Binary Polygonal Shape Image Reconstruction From a Small Number of Projections

Authors: Ali Mohammad-DJAFARI

Abstract: Tomographic image reconstruction using X rays consists in determining an object function from its projections. In many applications such as non destructive testing, we know that the object function has a constant value inside a region (fault region) and another constant value outside that region (homogeneous surrounding region). The image reconstruction problem becomes then the determination of the shape of the fault region. In this work we model this shape by a polygonal region and propose a new method for the estimation of its vertex coordinates directly from a very limited number of its projections.

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