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<p>Hi Chang,</p>
<p>I was faced with the same problem not long ago. Here is the
solution that worked for me:</p>
<p> If we call this extra angle "c", the following modifications
have to be made in rtksimulatedgeometry: </p>
<p>- first angle = c</p>
<p>- sdd = sdd_0 * cos(c)</p>
<p>- sid = sid_0 * cos(c)</p>
<p>- source_x = source_x0 - sid*sin(c)</p>
<p>- proj_iso_x = proj_iso_x0 + (sdd-sid)*sin(c)</p>
<p>Hope it helps !</p>
<p>Best regards,</p>
<p>Vincent<br>
</p>
<div class="moz-cite-prefix">On 27.11.22 22:44, <a class="moz-txt-link-abbreviated" href="mailto:gameboy514@gmail.com">gameboy514@gmail.com</a>
wrote:<br>
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<p class="MsoNormal" style="word-break:break-hangul"><span
style="font-size:10.0pt;font-family:"맑은 고딕""
lang="EN-US">Dear,<o:p></o:p></span></p>
<p class="MsoNormal" style="word-break:break-hangul"><span
style="font-size:10.0pt;font-family:"맑은 고딕""
lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal" style="word-break:break-hangul"><span
style="font-size:10.0pt;font-family:"맑은 고딕""
lang="EN-US">Thank you for your reply, but I still have a
question.<o:p></o:p></span></p>
<p class="MsoNormal" style="word-break:break-hangul"><span
style="font-size:10.0pt;font-family:"맑은 고딕""
lang="EN-US">I am trying to use Rtksimulatedgeometry which
employs Addprojection. It supports in_angle and out_angle,
which is clear.<o:p></o:p></span></p>
<p class="MsoNormal" style="word-break:break-hangul"><span
style="font-size:10.0pt;font-family:"맑은 고딕""
lang="EN-US">There is also a parameter for gantry angle, but
it does not seem that simulation of slant can be done by
simply changing the gantry angle.<o:p></o:p></span></p>
<p class="MsoNormal" style="word-break:break-hangul"><span
style="font-size:10.0pt;font-family:"맑은 고딕""
lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal" style="word-break:break-hangul"><span
style="font-size:10.0pt;font-family:"맑은 고딕""
lang="EN-US">Left side of the figure is the schematic of
simulation that I want which only slants the detector.<o:p></o:p></span></p>
<p class="MsoNormal" style="word-break:break-hangul"><span
style="font-size:10.0pt;font-family:"맑은 고딕""
lang="EN-US">But if I perform the simulation as you suggest,
the result that I will get would be like the right side of
the figure.<o:p></o:p></span></p>
<p class="MsoNormal" style="word-break:break-hangul"><span
style="font-size:10.0pt;font-family:"맑은 고딕""
lang="EN-US">To my understanding, the results of these two
are not the same. (Slant degree itself is same, but in the
perspective of distance reaching to side of the detector, it
would be different.)<o:p></o:p></span></p>
<p class="MsoNormal" style="word-break:break-hangul"><span
style="font-size:10.0pt;font-family:"맑은 고딕""
lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal" style="word-break:break-hangul"><span
style="font-size:10.0pt;font-family:"맑은 고딕""
lang="EN-US">It would be appreciated to help me to simulate
only the slant of the detector.<o:p></o:p></span></p>
<p class="MsoNormal" style="word-break:break-hangul"><span
style="font-size:10.0pt;font-family:"맑은 고딕""
lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal" style="word-break:break-hangul"><span
style="font-size:10.0pt;font-family:"맑은 고딕""
lang="EN-US">Regards,<o:p></o:p></span></p>
<p class="MsoNormal" style="word-break:break-hangul"><span
style="font-size:10.0pt;font-family:"맑은 고딕""
lang="EN-US">Chang.<o:p></o:p></span></p>
<p class="MsoNormal" style="word-break:break-hangul"><span
style="font-size:10.0pt;font-family:"맑은 고딕""
lang="EN-US"><o:p> </o:p></span></p>
<div style="border:none;border-top:solid #E1E1E1
1.0pt;padding:3.0pt 0cm 0cm 0cm">
<p class="MsoNormal"><b><span
style="font-size:11.0pt;font-family:"Calibri",sans-serif"
lang="EN-US">From:</span></b><span
style="font-size:11.0pt;font-family:"Calibri",sans-serif"
lang="EN-US"> Simon Rit
<a class="moz-txt-link-rfc2396E" href="mailto:simon.rit@creatis.insa-lyon.fr"><simon.rit@creatis.insa-lyon.fr></a> <br>
<b>Sent:</b> Friday, November 25, 2022 7:49 PM<br>
<b>To:</b> </span><span style="font-size:11.0pt">김창환</span><span
style="font-size:11.0pt;font-family:"Calibri",sans-serif"
lang="EN-US"> <a class="moz-txt-link-rfc2396E" href="mailto:gameboy514@gmail.com"><gameboy514@gmail.com></a><br>
<b>Cc:</b> <a class="moz-txt-link-abbreviated" href="mailto:rtk-users@public.kitware.com">rtk-users@public.kitware.com</a><br>
<b>Subject:</b> Re: [Rtk-users] Simulating geometric error
on detector<o:p></o:p></span></p>
</div>
<p class="MsoNormal"><span lang="EN-US"><o:p> </o:p></span></p>
<div>
<div>
<p class="MsoNormal"><span lang="EN-US">Hi,<o:p></o:p></span></p>
</div>
<div>
<p class="MsoNormal"><span lang="EN-US">There are three
rotations to chose the orientation of the detector:
GantryAngle, InPlaneAngle and OutOfPlane. Any
orientation can be set. If you want a slant around the
detector center, then a change in the GantryAngle will
imply a change in SourceToIsocenter, SourceToDetector
(both measured in the direction orthogonal to the
detector) and SourceOffsetX / ProjectionOffsetX. The
geometry documentation should help:<o:p></o:p></span></p>
</div>
<div>
<p class="MsoNormal"><span lang="EN-US"><a
href="http://www.openrtk.org/Doxygen/DocGeo3D.html"
target="_blank" moz-do-not-send="true"
class="moz-txt-link-freetext">http://www.openrtk.org/Doxygen/DocGeo3D.html</a><o:p></o:p></span></p>
</div>
<div>
<p class="MsoNormal"><span lang="EN-US">If you mind find it
to set one detector position by setting the source
position, detector origin position and the u and v axes.
