A General Total Variation Minimization Theorem for Compressed Sensing Based Interior Tomography
Joint Authors
Yu, Hengyong
Wang, G.
Han, Weimin
Source
International Journal of Biomedical Imaging
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-3, 3 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-11-17
Country of Publication
Egypt
No. of Pages
3
Main Subjects
Abstract EN
Recently, in the compressed sensing framework we found that a two-dimensional interior region-of-interest (ROI) can be exactly reconstructed via the total variation minimization if the ROI is piecewise constant (Yu and Wang, 2009).
Here we present a general theorem charactering a minimization property for a piecewise constant function defined on a domain in any dimension.
Our major mathematical tool to prove this result is functional analysis without involving the Dirac delta function, which was heuristically used by Yu and Wang (2009).
American Psychological Association (APA)
Han, Weimin& Yu, Hengyong& Wang, G.. 2009. A General Total Variation Minimization Theorem for Compressed Sensing Based Interior Tomography. International Journal of Biomedical Imaging،Vol. 2009, no. 2009, pp.1-3.
https://search.emarefa.net/detail/BIM-447654
Modern Language Association (MLA)
Han, Weimin…[et al.]. A General Total Variation Minimization Theorem for Compressed Sensing Based Interior Tomography. International Journal of Biomedical Imaging No. 2009 (2009), pp.1-3.
https://search.emarefa.net/detail/BIM-447654
American Medical Association (AMA)
Han, Weimin& Yu, Hengyong& Wang, G.. A General Total Variation Minimization Theorem for Compressed Sensing Based Interior Tomography. International Journal of Biomedical Imaging. 2009. Vol. 2009, no. 2009, pp.1-3.
https://search.emarefa.net/detail/BIM-447654
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-447654