Supplemental analysis on compressed sensing based interior tomography

Physics in Medicine and Biology

Volumn 54, Issue 18, 2009, Pages

  Yu, Hengyong ^a   Yang, Jiansheng ^b   Jiang, Ming ^b   Wang, Ge ^a  

^a Medical Center Boulevard   (United States)

^b PEKING UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ARTIFACT IMAGES; COMPRESSED SENSING; INTERIOR TOMOGRAPHY; PIECEWISE CONSTANT; SQUARE INTEGRABLE; TOTAL VARIATION MINIMIZATION;

TOMOGRAPHY;

SIGNAL RECONSTRUCTION;

ARTICLE; ARTIFACT; COMPUTER ASSISTED TOMOGRAPHY; IMAGE ANALYSIS; MATHEMATICAL COMPUTING; PRIORITY JOURNAL; THEORETICAL SAMPLE;

ALGORITHMS; DATA COMPRESSION; RADIOGRAPHIC IMAGE ENHANCEMENT; RADIOGRAPHIC IMAGE INTERPRETATION, COMPUTER-ASSISTED; REPRODUCIBILITY OF RESULTS; SENSITIVITY AND SPECIFICITY; TOMOGRAPHY, X-RAY COMPUTED;

EID: 71049127510     PISSN: 00319155     EISSN: 13616560     Source Type: Journal    
DOI: 10.1088/0031-9155/54/18/N04     Document Type: Article

References (11)

1. Courdurier M, Noo F, Defrise M and Kudo H 2008 Solving the interior problem of computed tomography using a priori knowledge Inverse Probl. 24 065001
2. Han W, Yu H and Wang G 2009 A total variation minimization theorem for compressed sensing based tomography Phys. Med. Biol. submitted
3. Hansen P C 1988 Computation of the singular value expansion Computing 40 185-99
4. Hansen P C 1998 Rank-Deficient and Discrete Ill-Posed Problems: Numerical Aspects of Linear Inversion (Philadelphia, PA: SIAM)
5. Kudo H, Courdurier M, Noo F and Defrise M 2008 Tiny a priori knowledge solves the interior problem in computed tomography Phys. Med. Biol. 53 2207-31
6. Natterer F 2001 The Mathematics of Computerized Tomography (Philadelphia, PA: SIAM)
7. Smithies F 1958 Integral Equations (Cambridge: Cambridge University Press)
8. Wang G, Li Y and Jiang M 2004 Uniqueness theorems in bioluminescence tomography Med. Phys. 31 2289-99
9. Ye Y, Yu H, Wei Y and Wang G 2007 A general local reconstruction approach based on a truncated Hilbert transform Int. J. Biomed. Imag. 2007 63634
10. Yu H and Wang G 2009 Compressed sensing based interior tomography Phys. Med. Biol. 54 2791-805
11. Yu H, Ye Y and Wang G 2008 Local reconstruction using the truncated Hilbert transform via singular value decomposition J. X-Ray Sci. Technol. 16 243-51