Image reconstruction from an efficient number of moment-based projections

References

• Banham , M. R. and Katsaggelos , A. K. 1997 . Digital image restoration . IEEE Signal Process. Mag , 14 ( 2 ) : 24 – 41 .
   Web of Science ®Google Scholar
• Ben-Israel , A. and Greville , T. N.E. 2003 . Generalized Inverses: Theory and Applications , 2 , New York, NY : Springer .
   Google Scholar
• Chantas , G. K. , Galatsanos , N. P. and Woods , N. A. 2007 . Super-resolution based on fast registration and maximum a posteriori reconstruction . IEEE Trans. Image Process , 16 ( 7 ) : 1821 – 1830 .
   PubMed Web of Science ®Google Scholar
• Chountasis , S. , Katsikis , V. N. and Pappas , D. 2009 . Applications of the Moore–Penrose inverse in digital image restoration . Math. Prob. Eng. , 2009 Article ID 170724, 12 pages, doi:10.1155/2009/170724.
   Web of Science ®Google Scholar
• Chountasis , S. , Katsikis , V. N. and Pappas , D. 2010 . Digital image reconstruction in the spectral domain utilizing the Moore–Penrose inverse . Math. Probl. Eng. , 2010 Article ID 750352, 14 pages, doi:10.1155/2010/750352.
   Web of Science ®Google Scholar
• Gonzalez , R. C. and Woods , R. E. 2002 . Digital Image Processing , 2 , Upper Saddle River, NJ : Prentice-Hall .
   Google Scholar
• Hansen , P. C. , Nagy , J. G. and O'Leary , D. P. 2006 . Deblurring Images: Matrices, Spectra, and Filtering , Philadelphia : SIAM .
   Google Scholar
• Herman , G. T. and Kuba , A. 2007 . Advances in Discrete Tomography and its Applications , Boston : Birkhauser .
   Google Scholar
• Hillebrand , M. and Muller , C. H. 2007 . Outlier robust corner-preserving methods for reconstructing noisy images . Ann. Statist , 35 ( 1 ) : 132 – 165 .
   Web of Science ®Google Scholar
• Khotanzad , A. and Hong , Y. H. 1990 . Invariant image recognition by Zernike moments . IEEE Trans. Pattern Anal. Mach. Intell. , 12 : 489 – 497 . (doi:10.1109/34.55109)
   Web of Science ®Google Scholar
• Milanfar , P. , Karl , W. C. and Willsky , A. S. 1996 . A moment-based variational approach to tomographic reconstruction . IEEE Trans. Image Process , 5 ( 3 ) : 459 – 470 .
   PubMed Web of Science ®Google Scholar
• Mukundan , R. , Ong , S. H. and Lee , P. A. 2001 . Image analysis by Tchebychef moments . IEEE Trans. Image Process , 10 ( 9 ) : 1357 – 1364 .
   PubMed Web of Science ®Google Scholar
• Nguyen , T. B. and Oommen , B. J. 1997 . Moment-preserving piecewise linear approximations of signals and images . IEEE Trans. Pattern Anal. Mach. Intell. , 19 ( 1 ) : 84 – 91 .
   Web of Science ®Google Scholar
• Savelonas , M. A. and Chountasis , S. 2010 . Noise-resistant watermarking in the fractional Fourier domain utilizing moment-based image representation . Signal Process. , 90 : 2521 – 2528 . (doi:10.1016/j.sigpro.2010.02.021)
   Web of Science ®Google Scholar
• Schafer , R. W. , Mersereau , R. M. and Richards , M. A. 1981 . Constrained iterative restoration algorithms . Proc. IEEE , 69 : 432 – 450 . (doi:10.1109/PROC.1981.11987)
   Web of Science ®Google Scholar
• Teague , M. R. 1980 . Image analysis via the general theory of moments . J. Opt. Soc. Am. , 70 ( 8 ) : 920 – 930 .
   Web of Science ®Google Scholar
• Teh , C. H. and Chin , R. T. 1988 . On image analysis by the methods of moments . IEEE Trans. Pattern Anal. Mach. Intell. , 10 : 496 – 513 . (doi:10.1109/34.3913)
   Web of Science ®Google Scholar
• Trussell , H. J. and Fogel , S. 1992 . Identification and restoration of spatially variant motion blurs in sequential images . IEEE Trans. Image Proc. , 1 : 123 – 126 . (doi:10.1109/83.128039)
   PubMed Web of Science ®Google Scholar
• Xiao , B. , Ma , J. and Wang , X. 2010 . Image analysis by Bessel–Fourier moments . Pattern Recog. , 43 : 2620 – 2629 . (doi:10.1016/j.patcog.2010.03.013)
   Web of Science ®Google Scholar