A general total variation minimization theorem for compressed sensing based interior tomography

International Journal of Biomedical Imaging

Volumn 2009, Issue , 2009, Pages

  Han, Weimin ^a   Yu, Hengyong ^b   Wang, Ge ^b  

^a UNIVERSITY OF IOWA   (United States)

^b VIRGINIA POLYTECHNIC INSTITUTE AND STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPRESSED SENSING; DIRAC DELTA FUNCTION; INTERIOR TOMOGRAPHY; MATHEMATICAL TOOLS; PIECE-WISE-CONSTANT FUNCTIONS; PIECEWISE CONSTANT; REGION OF INTEREST; TOTAL VARIATION MINIMIZATION;

FUNCTIONS; SIGNAL RECONSTRUCTION; TOMOGRAPHY;

OPTIMIZATION;

EID: 71149113125     PISSN: 16874188     EISSN: 16874196     Source Type: Journal    
DOI: 10.1155/2009/125871     Document Type: Article

References (6)

1. Hamaker C., Smith K. T., Solomon D. C., Wagner S. L., The divergent beam X-ray transform Rocky Mountain Journal of Mathematics 1980 10 1 253 283
2. Natterer F., The Mathematics of Computerized Tomography 2001 Philadelphia, Pa, USA Society for Industrial and Applied Mathematics
3. Yu H., Wang G., Compressed sensing based interior tomography Physics in Medicine and Biology 2009 54 9 2791 2805
4. Yu H., Yang J., Jiang M., Wang J., Supplemetnal analysis on compressed sensing based interior tomography Physics in Medicine and Biology 2009 54 18 N425 N432
5. Evans L. C., Gariepy R. F., Measure Theory and Fine Properties of Functions 1992 Boca Raton, Fla, USA CRC Press
6. Evans L. C., Partial Differential Equations 1998 Providence, RI, USA American Mathematical Society