ABSTRACT
This chapter describes the method of transferring the geometry of line-integrals of the image along the rays from the image plane to the Cartesian lattice N × N, for the case when N is prime. The tensor representation of the image is considered and the calculation of the discrete image is accomplished by the inverse tensor transform. A general algorithm and programs are also given. The tensor transformation is not orthogonal, but not redundant. The transform and its inverse transform are fast. For image reconstruction, the chapter utilizes a simple formula of the inverse tensor transformation, which is the transformation from the 2-D frequency and 1-D time space to the 2-D image space. It provides the script image_reconstructionA3A4m.m of the main program for image reconstruction.
