Paper Info
Title
Sampling Conditions for the Circular Radon Transform.
Abstract
Recovering a function from circular or spherical mean values is the basis of many modern imaging technologies, such as photo- and thermoacoustic computed tomography and ultrasound reflection tomography. Recently much progress has been made concerning the problem of recovering a function from its circular mean values. In particular, theoretically exact inversion formulas of the back-projection type have been discovered using continuously sampled data. In practical applications, however, only a discrete number of circular mean values can be collected. In this paper we address this issue in the context of Shannon sampling theory. We derive sharp sampling conditions for the number of angular and radial samples, respectively such that any essentially b0-bandlimited function can be recovered from a finite number of such circular mean values.
Year
DOI
Venue
2016
10.1109/TIP.2016.2551364
IEEE Trans. Image Processing
Keywords
Field
DocType
Radon,Tomography,Fourier transforms,Detectors,Lattices,Image reconstruction
Tomographic reconstruction,Finite set,Bandlimiting,Mathematical analysis,Spherical mean,Tomography,Sampling (statistics),Radon transform,Thermoacoustic Computed Tomography,Mathematics
Journal
Volume
Issue
ISSN
25
6
1057-7149
Citations 
PageRank 
References 
4
0.56
7
Authors
1
Name
Order
Citations
PageRank
Markus Haltmeier17414.16