A Fast Algorithm to Calculate the Exact Radiological Path through a Pixel or Voxel Space

Calculating the exact radiological path through a pixel or voxel space is a frequently encountered problem in medical image reconstruction from projections and greatly influences the reconstruction time. Currently, one of the fastest algorithms designed for this purpose was published in 1985 by Robert L. Siddon [1]. In this paper, we propose an improved version of Siddon's algorithm, resulting in a considerable speedup.