Host: The Japan Society of Mechanical Engineers
Name : [in Japanese]
Date : November 12, 2022 - November 13, 2022
We propose a choice of stabilization parameters in x-ray computerized tomography by a Cauchy type boundary integral formula. Since most of the inverse problems are ill-posedness in the sense of Hadamard, accurate numerical proceduresalsoapproximateitsinstability. Thereforecomputationalandobservationerrorsinfluencesnumericalresults seriously. In order to relax it, regularization methods are introduced with some artificial stabilization parameters which control accuracy and stability. The proposed criteria gives a posteriori choice of the stabilization parameter, and is computable from only measurement data, and no a priori information are required. We will also show a feasibility of the proposed method by numerical reconstruction from measurement data.
