Open AccessLocal singularity reconstruction from integrals over curves in $\mathbb{R}^3$
Author(s) -
Eric Todd Quinto,
Hans Rullgård
Publication year - 2013
Publication title -
inverse problems and imaging
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.755
H-Index - 40
eISSN - 1930-8345
pISSN - 1930-8337
DOI - 10.3934/ipi.2013.7.585
Subject(s) - radon transform , curvilinear coordinates , singularity , integral transform , object (grammar) , tomography , mathematics , mathematical analysis , physics , geometry , computer science , artificial intelligence , optics
We define a general curvilinear Radon transform in R-3, and we develop its microlocal properties. We prove that singularities can be added (or masked) in any backprojection reconstruction method fo ...
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