Compact Object Reconstruction
In this chapter we first present a review of the methods for the tomographie reconstruction of a compact homogeneous object that lies in a homogeneous background. Then we focus on contour estimation and polyhedral shape reconstructions. We give some sufficient conditions to obain exact reconstructions from a complete set of projections in the 2.1) case and present some extensions to the 3D case. Finally, due to the inherent diiculties of the exact reconstruction methods and their inappropriateness for practical situations,we propose an approximate reconstruction method that can handle the situation of very limited-angle projections.
KeywordsActive Contour Model Polygonal Shape Parallel Projection Geometric Moment Polyhedral Shape
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