http://swrc.ontoware.org/ontology#Article
Tiny a priori knowledge solves the interior problem in computed tomography
en
Kudo Hiroyuki
Courdurier Matias
Noo Frédéric
Defrise Michel
工藤 博幸
Based on the concept of differentiated backprojection (DBP) (Noo et al 2004 Phys. Med. Biol. 49 3903, Pan et al 2005 Med. Phys. 32 673, Defrise et al 2006 Inverse Problems 22 1037), 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 more general uniqueness results which can be applied to a wider class of imaging configurations. We also develop a reconstruction algorithm which can be considered an extension of the DBP-POCS (projection onto convex sets) method described by Defrise et al (2006 Inverse Problems 22 1037), where we not only extend this method to the interior problem but also introduce a new POCS algorithm to reduce computational cost. Finally, we present experimental results which show evidence that the inversion corresponding to each obtained uniqueness result is stable.
Physics in medicine and biology
53
9
2207-2231
2008-05
0031-9155
AA10558592
18401067
10.1088/0031-9155/53/9/001
© 2008 Institute of Physics and Engineering in Medicine
application/pdf
電気電子工学
IOP Publishing
http://hdl.handle.net/2241/100111