Reconstruction for Prime Size Image
In this chapter, we describe 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. The proposed method of image reconstruction is described in detail for the N = 7 case. A general algorithm and programs are also given. The tensor representation is very effective for discrete images of size N × N. The tensor transformation is not orthogonal, but not redundant [48, 55]. The transform and its inverse transform are fast.
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