Image Reconstruction from Projections

Abstract This article covers the problem of reconstruction of structures from data collected based on transmitted or emitted radiation. The problem occurs in a wide range of areas, such as X-ray CT, emission tomography, photon migration imaging, electron microscopic reconstruction, etc. The article addresses the design, implementation, evaluation, and application of computer algorithms for solving the reconstruction problem in various biomedical areas and emphasizes the essential role of computers, which is due to the fact that the underlying biomedical problems result in mathematical problems in which the number of unknowns is in the millions.