See all the different versions of AddProjection in the <a
href="http://www.openrtk.org/Doxygen/classrtk_1_1ThreeDCircularProjectionGeometry.html"
moz-do-not-send="true">doxygen</a>.<o:p></o:p></span></p>
</div>
<div>
<p class="MsoNormal"><span lang="EN-US">Best regards,<o:p></o:p></span></p>
</div>
<div>
<p class="MsoNormal"><span lang="EN-US">Simon<o:p></o:p></span></p>
</div>
</div>
<p class="MsoNormal"><span lang="EN-US"><o:p> </o:p></span></p>
<div>
<div>
<p class="MsoNormal"><span lang="EN-US">On Fri, Nov 25, 2022
at 10:21 AM </span>김창환<span lang="EN-US"> <<a
href="mailto:gameboy514@gmail.com" target="_blank"
moz-do-not-send="true" class="moz-txt-link-freetext">gameboy514@gmail.com</a>>
wrote:<o:p></o:p></span></p>
</div>
<blockquote style="border:none;border-left:solid #CCCCCC
1.0pt;padding:0cm 0cm 0cm
6.0pt;margin-left:4.8pt;margin-right:0cm">
<div>
<p class="MsoNormal"><span lang="EN-US">Dear all,<o:p></o:p></span></p>
<div>
<p class="MsoNormal"><span lang="EN-US"><o:p> </o:p></span></p>
</div>
<div>
<p class="MsoNormal"><span lang="EN-US">I am now
generating the simulation data with geometric
distortions on the detector, by using RTK.<o:p></o:p></span></p>
</div>
<div>
<p class="MsoNormal"><span lang="EN-US"><o:p> </o:p></span></p>
</div>
<div>
<p class="MsoNormal"><span lang="EN-US">Translation can
be easily implemented by adjusting the parameters
(proj_iso_x and proj_iso_y).<o:p></o:p></span></p>
</div>
<div>
<p class="MsoNormal"><span lang="EN-US">However, for the
rotation, it seems that there are only two
parameters I can manage. (in_angle and out_angle).<o:p></o:p></span></p>
</div>
<div>
<p class="MsoNormal"><span lang="EN-US">Thus, at this
moment, tilt and skew are available to implement,
but for the slant, it seems that there is no such
way.<o:p></o:p></span></p>
</div>
<div>
<p class="MsoNormal"><span lang="EN-US"><o:p> </o:p></span></p>
</div>
<div>
<p class="MsoNormal"><span lang="EN-US">Please let me
know if there is any way to implement rotation about
one other axis.<o:p></o:p></span></p>
</div>
<div>
<p class="MsoNormal"><span lang="EN-US"><o:p> </o:p></span></p>
</div>
<div>
<p class="MsoNormal"><span lang="EN-US">(Image from </span><span
style="font-size:10.0pt;font-family:"Arial",sans-serif"
lang="EN-US">Wang, Zhao, et al. "Improvements in
micro-CT method for characterizing x-ray
monocapillary optics." <i>Optics Communications</i> 504
(2022): 127474.)</span><span lang="EN-US"><o:p></o:p></span></p>
</div>
<div>
<p class="MsoNormal"><span lang="EN-US"><o:p> </o:p></span></p>
</div>
<div>
<p class="MsoNormal"><span lang="EN-US"><img
style="width:3.9895in;height:2.0104in"
id="그림_x0020_1"
src="cid:part1.OdN0GHFQ.kfSiYGXz@xris.eu" class=""
width="383" height="193" border="0"></span><span
lang="EN-US"><o:p></o:p></span></p>
</div>
</div>
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