device)
|
||||
t_offset = tools.interactions.pixel_to_translations(self.probe_basis,self.translation_offsets*self.translation_scale,surface_normal=self.surface_normal)
|
||||
return translations + t_offset
|
||||
|
||||
|
||||
# Needs to be updated to allow for plotting to an existing figure
|
||||
plot_list = [
|
||||
('Dominant Probe Amplitude',
|
||||
lambda self, fig: p.plot_amplitude(self.probe[0], fig=fig, basis=self.probe_basis)),
|
||||
('Dominant Probe Phase',
|
||||
lambda self, fig: p.plot_phase(self.probe[0], fig=fig, basis=self.probe_basis)),
|
||||
('Subdominant Probe Amplitude',
|
||||
lambda self, fig: p.plot_amplitude(self.probe[1], fig=fig, basis=self.probe_basis),
|
||||
lambda self: len(self.probe) >=2),
|
||||
('Subdominant Probe Phase',
|
||||
lambda self, fig: p.plot_phase(self.probe[1], fig=fig, basis=self.probe_basis),
|
||||
lambda self: len(self.probe) >=2),
|
||||
('Exit Wave Amplitude under Uniform Illumination',
|
||||
lambda self, fig: p.plot_amplitude(t.sum(self.s_matrix.data,dim=(0,1)), fig=fig, basis=self.probe_basis)),
|
||||
('Exit Wave Phase under Uniform Illumination',
|
||||
lambda self, fig: p.plot_phase(t.sum(self.s_matrix.data,dim=(0,1)), fig=fig, basis=self.probe_basis)),
|
||||
('Corrected Translations',
|
||||
lambda self, fig, dataset: p.plot_translations(self.corrected_translations(dataset), fig=fig)),
|
||||
('Background',
|
||||
lambda self, fig: plt.figure(fig.number) and plt.imshow(self.background.detach().cpu().numpy()**2))
|
||||
]
|
||||
|
||||
|
||||
def save_results(self, dataset):
|
||||
basis = self.probe_basis.detach().cpu().numpy()
|
||||
translations = self.corrected_translations(dataset).detach().cpu().numpy()
|
||||
probe = cmath.torch_to_complex(self.probe.detach().cpu())
|
||||
probe = probe * self.probe_norm.detach().cpu().numpy()
|
||||
s_matrix = cmath.torch_to_complex(self.s_matrix.detach().cpu())
|
||||
background = self.background.detach().cpu().numpy()**2
|
||||
weights = self.weights.detach().cpu().numpy()
|
||||
|
||||
return {'basis':basis, 'translation':translations,
|
||||
'probe':probe,'s_matrix':s_matrix,
|
||||
'background':background,
|
||||
'weights':weights}
|
||||
@@ -304,3 +304,24 @@ def expi(x):
|
||||
|
||||
"""
|
||||
return t.stack((t.cos(x),t.sin(x)),dim=-1)
|
||||
|
||||
|
||||
def cexpi(z):
|
||||
"""Returns a complex-format tensor for exp(i* (z))
|
||||
|
||||
Expects the input to be in the form of a complex-valued tensor
|
||||
|
||||
Parameters
|
||||
----------
|
||||
x : torch.Tensor
|
||||
An array to be exponentiated
|
||||
|
||||
Returns
|
||||
-------
|
||||
torch.Tensor
|
||||
A complex-format tensor
|
||||
|
||||
"""
|
||||
real = t.cos(z[...,0]) * t.exp(-z[...,1])
|
||||
imag = t.sin(z[...,0]) * t.exp(-z[...,1])
|
||||
return t.stack((real, imag),dim=-1)
|
||||
|
||||
@@ -423,4 +423,97 @@ def ptycho_2D_sinc(probe, obj, translations, shift_probe=True, padding=10):
|
||||
return t.stack(exit_waves)
|
||||
|
||||
|
||||
def ptycho_2D_sinc_s_matrix(probe, s_matrix, translations, shift_probe=True, padding=10):
|
||||
"""Returns a stack of exit waves accounting for subpixel shifts
|
||||
|
||||
This function returns a collection of exit waves, with the first
|
||||
dimension as the translation index and the final dimensions
|
||||
corresponding to the detector. The exit waves are calculated by
|
||||
shifting the probe with each translation in turn, using sinc
|
||||
interpolation (done via multiplication with a complex exponential
|
||||
in Fourier space)
|
||||
|
||||
If shift_probe is True, it applies the subpixel shift to the probe,
|
||||
otherwise the subpixel shift is applied to the object
|
||||
|
||||
This needs to be edited to use a slightly different meaning of the s-wave
|
||||
format. Currently, each pixel in the latter two dimensions index a location
|
||||
on the input wavefield, and the first two indexes index differences from
|
||||
that pixel. It is easier to interpret the resulting matrix though if the
|
||||
latter two indices index locations in the output plane.
