Robust quadrature filters

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

Volumn 14, Issue 4, 1997, Pages 779-791

  Marroquin, J L ^a   Figueroa, J E ^a   Servin, M ^b  

^a CENTRO DE INVESTIGACIÓN EN MATEMÁTICAS   (Mexico)

^b CENTRO DE INVESTIGACIONES EN ÓPTICA   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038043054     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.14.000779     Document Type: Article

References (28)

1. S. Geman and D. Geman, “Stochastic relaxation, Gibbs distributions and the Bayesian restoration of images,” IEEE Trans. Pattern Anal. Machine Intell. PAMI-6, 721–741 (1984).
2. J. Marroquin, S. Mitter, and T. Poggio, “Probabilistic solution of ill-posed problems in computational vision,” J. Am. Stat. Assoc. 82, 76–89 (1987).
3. A. Blake and A. Zisserman, Visual Reconstruction (MIT Press, Cambridge, Mass., 1987).
4. R. N. Bracewell, The Fourier Transform and Its Applications (McGraw-Hill, New York, 1978).
5. D. Gabor, “Theory of communication,” J. Inst. Electr. Eng. 93, 429–457 (1946).
6. D. J. Fleet, A. D. Jepson, and M. R. M. Jenkin, “Phasebased disparity measurement,” Comput. Vision Graphics Image Process. 53, 198–210 (1991).
7. T. Sanger, “Stereo disparity computation using Gabor filters,” Biol. Cybern. 59, 405–418 (1988).
8. M. Takeda, H. Ina, and S. Kobayashi, “Fourier transform methods of fringe pattern analysis for computer-based topography and interferometry,” J. Opt. Soc. Am. 72, 156–160 (1982).
9. M. Turner, “Texture discrimination by Gabor functions,” Biol. Cybern. 55, 71–82 (1986).
10. J. Beck, A. Sutter, and R. Ivry, “Spatial frequency channels and perceptual grouping in texture segregation,” Comput. Vision Graphics and Image Process. 37, 299–325 (1987).
11. J. Bergen and E. Adelson, “Early vision and texture perception,” Nature (London) 333, 363–364 (1988).
12. I. Fogel and D. Sagi, “Gabor filters for texture discrimination,” Biol. Cybern. 61, 103–113 (1989).
13. E. H. Adelson and J. R. Bergen, “Spatiotemporal energy models for the perception of motion,” J. Opt. Soc. Am. A 2, 284–299 (1985).
14. D. J. Heeger, “A model for the extraction of image flow,” J. Opt. Soc. Am. A 4, 1455–1471 (1987).
15. J. Besag, “Spatial interaction and the statistical analysis of lattice systems,” J. R. Stat. Soc. B 36, 192–326 (1974).
16. G. H. Golub and C. F. Van Loan, Matrix Computations (Johns Hopkins U., Baltimore, 1990).
17. J. L. Marroquin and M. Rivera, “Quadratic regularization functionals for phase unwrapping,” J. Opt. Soc. Am. A 12, 2393–2400 (1995).
18. J. L. Marroquin, “Deterministic interactive particle models for image processing and computer graphics,” Comput. Vision Graphics Image Process. 55, 408–417 (1993).
19. K. Creath, “Phase-measurement interferometry techniques,” in Progress in Optics, E. Wolf, ed. (North-Holland, Amsterdam, 1988), Vol. 26, pp. 349–393.
20. D. Malacara, ed., Optical Shop Testing (Wiley, New York, 1992).
21. A. N. Thikonov and V. Y. Arsenin, Solutions to Ill-posed Problems (Winston and Sons, Washington, D.C., 1977).
22. M. Bertero, T. Poggio, and V. Torre, “Ill-posed problems in early vision,” Proc. IEEE 76, 869–887 (1988).
23. W. E. L. Grimson, “A computational theory of visual surface interpolation,” Philos. Trans. R. Soc. London, Ser. B 298, 395–427 (1982).
24. D. Geman and G. Reynolds, “Constrained restoration and the recovery of discontinuities,” IEEE Trans. Pattern Anal. Machine Intell. 14, 367–383 (1992).
25. J. L. Marroquin, “Probabilistic solution of inverse problems,” Artificial Intelligence Laboratory Rep. TR-860 (Massachusetts Institute of Technology, Cambridge, Mass., 1985).
26. J. L. Marroquin, “The adaptive ICM algorithm,” Tech. Rep. I-96-23, Centro de Investigacion en Matematicas, Guonajuato, Mexico, 1996).
27. T. Poggio, H. Voorhees, and A. Yuille, “A regularized solution to edge detection,” Artificial Intelligence Laboratory Memo 833 (Massachusetts Institute of Technology, Cambridge, Mass., 1985).
28. G. Wahba, Spline Models for Observational Data (Society for Industrial and Applied Mathematics, Philadelphia, 1990).