1 January 1986 Direct Reconstruction Of Three Dimensional Image From Its Line Integrals
Author Affiliations +
This paper proposes a series expansion method for the direct reconstruction of a three dimensional image from its line integrals. We clarify a relation between line integrals and plane integrals of a three dimensional image. The relation yields a pair of basis functions in the image space and the projection space. The basis functions are similar to the singular functions of the Radon transformation. Since projection data are practically obtainable along a finite number of beams, we also propose a reconstruction formula which is expressed by a finite sum of products of sampled radiographs and a set of functions. The present reconstruction method is applicable to any incomplete projections and any scanning modes.
© (1986) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Atsushi Imiya, Atsushi Imiya, Hidemitsu Ogawa, Hidemitsu Ogawa, "Direct Reconstruction Of Three Dimensional Image From Its Line Integrals", Proc. SPIE 0671, Physics and Engineering of Computerized Multidimensional Imaging and Processing, (1 January 1986); doi: 10.1117/12.966676; https://doi.org/10.1117/12.966676

Back to Top