4

Main Program of Image Reconstruction

The method of transformation of the geometry of projection data, i.e., line-integrals wp,s(t) along the parallel rays lp, s(t), into the sums vp,s(t) of the discrete image to be reconstructed can be used for writing an uncomplicated code for exact reconstructing the images on the Cartesian lattice N × N, with N being a power of two. Different schemes for changing the geometry of the arithmetic rays with following solutions of the convolution equations were considered in Chapter 3, and the examples for the reconstruction on lattices 4 × 4 and 8 × 8 were described in detail. In this chapter, we give the description of one of our codes, which was first written in MATLAB® and then in C+ and used for reconstruction ...

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