Abstract
This paper is concerned with a theoretical possibility of a speedy 3D-pattern measurement based on reconstructing digital 3-dimensional images (3D-images). A theory of reconstructing from a few X-ray projection pictures into a smooth 3D density distribution which gratifies the condition of 3D sampling theorem and the Bernstein's approximation, is discussed. Fist, it is shown that we can reconstruct the original 3D distribution from a projection picture by reading at intervals of the 1/√n of one edge of a voxel. Then, a reconstruction algorithm for a smooth 3D density distribution is proposed, and the results of computer simulation with the algorithm are shown.
