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Tiny a priori knowledge solves the interior problem

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4 Author(s)

Based on the differentiated backprojection (DBP) framework [1-3], this paper shows that the solution to the interior problem in computed tomography is unique if a tiny a priori knowledge on the object f(x,y) is available in the form that f(x,y) is known on a small region located inside the region of interest. Furthermore, we advance the uniqueness result to obtain a more general uniqueness result which can be applied to a wider class of imaging configurations. The experimental results show evidence that the inversion corresponding to each obtained uniqueness result is stable.

Published in:

2007 IEEE Nuclear Science Symposium Conference Record  (Volume:6 )

Date of Conference:

Oct. 26 2007-Nov. 3 2007