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</o:shapelayout></xml><![endif]--></head><body lang=DE link=blue vlink=purple><div class=WordSection1><p class=MsoNormal><span style='font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D'>Hello Simon, <o:p></o:p></span></p><p class=MsoNormal><span style='font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D'>thank you for the articles. May I ask you what do you mean by<o:p></o:p></span></p><p class=MsoNormal><span style='font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D'>„voxel correction factor“ in the code you provided in your article ?<o:p></o:p></span></p><p class=MsoNormal>float f) // Voxel <span class=highlight>correction</span> factor<span style='font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D'><o:p></o:p></span></p><p class=MsoNormal><span style='font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D'><o:p> </o:p></span></p><p class=MsoNormal><span style='font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D'>Thank you and best regards,<o:p></o:p></span></p><p class=MsoNormal><span style='font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D'>Robert<o:p></o:p></span></p><p class=MsoNormal><span style='font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D'><o:p> </o:p></span></p><p class=MsoNormal><b><span style='font-size:10.0pt;font-family:"Tahoma","sans-serif"'>Von:</span></b><span style='font-size:10.0pt;font-family:"Tahoma","sans-serif"'> simon.rit@gmail.com [mailto:simon.rit@gmail.com] <b>Im Auftrag von </b>Simon Rit<br><b>Gesendet:</b> Mittwoch, 15. Juli 2015 14:22<br><b>An:</b> Robert Calließ<br><b>Cc:</b> rtk-users@public.kitware.com<br><b>Betreff:</b> Re: Re: [Rtk-users] distance driven projector, a simplified approach ?<o:p></o:p></span></p><p class=MsoNormal><o:p> </o:p></p><div><div><p class=MsoNormal>Sorry, <a href="http://www.creatis.insa-lyon.fr/~srit/biblio/rit2009c.pdf">this link indeed</a> with the MapSeg function. And yes, I was projecting it to the detector plane directly.<o:p></o:p></p></div><p class=MsoNormal>Simon<o:p></o:p></p></div><div><p class=MsoNormal><o:p> </o:p></p><div><p class=MsoNormal>On Wed, Jul 15, 2015 at 2:07 PM, "Robert Calließ" <<a href="mailto:Robert.Calliess@gmx.de" target="_blank">Robert.Calliess@gmx.de</a>> wrote:<o:p></o:p></p><div><div><div><div><p class=MsoNormal><span style='font-size:9.0pt;font-family:"Verdana","sans-serif"'>Hello Simon,<o:p></o:p></span></p></div><div><p class=MsoNormal><span style='font-size:9.0pt;font-family:"Verdana","sans-serif"'>thank you for your answer. I guess you linked the wrong article. But I know what article you are talking about.<o:p></o:p></span></p></div><div><p class=MsoNormal><span style='font-size:9.0pt;font-family:"Verdana","sans-serif"'>It's the articel from 2009 with a piece of code (MapSeq).<o:p></o:p></span></p></div><div><p class=MsoNormal><span style='font-size:9.0pt;font-family:"Verdana","sans-serif"'> <o:p></o:p></span></p></div><div><p class=MsoNormal><span style='font-size:9.0pt;font-family:"Verdana","sans-serif"'>>> I don't have time to go into the details of what you have proposed but, from a glance, the first step seems useless.<o:p></o:p></span></p></div><div><p class=MsoNormal><span style='font-size:9.0pt;font-family:"Verdana","sans-serif"'>You're right. It is that all pixels that are related to the overlap projected voxel overlap have to taken into account. So<o:p></o:p></span></p></div><div><p class=MsoNormal><span style='font-size:9.0pt;font-family:"Verdana","sans-serif"'>detector pixels that are totally covered by the overlap are weight with "1" and if the overlap is between detector pixels<o:p></o:p></span></p></div><div><p class=MsoNormal><span style='font-size:9.0pt;font-family:"Verdana","sans-serif"'>the pixels are weighted. Do you have a copy of the original article from the De Man and Basu ?<o:p></o:p></span></p></div><div><p class=MsoNormal><span style='font-size:9.0pt;font-family:"Verdana","sans-serif"'> <o:p></o:p></span></p></div><div><p class=MsoNormal><span style='font-size:9.0pt;font-family:"Verdana","sans-serif"'>I have the opinion that it's not neccessary to project the detector pixel boundaries and voxel boundaries onto a common plane<o:p></o:p></span></p></div><div><p class=MsoNormal><span style='font-size:9.0pt;font-family:"Verdana","sans-serif"'>if we use a flat panel detector. Instead we could project the voxel boundaries onto the detector plane directly.<o:p></o:p></span></p></div><div><p class=MsoNormal><span style='font-size:9.0pt;font-family:"Verdana","sans-serif"'>Do you agree with that or did I miss something ?