leonarski_fandClaude Opus 5
6a3ae9c658
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The signal disk and the background ring are concentric, which is the whole reason a linear background cancels between them. Within the outer ring radius of the edge of the sensor array that concentricity is gone: the ring loses its outer part while the disk barely loses anything, so what is left of the ring sits further into the detector, where the radial background is higher, and the reflection reads low. Measured at signal-free positions four pixels from a border: the ring reads 162.35 counts per pixel against a true background over the disk of 160.57, which over a hundred disk pixels is 182 counts of deficit, against 216 to 239 observed. <I/sigma> runs -1.83, -2.34 and -1.18 at nought to three, three to six and six to nine pixels from the border, and recovers exactly at the outer ring radius. The same reflection measured at a border reads 179 counts lower than in the interior over seven thousand matched pairs. A masked module gap does the same thing but signed by the direction of the displacement, which is why nothing has caught this: at a gap the two populations cancel in the mean, while at the sensor border the truncation is always inward, so the bias is always negative. The background is now the intercept of a straight line in radial offset over whatever ring pixels survive, read at the reflection's centre. Three extra sums per ring pixel and no extra reads; the radial distance was already computed there. It is exact under any truncation and reduces to the mean when the ring is whole, so it is unconditional rather than a mode: a badly truncated ring pays in sigma, through the variance the fit honestly reports, rather than in a rejection. On the crystal where this surfaced the outermost shell's correlation with a deposited model goes from -0.234 to +0.004, and the shell above it from -0.091 to +0.179. Correcting beats discarding: dropping every observation within fifteen pixels of a border reached only -0.019 and +0.127, because the corrected observations still carry signal. Interior reflections do not move. The cost is one geometry: where a neighbour mask has already truncated the ring almost everywhere, the fit roughly doubles the variance of the background estimate while finding no gradient worth removing, and a crowded small detector loses one to two points of CC1/2 in its finest shells. Also: the MINPK denominator counted only profile mass that lands on the detector, so a reflection whose peak is off the sensor scored a perfect one and no guard could fire. Co-Authored-By: Claude Opus 5 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01EFEJG6WBQv8th4UJFNe53N
