Home
Deutsch
Advanced Search
Browse by ...
Publication overview
Contact persons
Help
DOI
 |
|
Open Access Green as soon as Postprint is submitted to ZB.
Approximation and Reconstruction from Attenuated Radon Projections.
SIAM J. Numer. Anal. 45, 108-132 (2007)
Attenuated Radon projections with respect to the weight function $W_\mu(x,y) = (1-x^2-y^2)^{\mu-1/2}$ are shown to be closely related to the orthogonal expansion in two variables with respect to $W_\mu$. This leads to an algorithm for reconstructing two-dimensional functions (images) from attenuated Radon projections. Similar results are established for reconstructing functions on the sphere from projections described by integrals over circles on the sphere, and for reconstructing functions on the three-dimensional ball and cylinder domains.
Altmetric
Additional Metrics?
Edit extra informations
Login
Publication type
Article: Journal article
Document type
Scientific Article
Keywords
approximation; reconstruction of images; Radon projections; polynomials of several variables; algorithms
ISSN (print) / ISBN
0036-1429
e-ISSN
1095-7170
Quellenangaben
Volume: 45,
Pages: 108-132
Publisher
Society for Industrial and Applied Mathematics (SIAM)
Non-patent literature
Publications
Reviewing status
Peer reviewed
Institute(s)
Institute of Radiation Protection (ISS)