<o:p></o:p></span></p></div><div><p class=MsoNormal><span style='font-size:9.0pt;font-family:"Verdana","sans-serif"'> <o:p></o:p></span></p></div><div><p class=MsoNormal><span style='font-size:9.0pt;font-family:"Verdana","sans-serif"'>best regards,<o:p></o:p></span></p></div><div><p class=MsoNormal><span style='font-size:9.0pt;font-family:"Verdana","sans-serif"'>Robert<o:p></o:p></span></p></div><div><p class=MsoNormal><span style='font-size:9.0pt;font-family:"Verdana","sans-serif"'> <o:p></o:p></span></p><div style='border:none;border-left:solid #C3D9E5 1.5pt;padding:0cm 0cm 0cm 8.0pt;margin-left:7.5pt;margin-top:7.5pt;margin-right:3.75pt;margin-bottom:3.75pt;word-wrap:break-word' name=quote><div style='margin-bottom:7.5pt'><p class=MsoNormal><b><span style='font-size:9.0pt;font-family:"Verdana","sans-serif"'>Gesendet:</span></b><span style='font-size:9.0pt;font-family:"Verdana","sans-serif"'> Mittwoch, 15. Juli 2015 um 07:32 Uhr<br><b>Von:</b> "Simon Rit" <<a href="mailto:simon.rit@creatis.insa-lyon.fr" target="_blank">simon.rit@creatis.insa-lyon.fr</a>><br><b>An:</b> "Robert Calließ" <<a href="mailto:Robert.Calliess@gmx.de" target="_blank">Robert.Calliess@gmx.de</a>><br><b>Cc:</b> "<a href="mailto:rtk-users@public.kitware.com" target="_blank">rtk-users@public.kitware.com</a>" <<a href="mailto:rtk-users@public.kitware.com" target="_blank">rtk-users@public.kitware.com</a>><br><b>Betreff:</b> Re: [Rtk-users] distance driven projector, a simplified approach ?<o:p></o:p></span></p></div><div><div><div name=quoted-content><div><div><div><div><div><p class=MsoNormal><span style='font-size:9.0pt;font-family:"Verdana","sans-serif"'>Hi,<o:p></o:p></span></p></div><p class=MsoNormal><span style='font-size:9.0pt;font-family:"Verdana","sans-serif"'>Indeed, I have published an <a href="http://www.creatis.insa-lyon.fr/~srit/biblio/rit2012b.pdf" target="_blank">article</a> on this projector describing my implementation, you could use it if you want, there's even a piece of code in it although I'm pretty sure it's not the best implementation. This implementation dealt with the case where the rotation axis is parallel to the detector. As far as I can remember, the original article of De Man and Basu is also quite clear.<o:p></o:p></span></p></div><p class=MsoNormal><span style='font-size:9.0pt;font-family:"Verdana","sans-serif"'>I don't have time to go into the details of what you have proposed but, from a glance, the first step seems useless.<o:p></o:p></span></p></div><p class=MsoNormal><span style='font-size:9.0pt;font-family:"Verdana","sans-serif"'>Good luck in your implementation and don't hesitate to send it to us when you have a working RTK implementation,<o:p></o:p></span></p></div><p class=MsoNormal><span style='font-size:9.0pt;font-family:"Verdana","sans-serif"'>Simon<o:p></o:p></span></p></div><div><p class=MsoNormal><span style='font-size:9.0pt;font-family:"Verdana","sans-serif"'> <o:p></o:p></span></p><div><p class=MsoNormal><span style='font-size:9.0pt;font-family:"Verdana","sans-serif"'>On Tue, Jul 14, 2015 at 9:01 AM, "Robert Calließ" <<a href="http://Robert.Calliess@gmx.de" target="_blank">Robert.Calliess@gmx.de</a>> wrote: <o:p></o:p></span></p><div><div><div><div><p class=MsoNormal><span style='font-size:9.0pt;font-family:"Verdana","sans-serif"'>Hell RTK User,<o:p></o:p></span></p></div><div><p class=MsoNormal><span style='font-size:9.0pt;font-family:"Verdana","sans-serif"'>I think there is a mistake in the described approach.<o:p></o:p></span></p></div><div><p class=MsoNormal><span style='font-size:9.0pt;font-family:"Verdana","sans-serif"'>Point a) and f) meight be wrong. As far as I Understand, all Pixels<o:p></o:p></span></p></div><div><p class=MsoNormal><span style='font-size:9.0pt;font-family:"Verdana","sans-serif"'>that are covered by the projected voxel vertices are update<o:p></o:p></span></p></div><div><p class=MsoNormal><span style='font-size:9.0pt;font-family:"Verdana","sans-serif"'>with weight * voxel_value. Where weight is the overlaping area<o:p></o:p></span></p></div><div><p class=MsoNormal><span style='font-size:9.0pt;font-family:"Verdana","sans-serif"'>of the projected voxel vertices polygon on the detector plane and the<o:p></o:p></span></p></div><div><p class=MsoNormal><span style='font-size:9.0pt;font-family:"Verdana","sans-serif"'>underlying detector pixels.<o:p></o:p></span></p></div><div><p class=MsoNormal><span style='font-size:9.0pt;font-family:"Verdana","sans-serif"'> <o:p></o:p></span></p></div><div><p class=MsoNormal><span style='font-size:9.0pt;font-family:"Verdana","sans-serif"'>Any opinions before implementing it ?<o:p></o:p></span></p></div><div><p class=MsoNormal><span style='font-size:9.0pt;font-family:"Verdana","sans-serif"'> <o:p></o:p></span></p></div><div><p class=MsoNormal><span style='font-size:9.0pt;font-family:"Verdana","sans-serif"'>regards,<o:p></o:p></span></p></div><div><p class=MsoNormal><span style='font-size:9.0pt;font-family:"Verdana","sans-serif"'>Robert<o:p></o:p></span></p></div><div><p class=MsoNormal><span style='font-size:9.0pt;font-family:"Verdana","sans-serif"'> <o:p></o:p></span></p><div style='border:none;border-left:solid #C3D9E5 1.5pt;padding:0cm 0cm 0cm 8.0pt;margin-left:7.5pt;margin-top:7.5pt;margin-right:3.75pt;margin-bottom:3.75pt'><div style='margin-bottom:7.5pt'><p class=MsoNormal><b><span style='font-size:9.0pt;font-family:"Verdana","sans-serif"'>Gesendet:</span></b><span style='font-size:9.0pt;font-family:"Verdana","sans-serif"'> Montag, 13. Juli 2015 um 19:21 Uhr<br><b>Von:</b> "Robert Calließ" <<a href="http://robert.calliess@gmx.de" target="_blank">robert.calliess@gmx.de</a>><br><b>An:</b> <a href="http://rtk-users@public.kitware.com" target="_blank">rtk-users@public.kitware.com</a><br><b>Betreff:</b> [Rtk-users] distance driven projector, a simplified approach ?