Accurate image reconstruction from few-view and limited-angle data in diffraction tomography

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volumn 25, Issue 7, 2008, Pages 1772-1782

  LaRoque, Samuel J ^a   Sidky, Emil Y ^a   Pan, Xiaochuan ^a  

^a UNIVERSITY OF CHICAGO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DIAGNOSTIC RADIOGRAPHY; DIFFRACTION; ESTIMATION; FOURIER TRANSFORMS; IMAGE PROCESSING; IMAGE RECONSTRUCTION; IMAGING TECHNIQUES; MEDICAL IMAGING; REPAIR; RESTORATION; THERMOGRAPHY (TEMPERATURE MEASUREMENT); TOMOGRAPHY;

DATA SAMPLES; DIFFRACTION TOMOGRAPHY; FOURIER; MINIMIZATION ALGORITHMS; SIMULATION STUDIES; SPARSE DATA; TOTAL VARIATION;

BACKPROPAGATION ALGORITHMS;

ALGORITHM; ARTICLE; COMPUTER ASSISTED TOMOGRAPHY; COMPUTER SIMULATION; EQUIPMENT DESIGN; FOURIER ANALYSIS; HUMAN; IMAGE PROCESSING; IMAGE QUALITY; METHODOLOGY; REPRODUCIBILITY; STATISTICAL MODEL; THEORETICAL MODEL; X RAY DIFFRACTION;

ALGORITHMS; COMPUTER SIMULATION; EQUIPMENT DESIGN; FOURIER ANALYSIS; HUMANS; IMAGE PROCESSING, COMPUTER-ASSISTED; MODELS, STATISTICAL; MODELS, THEORETICAL; PHANTOMS, IMAGING; RADIOGRAPHIC IMAGE ENHANCEMENT; REPRODUCIBILITY OF RESULTS; TOMOGRAPHY, X-RAY COMPUTED; X-RAY DIFFRACTION;

EID: 51549103154     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.25.001772     Document Type: Article

References (17)

1. M. Slaney and A. C. Kak, "Diffraction tomography," in Inverse Optics, Vol. 14, A. J. Devaney, ed. (SPIE, 1983), pp. 2-19.
2. M. P. Andre, P. J. Martin, G. P. Otto, L. K. Olson, T. K. Barrett, B. A. Spivey, and D. A. Palmer, "A new consideration of diffraction computed tomography for breast imaging: Studies in phantoms and patients," Acoust. Imaging 21, 379-390 (1995).
3. A. Devaney, "Geophysical diffraction tomography," IEEE Trans. Geosci. Remote Sens. 22, 3-13 (1984).
4. V. E. Kunitsyn, E. S. Andreeva, E. D. Tereschenko, B. Z. Khudukon, and T. Nygren, "Investigations of the ionosphere by satellite radiotomography," Int. J. Imaging Syst. Technol. 5, 112-127 (1994).
5. R. Mueller, M. Kaveh, and G. Wade, "Reconstructive tomography and applications to ultrasonics," in Proc. IEEE 67, 567-587 (1979).
6. S. X. Pan and A. C. Yak, "A computational study of reconstruction algorithms for diffraction tomography: Interpolation versus filtered backpropagation," IEEE Trans. Acoust., Speech, Signal Process. 31, 1262-1275 (1983).
7. A. Devaney, "A filtered backpropagation algorithm for diffraction tomography," Ultrason. Imaging 4, 336-350 (1982).
8. P. Guo and A. J. Devaney, "Comparison of reconstruction algorithms for optical diffraction tomography," J. Opt. Soc. Am. A 22, 2338-2347 (2005).
9. E. Candes, J. Romberg, and T. Tao, "Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information," IEEE Trans. Inf. Theory 52, 489-509 (2006).
10. E. Y. Sidky, C. Kao, and X. Pan, "Accurate image reconstruction from few-views and limited-angle data in divergent-beam CT," J. X-Ray Sci, Technol. 14, 1-21 (2006).
11. E. Wolf, "Three-dimensional structure determination of semi-transparent objects from holographic data," Opt. Commun. 1, 153-156 (1969).
12. X. Pan, "Unified reconstruction theory for diffraction tomography, with consideration of noise control," J. Opt. Soc. Am. A 15, 2312-2326 (1998).
13. A. C. Kak and M. Slaney, Principles of Computerized Tomographic Imaging (SIAM, 2001).
14. X. Pan and M. A. Anastasio, "Minimal-scan filtered backpropagation algorithms for diffraction tomography," J. Opt. Soc. Am. A 16, 2896-2903 (1999).
15. M. H. Li, H. Q. Yang, and H. Kudo, "An accurate iterative reconstruction algorithm for sparse objects: Application to 3D blood vessel reconstruction from a limited number of projections," Phys. Med. Biol. 47, 2599-2609 (2002).
16. E. Candes and T. Tao, "Near optimal signal recovery from random projections: Universal encoding strategies," IEEE Trans. Inf. Theory 52, 5406-5425 (2004).
17. E. Y. Sidky, University of Chicago, Department of Radiology, 5841 S. Maryland Ave. MC2026, Chicago, Illinois 60637, USA, and X. Pan are preparing a manuscript to be called "Image reconstruction in circular cone-beam computed tomography by total variation minimization."