Abstract
A non-iterative approach is taken to the problem of tomographic imaging with a limited angle of view, based on a priori knowledge of the finite extent of the objects to be reconstructed. This method consists of finding, for an object of given spatial extent, a set of expansion functions adapted to this constraint. This set of basis functions is then used to relate the object to its available projections, in order to reconstruct the object distribution from the incomplete data; that is, to recover the object from limited projection data. The corresponding matrix inversion, computed before recording the data, is performed with a regularization procedure. Numerical results prove the stability of this approach in the presence of noise.
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