<o:p></o:p></span></p></div><div><div><div><div><div><p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><span style='font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D'>Hello RTK users,</span><o:p></o:p></p><p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><span style='font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D'>I guess you know about the distance-driven projector. The main idea,</span><o:p></o:p></p><p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><span style='font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D'>as far as I understand, of this algorithm is to project voxel boundaries onto</span><o:p></o:p></p><p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><span style='font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D'>a common plane and the detector cell boundaries also on this common plane.</span><o:p></o:p></p><p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><span style='font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D'>Then the voxel’s contribution (weight) is the area of this overlapping. I read that the</span><o:p></o:p></p><p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><span style='font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D'>projection of the voxel and detector cell boundaries on a common plane can be</span><o:p></o:p></p><p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><span style='font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D'>simplified if the detector is a flat panel detector (guess this is what they called fixed</span><o:p></o:p></p><p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><span style='font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D'>detector geometry). Even if they mean by fixed-detector geometry that the detector</span><o:p></o:p></p><p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><span style='font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D'>is not moving, we could use this simplification in a circular cone beam geometry. We can</span><o:p></o:p></p><p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><span style='font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D'>either rotate the detector and source around the object or the object can be rotated</span><o:p></o:p></p><p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><span style='font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D'>and the detector and source are fixed. I think Simon also wrote a paper about the</span><o:p></o:p></p><p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><span style='font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D'>distance driven projector (?). </span><o:p></o:p></p><p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><span style='font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D'> </span><o:p></o:p></p><p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><span style='font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D'> </span><o:p></o:p></p><p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><span style='font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D'>So my simplified approach would be (fixed detector and source position, object is rotating):</span><o:p></o:p></p><p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><span style='font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D'> </span><o:p></o:p></p><p><span style='font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D'>a)</span><span style='font-size:7.0pt;color:#1F497D'> </span><span style='font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D'>project voxel center on detector plane to determine the corresponding detector cell</span><span style='font-size:9.0pt;font-family:"Verdana","sans-serif"'><o:p></o:p></span></p><p><span style='font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D'>b)</span><span style='font-size:7.0pt;color:#1F497D'> </span><span style='font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D'>project voxel vertices on detector plane (dertemine area of this projected polygon)</span><span style='font-size:9.0pt;font-family:"Verdana","sans-serif"'><o:p></o:p></span></p><p><span style='font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D'>c)</span><span style='font-size:7.0pt;color:#1F497D'> </span><span style='font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D'>for each projected voxel vertex dertermine the neares detector cell</span><span style='font-size:9.0pt;font-family:"Verdana","sans-serif"'><o:p></o:p></span></p><p style='margin-left:72.0pt'><span style='font-size:11.0pt;font-family:"Courier New";color:#1F497D'>o</span><span style='font-size:7.0pt;color:#1F497D'> </span><span