|
||||
|
||||
Parameters
|
||||
----------
|
||||
probe : torch.Tensor
|
||||
An MxL probe function for the exit waves
|
||||
s_matrix : torch.Tensor
|
||||
The 4D S-Matrix tensor (2B+1x2B+1xObject Shape) to be probed
|
||||
translations : torch.Tensor
|
||||
The Nx2 array of translations to simulate
|
||||
shift_probe : bool
|
||||
Default True, Whether to subpixel shift the probe or object
|
||||
padding : int
|
||||
Default 10, if shifting the object, the padding to apply to the object to avoid circular shift effects
|
||||
|
||||
Returns
|
||||
-------
|
||||
exit_waves : torch.Tensor
|
||||
An NxMxL tensor of the calculated exit waves
|
||||
"""
|
||||
single_translation = False
|
||||
if translations.dim() == 1:
|
||||
translations = translations[None,:]
|
||||
single_translation = True
|
||||
|
||||
# Separate the translations into a part that chooses the window
|
||||
# And a part that defines the windowing function
|
||||
integer_translations = t.floor(translations)
|
||||
subpixel_translations = translations - integer_translations
|
||||
integer_translations = integer_translations.to(dtype=t.int32)
|
||||
|
||||
exit_waves = []
|
||||
|
||||
B = s_matrix.shape[0]//2
|
||||
|
||||
if shift_probe:
|
||||
i = t.arange(probe.shape[0]) - probe.shape[0]//2
|
||||
j = t.arange(probe.shape[1]) - probe.shape[1]//2
|
||||
I,J = t.meshgrid(i,j)
|
||||
I = 2 * np.pi * I.to(t.float32) / probe.shape[0]
|
||||
J = 2 * np.pi * J.to(t.float32) / probe.shape[1]
|
||||
I = I.to(dtype=probe.dtype,device=probe.device)
|
||||
J = J.to(dtype=probe.dtype,device=probe.device)
|
||||
|
||||
for tr, sp in zip(integer_translations,
|
||||
subpixel_translations):
|
||||
fft_probe = fftshift(t.fft(probe, 2))
|
||||
shifted_fft_probe = cmult(fft_probe, expi(-sp[0]*I - sp[1]*J))
|
||||
shifted_probe = t.ifft(ifftshift(shifted_fft_probe),2)
|
||||
|
||||
s_matrix_slice = s_matrix[:,:,tr[0]:tr[0]+probe.shape[0],
|
||||
tr[1]:tr[1]+probe.shape[1]]
|
||||
|
||||
|
||||
output = t.zeros([s_matrix_slice.shape[2]+2*B,
|
||||
s_matrix_slice.shape[3]+2*B,2]).to(
|
||||
device=s_matrix_slice.device,
|
||||
dtype=s_matrix_slice.dtype)
|
||||
|
||||
for i in range(s_matrix.shape[0]):
|
||||
for j in range(s_matrix.shape[1]):
|
||||
output[i:i+probe.shape[0],j:j+probe.shape[1]] += \
|
||||
cmult(shifted_probe, s_matrix_slice[i,j,:,:,:])
|
||||
|
||||
exit_waves.append(output)
|
||||
#exit_waves.append(cmult(shifted_probe, obj_slice))
|
||||
|
||||
else:
|
||||
raise NotImplementedError('Object shift not yet implemented')
|
||||
|
||||
if single_translation:
|
||||
return exit_waves[0]
|
||||
else:
|
||||
return t.stack(exit_waves)
|
||||
|
||||
|
||||
|
||||
|
||||
@@ -100,7 +100,7 @@ def intensity_mse(intensities, sim_intensities, mask=None):
|
||||
|
||||
|
||||
|
||||
def poisson_nll(intensities, sim_intensities, mask=None):
|
||||
def poisson_nll(intensities, sim_intensities, mask=None, eps=1e-4):
|
||||
""" Returns the Poisson negative log likelihood for a simulated dataset's intensities
|
||||
|
||||
Calculates the overall Poisson maximum likelihood metric using
|
||||
@@ -133,12 +133,12 @@ def poisson_nll(intensities, sim_intensities, mask=None):
|
||||
|
||||
"""
|
||||
if mask is None:
|
||||
return t.sum(sim_intensities -
|
||||
intensities * t.log(sim_intensities)) \
|
||||
return t.sum(sim_intensities+eps -
|
||||
