How to determine the 3D points if the ray intersects the the voxel that is perpendicular to Y axis?

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Amit Chakraborty on 6 Jan 2022

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Edited: Matt J on 6 Jan 2022

Here the line AB is intersecting the voxel perpendicularly on the Y-axis. How can I determine all the three points (3D poins) x.y.z in this manner? Thanks in advance.

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Matt J on 6 Jan 2022

determine all the three points

Why 3 points? I see only 2 points (one entry point and one exit point), as you would expect for any convex shape.

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Answer 1

Matt J on 6 Jan 2022

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Edited: Matt J on 6 Jan 2022

You can find ray/box intersections using intersectionHull in this File Exchange package

https://www.mathworks.com/matlabcentral/fileexchange/30892-analyze-n-dimensional-convex-polyhedra?s_tid=srchtitle

However, if you are doing this for the purpose of tomographic forward projection, your only hope for fast speed is to use an optimized projector library, e.g.,

https://github.com/CERN/TIGRE/blob/master/Frontispiece/MATLAB_installation.md