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Title: Meshless X-ray computed tomography with Cauchy-type integration
This paper presents a new algorithm for X-ray Computerized Tomography (CT) based on Bukhgeim’s theory of analytic maps. The reconstruction relies on a Cauchy-type integral formula, where the integration over the boundary replaces the integration in the back- projection operator used in existing algorithms. From the numerical computation stand point, the proposed method recovers the attenuation coefficient at arbitrarily points by utilizing the boundary integration without internal global meshes. This means that it achieves high-parallel efficiency, and it reduces computational resources. Some numerical examples are presented to show feasibility of the proposed algorithm.  more » « less
Award ID(s):
1907097
PAR ID:
10181269
Author(s) / Creator(s):
;
Date Published:
Journal Name:
Keisan suuri kougaku rombunshuu
Volume:
19
Issue:
12
ISSN:
1348-5245
Page Range / eLocation ID:
01-191201
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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