intensities * t.log(sim_intensities+eps)) \
|
||||
/ intensities.view(-1).shape[0]
|
||||
|
||||
else:
|
||||
masked_intensities = intensities.masked_select(mask)
|
||||
masked_sims = sim_intensities.masked_select(mask)
|
||||
return t.sum(masked_sims - masked_intensities *
|
||||
t.log(masked_sims)) / masked_intensities.shape[0]
|
||||
t.log(masked_sims+eps)) / masked_intensities.shape[0]
|
||||
|
||||
@@ -127,6 +127,7 @@ def plot_amplitude(im, fig = None, basis=None, units='$\\mu$m', cmap='viridis',
|
||||
if basis is not None:
|
||||
if isinstance(basis,t.Tensor):
|
||||
basis = basis.detach().cpu().numpy()
|
||||
# This fails if the
|
||||
basis_norm = np.linalg.norm(basis, axis = 0)
|
||||
basis_norm = basis_norm * get_units_factor(units)
|
||||
|
||||
@@ -207,7 +208,7 @@ def plot_phase(im, fig=None, basis=None, units='$\\mu$m', cmap='auto', **kwargs)
|
||||
except:
|
||||
plt.imshow(phase, cmap = 'hsv', extent=extent)
|
||||
else:
|
||||
plt.imshow(phase)#, cmap = cmap, extent=extent)
|
||||
plt.imshow(phase, cmap = cmap, extent=extent)
|
||||
|
||||
cbar = plt.colorbar()
|
||||
cbar.set_label('Phase (rad)')
|
||||
@@ -222,6 +223,9 @@ def plot_phase(im, fig=None, basis=None, units='$\\mu$m', cmap='auto', **kwargs)
|
||||
return fig
|
||||
|
||||
|
||||
def plot_amplitude_surfacenorm():
|
||||
pass
|
||||
|
||||
def plot_colorized(im, fig=None, basis=None, units='$\\mu$m', **kwargs):
|
||||
""" Plots the colorized version of a complex array with dimensions NxM
|
||||
|
||||
|
||||
@@ -74,7 +74,7 @@ def inverse_far_field(wavefront):
|
||||
return fftshift(t.ifft(ifftshift(wavefront), 2, normalized=True))
|
||||
|
||||
|
||||
def generate_high_NA_k_intensity_map(sample_basis, det_basis,det_shape,distance, wavelength, *args, **kwargs):
|
||||
def generate_high_NA_k_intensity_map(sample_basis, det_basis,det_shape,distance, wavelength, *args, lens=False, **kwargs):
|
||||
"""Generates k-space and intensity maps to allow for high-NA far-field propagation of light
|
||||
|
||||
At high numerical apertures or for very tilted samples, the simple
|
||||
@@ -97,6 +97,16 @@ def generate_high_NA_k_intensity_map(sample_basis, det_basis,det_shape,distance,
|
||||
The intensity map is simply an object, the shape of the detector, which
|
||||
encodes intensity corrections between 0 and 1 per pixel.
|
||||
|
||||
If the optional "lens" parameter is set to True, the intensity map will
|
||||
be set to a uniform map, and the distortion of Fourier space due to the
|
||||
flat nature of the detector (that is, the portion of the distortion
|
||||
that exists even if the sample is not tilted) will be disabled. This is
|
||||
to account for the fact that a good, infinity-conjugate imaging lens
|
||||
will do it's best to correct for these abberations in the lens. Of course,
|
||||
the lens will not be perfect, but in such a case it is a better
|
||||
approximation to assume that the lens is perfect than to assume that it
|
||||
is not there at all.
|
||||
|
||||
Parameters
|
||||
----------
|
||||
sample_basis: array
|
||||
@@ -109,7 +119,8 @@ def generate_high_NA_k_intensity_map(sample_basis, det_basis,det_shape,distance,
|
||||
The sample-to-detector distance
|
||||
wavelength: float
|
||||
The wavelength of light being propagated
|
||||
|
||||
lens: bool
|
||||
Whether the diffraction pattern is formed by a lens or not.
