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Ray tracing: Bresenham's vs Siddon's algorithm - Stack …

    https://stackoverflow.com/questions/26713207/ray-tracing-bresenhams-vs-siddons-algorithm
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Siddon algorithm developments - Digital x-ray tomosynthesis

    https://1library.net/article/siddon-algorithm-developments-digital-x-ray-tomosynthesis.y9jwnpvq
    This is named ray-tracing. Siddon’s algorithm is summarised in six action steps described in Figure 2.14. A more detailed description can be found in Siddon [1985]. Figure 2.13: The pixels of the CT array (left) are consdered as the intersection areas of an orthogonal grid. The intersections of the ray with the grid edges are

Siddon Algorithm. Line equation of a LOR is calculated …

    https://www.researchgate.net/figure/Fig-1-Siddon-Algorithm-Line-equation-of-a-LOR-is-calculated-and-intersection-points_fig1_235916105
    ... algorithm consists of doing a ray tracing of a line of response (LOR) then obtaining the length of the segment generated by the intersection between the LOR and the pixels of the image. Each...

algorithm - siddon - voxel raycasting tutorial - Code Examples

    https://code-examples.net/en/q/bcb4df
    Their initialisation procedure is explained as follows: Next, we determine the value of t at which the ray crosses the first vertical voxel boundary and store it in variable tMaxX. We perform a similar computation in y and store the result in tMaxY. The minimum of these two values will indicate how much we can travel along the ray

ITKTwoProjectionRegistration/GetDRRSiddonJacobsRayTracing.cxx …

    https://github.com/InsightSoftwareConsortium/ITKTwoProjectionRegistration/blob/master/test/GetDRRSiddonJacobsRayTracing.cxx
    a 3D CT image into a 2D image plane using Siddon-Jacob ray-tracing algorithm. This program was modified from the ITK application--GenerateProjection.cxx ------------------------------------------------------------------------- References: R. L. Siddon, "Fast calculation of the exact radiological path for a

A fast ray-tracing technique for TCT and ECT studies

    https://ieeexplore.ieee.org/document/842846
    In this study, a refinement to Siddon's algorithm is investigated. In Siddon's algorithm, the index of each voxel along a ray and the intersecting length of that ray within that voxel are computed by four multiplications, which consumes 53% of the total computing time for a typical tomographic study involving an array of 21/sup 3/ points.

(PDF) A Fast Algorithm to Calculate the Exact

    https://www.researchgate.net/publication/2344985_A_Fast_Algorithm_to_Calculate_the_Exact_Radiological_Path_Through_a_Pixel_Or_Voxel_Space
    However, Siddon's algorithm requires to compute the intersection points of the ray with all of the grid lines/planes, and then sorts all those intersection points. …

Fast Implementation of Iterative Reconstruction with …

    https://www.sciencedirect.com/science/article/pii/S1007021410700055
    We implemented Siddon's forward projection method on GPU based on the improved incremental algorithm described in 12, 13. A preprocessing step is first performed to generate s -direction vectors of detector rays, as well as their intersection locations (entry and exit) with the volume bounding box.

Fast calculation of the exact radiological path for a three …

    https://pubmed.ncbi.nlm.nih.gov/4000088/
    For a three-dimensional CT array of N3 voxels, the new exact algorithm scales with 3N, the number of planes, rather than N3, the number of voxels. Coded in FORTRAN-77 on a VAX 11/780 with a floating point option, the algorithm requires approximately 5 ms to calculate an average radiological path in a 100(3) voxel array. Publication types

GitHub

    https://github.com/InsightSoftwareConsortium/ITKTwoProjectionRegistration
    Siddon-Jacobs fast ray-tracing algorithm was implemented to compute projection images from a 3D image volume. A more detailed description can be found in the Insight Journal article: Wu, J. ITK-Based Implementation of Two-Projection 2D/3D Registration Method with an Application in Patient Setup for External Beam Radiotherapy The Insight Journal.

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