Iterative projection algorithms for solving inverse problems

Oceans Conference Record (IEEE)

Volumn 5, Issue , 2003, Pages 2714-2719

  Millane, R P ^a  

^a UNIVERSITY OF CANTERBURY   (New Zealand)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CALCULATIONS; IMAGE RECONSTRUCTION; IMAGING TECHNIQUES; INVERSE PROBLEMS; ITERATIVE METHODS; MATHEMATICAL MODELS; PROBLEM SOLVING; VECTORS;

ITERATIVE PROJECTION ALGORITHM; OCEAN SCIENCES;

OCEAN ENGINEERING;

EID: 1542506147     PISSN: 01977385     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (13)

1. M. Betero and P. Boccacci, Introduction to inverse problems in imaging Institute of Physics Publishing, London, 1998.
2. H. Stark and Y. Yang, Vector space projections: A numerical approach to signal and image processing, neural nets, and optics. John Wiley & Sons, New York, 1998.
3. R. P. Millane, "Phase retrieval in crystallography and optics," J. Opt. Soc. Am. A, vol. 7, pp. 394-411, March 1990.
4. D. C. Youla and H. Webb, "Image restoration by the method of convex projections: Part I-Theory," IEEE Trans. Med. Imaging, vol. MT-1, pp. 81-94, 1982.
5. A. Levi and H. Stark, "Image restoration by the method of generalized projections with application to restoration from magnitude," J. Opt. Soc. Am. A, vol. 1, pp. 932-943, 1984.
6. H. H. Bauschke, P. L. Combettes, and D. R. Luke, "Phase retrieval, error reduction algorithm, and Fienup variants: a view from convex optimization," J. Opt. Soc. Am. A, vol. 19, pp. 1334-1345, July 2002.
7. R. W. Gerchberg and W. O. Saxton, "A practical algorithm for the determination of phase from image and diffraction plane pictures," Optik, vol. 35, pp. 237-246, 1972.
8. J. R. Fienup, "Phase retrieval algorithms: a comparison," Appl. Opt., vol. 21, pp. 2758-2769, 1982.
9. J. C. Dainty and J. R. Fienup, "Phase retrieval and image reconstruction for astronomy," in Image Recovery: Theory and Application, H. Stark (Ed.), pp. 231-275, Academic Press, London, 1987.
10. R. P. Millane and W. J. Stroud, "Reconstructing symmetric images from their undersampled Fourier intensities," J. Opt. Soc. Am. A, vol. 14, pp. 568-579, March 1997.
11. R. P. Millane, in preparation.
12. H. H. Bauschke, P. L. Combettes, and D. R. Luke, "Hybrid projection-reflection method for phase," J. Opt. Soc. Am. A, vol. 20, pp. 1025-1034, June 2003.
13. V. Elser, "Phase retrieval by iterated projections," J. Opt. Soc. Am. A, vol. 20, pp. 40-55, January 2003.