style='font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D'>i.e. vertex(20.3, 10.1) => DetectorCell(20, 10)</span><span style='font-size:9.0pt;font-family:"Verdana","sans-serif"'><o:p></o:p></span></p><p><span style='font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D'>d)</span><span style='font-size:7.0pt;color:#1F497D'> </span><span style='font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D'>dertermine the area of the polygon described by the corresponding detector cells (c)</span><span style='font-size:9.0pt;font-family:"Verdana","sans-serif"'><o:p></o:p></span></p><p><span style='font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D'>e)</span><span style='font-size:7.0pt;color:#1F497D'> </span><span style='font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D'>weight = area_from_b / area_from_d</span><span style='font-size:9.0pt;font-family:"Verdana","sans-serif"'><o:p></o:p></span></p><p><span style='font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D'>f)</span><span style='font-size:7.0pt;color:#1F497D'> </span><span style='font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D'>add voxel_value * weight in detector cell determined in a</span><span style='font-size:9.0pt;font-family:"Verdana","sans-serif"'><o:p></o:p></span></p><p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><span style='font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D'> </span><o:p></o:p></p><p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><span style='font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D'>For the back projector the steps would be always the same (a – e). Value to back project</span><o:p></o:p></p><p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><span style='font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D'>Is taken from the correction image at position determined in step a.</span><o:p></o:p></p><p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><span style='font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D'>For step b and d we could determine the minimum bounding rect and use this as the polygons areas.</span><o:p></o:p></p><p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><span style='font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D'>So the weights should always be between 0 and 1 ( Wether the MEB lies exactly on the detector cells</span><o:p></o:p></p><p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><span style='font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D'>or in between)</span><o:p></o:p></p><p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><span style='font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D'> </span><o:p></o:p></p><p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><span style='font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D'>I’m new to this topic. I want to hear your opinion. Is this a possible interpretation of the distance-driven</span><o:p></o:p></p><p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><span style='font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D'>projector, since the main idea is to calculate the overlapping of voxel boundaries with detector cell bounderies.</span><o:p></o:p></p><p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><span style='font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D'> </span><o:p></o:p></p><p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><span style='font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D'> </span><o:p></o:p></p><p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><span style='font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D'>Best Regards,</span><o:p></o:p></p><p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><span style='font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D'>Robert</span><o:p></o:p></p><p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto'><span style='font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D'> </span><o:p></o:p></p></div></div></div><p class=MsoNormal><span style='font-size:9.0pt;font-family:"Verdana","sans-serif"'>_______________________________________________ Rtk-users mailing list <a href="http://Rtk-users@public.kitware.com" target="_blank">Rtk-users@public.kitware.com</a> <a href="http://public.kitware.com/mailman/listinfo/rtk-users" target="_blank">http://public.kitware.com/mailman/listinfo/rtk-users</a><o:p></o:p></span></p></div></div></div></div></div></div></div><p class=MsoNormal><span style='font-size:9.0pt;font-family:"Verdana","sans-serif"'><br>_______________________________________________<br>Rtk-users mailing list<br><a href="http://Rtk-users@public.kitware.com" target="_blank">Rtk-users@public.kitware.com</a><br><a href="http://public.kitware.com/mailman/listinfo/rtk-users" target="_blank">http://public.kitware.com/mailman/listinfo/rtk-users</a><br> <o:p></o:p></span></p></div></div></div></div></div></div></div></div></div></div></div><p class=MsoNormal><o:p> </o:p></p></div></div></body></html>