Paper Info
Title
Inversion Formulas for a Cylindrical Radon Transform
Abstract
In this paper we study the inversion of a generalized Radon transform that maps a function in three dimensional space to a family of cylindrical integrals. We derive local backprojection-type inversion formulas for this cylindrical Radon transform. Our inversion formulas can be implemented in a straightforward manner with $\mathcal{O}(\mathtt{N}^{4/3})$ floating point operations, where $\mathtt{N}$ is the number of spatial reconstruction points. Numerical results are presented which demonstrate the accuracy and validity of the derived algorithms.
Year
DOI
Venue
2011
10.1137/110822505
SIAM J. Imaging Sciences
Keywords
Field
DocType
dimensional space,local backprojection-type inversion formula,floating point operation,cylindrical integral,cylindrical radon transform,straightforward manner,numerical result,inversion formula,generalized radon,spatial reconstruction point,inversion formulas,radon transform,computed tomography,photoacoustic tomography
Three-dimensional space,Photoacoustic tomography,Floating point,Mathematical analysis,Inversion (meteorology),Cylinder,Computed tomography,Geometry,Radon transform,Mathematics
Journal
Volume
Issue
ISSN
4
3
1936-4954
Citations 
PageRank 
References 
2
0.43
3
Authors
1
Name
Order
Citations
PageRank
Markus Haltmeier17414.16