Work

A paradigm for the characterization of artifacts in tomography

Year: 2014

Type: preprint

Abstract: We present a paradigm for characterization of artifacts in limited data tomography problems. In particular, we use this paradigm to characterize artifacts that are generated in reconstructions from limited angle data with generalized Radon transforms and general filtered backprojection type operators. In order to find when visible singularities are imaged, we calculate the symbol of our reconstruction operator as a pseudodifferential operator.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1409.4103

Authors: Frikel, Jürgen, Quinto, Eric Todd

Institutions: Helmholtz Munich, Institute of Computational Biology, Technical University of Munich, Tufts University

Language: English

Topic: Numerical methods in inverse problems

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Science Foundation

Award: Tomography and Microlocal Analysis

OpenAlex ID: W316294124

Cites: 15

Cited by: 3

Related to: 10