|
||||
|
||||
Returns
|
||||
-------
|
||||
@@ -153,15 +164,39 @@ def generate_high_NA_k_intensity_map(sample_basis, det_basis,det_shape,distance,
|
||||
samp_det_vec = np.cross(det_basis[:,0],det_basis[:,1])
|
||||
samp_det_vec *= distance / np.linalg.norm(samp_det_vec)
|
||||
|
||||
Rs = np.tensordot(det_basis,np.stack([Is,Js]),axes=1) \
|
||||
+ samp_det_vec[:,None,None]
|
||||
# This could potentially correct for a mistake in the implied
|
||||
# propagation direction (e.g. choosing e^ikx instead of e^-ikx)
|
||||
#samp_det_vec *= -1
|
||||
|
||||
if lens == False:
|
||||
# This correctly reproduces the sample-to-each-pixel vectors
|
||||
# in the case where the diffraction pattern is actually formed
|
||||
# by Fraunhoffer diffraction
|
||||
Rs = np.tensordot(det_basis,np.stack([Is,Js]),axes=1) \
|
||||
+ samp_det_vec[:,None,None]
|
||||
else:
|
||||
# This forms a distorted set of vectors designed to produce the
|
||||
# correct Fourier space map in the case where an imaging lens is
|
||||
# used in the 2f geometry. One should not read too much meaning
|
||||
# into these vectors, they are simply set up to produce the
|
||||
# correct final K-map
|
||||
Rs = np.tensordot(det_basis,np.stack([Is,Js]),axes=1)#
|
||||
Rs += (samp_det_vec / np.linalg.norm(samp_det_vec))[:,None,None] * \
|
||||
np.sqrt(np.sum((samp_det_vec)**2)-np.sum(Rs**2,axis=0))[None,:,:]
|
||||
|
||||
k0 = 2*np.pi/wavelength
|
||||
|
||||
Ks = k0 * Rs / np.linalg.norm(Rs, axis=0)
|
||||
|
||||
# My attempt at seeing what happens if I flip the Ks
|
||||
#Ks *= -1
|
||||
|
||||
# This is the cosine of the angle with the detector normal
|
||||
intensity_map = np.tensordot(samp_det_vec/(k0*distance),Ks,axes=1)
|
||||
if lens:
|
||||
# Set the intensity map to be uniform if a lens is being used
|
||||
intensity_map = np.ones_like(intensity_map)
|
||||
|
||||
intensity_map = t.Tensor(intensity_map).to(*args, **kwargs)
|
||||
|
||||
|
||||
@@ -171,6 +206,10 @@ def generate_high_NA_k_intensity_map(sample_basis, det_basis,det_shape,distance,
|
||||
# uniform phase.
|
||||
Ks -= k0 * samp_det_vec[:,None,None] / distance
|
||||
|
||||
# A potential alternative when Ks are flipped
|
||||
#Ks += k0 * samp_det_vec[:,None,None] / distance
|
||||
|
||||
|
||||
# Now we move on to finding the conversion into k-space
|
||||
# for the sample grid. It turns out we can do this by multiplying
|
||||
# them with the real space basis (dual of the reciprocal space
|
||||
@@ -233,9 +272,13 @@ def high_NA_far_field(wavefront, k_map, intensity_map=None):
|
||||
low_NA_wavefield = far_field(wavefront)
|
||||
# I'm going to need to separately interpolate the real and complex parts
|
||||
# This can be done
|
||||
|
||||
|
||||
k_map = k_map[None,:,:,:]
|
||||
# Will only work for a 4D wavefile stack.
|
||||
#plt.figure()
|
||||
#plt.pcolormesh(k_map[0,:,:,0].cpu().numpy(),k_map[0,:,:,1].cpu().numpy(),
|
||||
# np.ones_like(k_map[0,:-1,:-1,0].cpu().numpy()))
|
||||
#plt.show()
|
||||
def process_wavefield_stack(low_NA_wavefield):
|
||||
real_output = grid_sample(low_NA_wavefield[None,:,:,:,0],k_map,mode='bilinear',padding_mode='zeros', align_corners=False)
|
||||
imag_output = grid_sample(low_NA_wavefield[None,:,:,:,1],k_map,mode='bilinear',padding_mode='zeros', align_corners=False)
|
||||
|
||||
Reference in New Issue
Block a user