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<title>PEARL Procedures: Projections</title>
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<div id="projectname">PEARL Procedures
&#160;<span id="projectnumber">rev-distro-2.1.1-1-gf419e92-dirty</span>
&#160;<span id="projectnumber">rev-distro-3.0.0-0-gfa24916-dirty</span>
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<div id="projectbrief">Igor procedures for the analysis of PEARL data</div>
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<div class="headertitle">
<div class="title">Projections </div> </div>
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<div class="contents">
<div class="textblock"><p>the functions of the anglescan package support the following map projections.</p>
<p>for a description of the different projections, see, for example, <a href="https://en.wikipedia.org/wiki/Map_projection">https://en.wikipedia.org/wiki/Map_projection</a></p>
<table class="doxtable">
<tr>
<th align="center">Selector </th><th align="center">Projection </th><th align="center">Function </th><th align="left">Properties </th></tr>
<tr>
<td align="center">kProjDist = 0 </td><td align="center">azimuthal equidistant </td><td align="center">r = c * theta </td><td align="left">radius is proportional to polar angle. </td></tr>
<tr>
<td align="center">kProjStereo = 1 </td><td align="center">stereographic </td><td align="center">r = c * tan theta/2 </td><td align="left">circles on sphere map to circles. </td></tr>
<tr>
<td align="center">kProjArea = 2 </td><td align="center">azimuthal equal-area </td><td align="center">r = c * sin theta/2 </td><td align="left">preserves area measure. </td></tr>
<tr>
<td align="center">kProjGnom = 3 </td><td align="center">gnomonic </td><td align="center">r = c * tan theta </td><td align="left">great circles map to straight lines. </td></tr>
<tr>
<td align="center">kProjOrtho = 4 </td><td align="center">orthographic </td><td align="center">r = c * sin theta </td><td align="left">k-space mapping in ARPES and LEED. </td></tr>
<div class="textblock"><p>the functions of the anglescan package support the following map projections. for a description of the different projections, see, for example, <a href="https://en.wikipedia.org/wiki/Map_projection">https://en.wikipedia.org/wiki/Map_projection</a></p>
<table class="markdownTable">
<tr class="markdownTableHead">
<th class="markdownTableHeadCenter">Selector </th><th class="markdownTableHeadCenter">Projection </th><th class="markdownTableHeadCenter">Function </th><th class="markdownTableHeadLeft">Properties </th></tr>
<tr class="markdownTableRowOdd">
<td class="markdownTableBodyCenter">kProjDist = 0 </td><td class="markdownTableBodyCenter">azimuthal equidistant </td><td class="markdownTableBodyCenter">r = c * theta </td><td class="markdownTableBodyLeft">radius is proportional to polar angle. </td></tr>
<tr class="markdownTableRowEven">
<td class="markdownTableBodyCenter">kProjStereo = 1 </td><td class="markdownTableBodyCenter">stereographic </td><td class="markdownTableBodyCenter">r = c * tan theta/2 </td><td class="markdownTableBodyLeft">circles on sphere map to circles. </td></tr>
<tr class="markdownTableRowOdd">
<td class="markdownTableBodyCenter">kProjArea = 2 </td><td class="markdownTableBodyCenter">azimuthal equal-area </td><td class="markdownTableBodyCenter">r = c * sin theta/2 </td><td class="markdownTableBodyLeft">preserves area measure. </td></tr>
<tr class="markdownTableRowEven">
<td class="markdownTableBodyCenter">kProjGnom = 3 </td><td class="markdownTableBodyCenter">gnomonic </td><td class="markdownTableBodyCenter">r = c * tan theta </td><td class="markdownTableBodyLeft">great circles map to straight lines. </td></tr>
<tr class="markdownTableRowOdd">
<td class="markdownTableBodyCenter">kProjOrtho = 4 </td><td class="markdownTableBodyCenter">orthographic </td><td class="markdownTableBodyCenter">r = c * sin theta </td><td class="markdownTableBodyLeft">k-space mapping in ARPES and LEED. </td></tr>
</table>
<p>the projections in this package are defined for 0 &lt;= theta &lt; 90. </p>
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