Using Radon Transform in Image Reconstruction (original) (raw)

The optical tomography problem presents some interesting difficulties for both experimental and theoretical work. This paper has attempted an overview of the theoretical problems for image reconstruction. In this paper we review some general approaches to inverse problems to set the context for optical tomography. An essential requirement is to treat the problem in a nonlinear fashion, by using an iterative method. The inverse problem is approached by numerical solutions methods using MathCad program. The Radon transform is the basic tool of the computerized tomography. In the sequel we introduce this transform, review some properties and present a numerical program for its inversion. We show some results that represent the most complex and realistic simulations of optical tomography yet developed.