114 citations · 188 across the 17 of their papers we have counts for
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math.AP2015
Limited data problems for the generalized Radon transform in
Jürgen Frikel, Eric Todd Quinto
We consider the generalized Radon transform (defined in terms of smooth weight functions) on hyperplanes in . We analyze general filtered backprojection type reconstr…
math.AP2015★ 22 cited
On Artifacts in Limited Data Spherical Radon Transform: Curved Observation Surface
Lyudmyla L. Barannyk, Jürgen Frikel, Linh V. Nguyen
In this article, we consider the limited data problem for spherical mean transform. We characterize the generation and strength of the artifacts in a reconstruction formula. In con…
math.AP2014★ 3 cited
Artifacts in incomplete data tomography - with applications to photoacoustic tomography and sonar
Jürgen Frikel, Eric Todd Quinto
We develop a paradigm using microlocal analysis that allows one to characterize the visible and added singularities in a broad range of incomplete data tomography problems. We give…