The Design and Use of Steerable Filters

IEEE Transactions on Pattern Analysis and Machine Intelligence

Volumn 13, Issue 9, 1991, Pages 891-906

  Freeman, William T ^a   Adelson, Edward H ^a  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Early vision; edge detection; filter design image analysis; orientation analysis; oriented filters; shape from shading; texture analysis wavelets

Indexed keywords

COMPUTER VISION; IMAGE PROCESSING - IMAGE ANALYSIS;

ADAPTIVE FILTERING; EDGE DETECTION; IMAGE ORIENTATION ANALYSIS; IMAGE PHASE ANALYSIS; SHAPE FROM SHADING; STEERABLE FILTERS;

SIGNAL FILTERING AND PREDICTION;

EID: 0026221555     PISSN: 01628828     EISSN: None     Source Type: Journal    
DOI: 10.1109/34.93808     Document Type: Article

References (46)

1. E. H. Adelson and J. R. Bergen, “Spatiotemporal energy models for the perception of motion,” J. Opt. Soc. Am. A, vol. 2, no. 2, pp. 284–299, 1985.
2. E. H. Adelson, E. Simoncelli, and R. Hingorani, “Orthogonal pyramid transforms for image coding,” in Proc. SPIE —Vis. Comm. Image Proc. II, 1987, pp. 50–58.
3. A. C. Bovik, “Multichannel texture analysis using localized spatial filters,” IEEE Patt. Anal. Machine Intell., vol. 12, no. 1, pp. 55–73, 1990.
4. R. N. Bracewell, The Fourier Transform and its Applications. New York: McGraw-Hill, 1978.
5. P. J. Burt and E. H. Adelson, “The Laplacian pyramid as a compact image code,” IEEE Trans. Commun., vol. 31, no. 4, pp. 532–540, 1983.
6. J. F. Canny, “A computational approach to edge detection,” IEEE Patt. Anal. Machine Intell., vol. 8, no. 6, pp. 679–698, 1986.
7. R. Courant and D. Hilbert, Methods of Mathematical Physics, vol. 1. New York: Wiley Interscience, 1953.
8. P. Danielsson and O. Seger, “Rotation invariance in gradient and higher order derivative detectors,” Comp. Vision Graphics Image Processing, vol. 49, pp. 198–221, 1990.
9. J. G. Daugman, “Complete discrete 2-d Gabor transforms by neural networks for image analysis and compression, IEEE Trans. Acoust. Speech Signal Proc., vol. 36, no. 7, pp. 1169–1179, 1988.
10. D. Esteban and C. Galand, “Application of quadrature mirror filters to split band voice coding schemes, in Proc. ICASSP, 1977, pp. 191–195.
11. D. Fleet and A. Jepson, “Computation of normal velocity from local phase information,” in Proc. IEEE CVPR (San Diego, CA), 1989, pp. 379–386.
12. W. T. Freeman and E. H. Adelson, “Steerable filters,” in Topical Mtg. Image Understanding Machine Vision, Opt. Soc. Amer., Tech. Digest Series, vol. 14, June 1989.
13. W. T. Freeman and E. H. Adelson, “Steerable filters for early vision, image analysis, and wavelet decomposition,” in Proc. 3rd Int. Conf Comput. Vision (Osaka, Japan), 1990.
14. G. H. Granlund, “In search of a general picture processing operator,” Comp. Graphics Image Processing, vol. 8, pp. 155–173, 1978.
15. A. Grossmann and J. Morlet, “Decomposition of Hardy functions into square integrable wavelets of constant shape,” SIAM J. Math., vol. 15, pp. 723–736, 1984.
16. R. M. Haralick, “The digital step edge from zero crossings of second directional derivatives,” IEEE Patt. Anal. Machine Intel!, vol. 6, no. 1, pp. 58–68, 1984.
17. D. J. Heeger, “Optical flow using spatiotemporal filters,” Int. J. Comp. Vision, vol. 1, no. 4, pp. 279–302, 1988.
18. M. Kass and A. Witkin, “Analyzing oriented patterns,” Comp. Vision Graphics Image Processing, vol. 37, pp. 362–385, 1987.
19. H. Knutsson and G. H. Granlund, “Texture analysis using two-dimensional quadrature filters,” in IEEE Comput. Soc. Workshop Comp. Architecture Patt. Anal. Image Database Mgmt., 1983, pp. 206–213.
20. H. Knutsson, L. Haglund, and G. H. Granlund, “Tensor field controlled image sequence enhancement,” in SSAB Symp. Image Anal. (Linkoping, Sweden), Mar. 1990.
21. H. Knutsson, R. Wilson, and G. H. Granlund, “Anisotropic nonstationary image estimation and its applications: Part 1—Restoration of noisy images,” IEEE Trans. Commun., vol. 31, no. 3, pp. 388–397, 1983.
22. J. J. Koenderink, “Design for a sensorium,” in W. von Seelen, B. Shaw, and U. M. Leinhos (Eds.), Org. Neural Networks, Verlagsgesellschaft mbH, 1988, pp. 185–207.
23. J. J. Koenderink, “Operational significance of receptive field assemblies,” Bio!. Cybern., vol. 58, pp. 163–171, 1988.
24. J. J. Koenderink and A. J. van Doom, “Representation of local geometry in the visual system,” Biol. Cybern., vol. 55, pp. 367–375, 1987.
25. J. Lim, Two-Dimensional Signal and Image Processing. Englewood Cliffs, NJ: Prentice-Hall, 1990.
26. S. G. Mallat, “A theory for multiresolution signal decomposition: The wavelet representation,” IEEE Patt. Anal. Machine Intel!, vol. 11, no. 47, pp. 674–693, 1989.
27. J. B. Martens, “Applications of polynomial transforms in image coding and computer vision,” in Proc. SPIE (Cambridge, MA), 1989, vol. 1199, pp. 1279–1290.
28. J. B. Martens, “The Hermite transform—Theory, IEEE Trans. Acoust. Speech Signal Proc., vol. 38, no. 9, pp. 1595–1606, 1990.
29. E. Merzbacher, Quantum Mechanics. New York: Wiley, 1970.
30. M. C. Morrone and D. C. Burr, “Feature detection in human vision: A phase-dependent energy model,” Proc. R. Soc. London B, vol. 235, pp. 221–245, 1988.
31. M. C. Morrone and R. A. Owens, “Feature detection from local energy, Patt. Recog. Lett., vol. 6, pp. 303–313, 1987.
32. P. M. Morse and H. Feshback, Methods of Theoretical Physics, vol. 1. New York: McGraw-Hill, 1953.
33. A. V. Oppenheim and R. W. Schafer, Digital Signal Processing. Englewood Cliffs, NJ: Prentice-Hall, 1975.
34. A. P. Pentland, “Local shading analysis,” IEEE Patt. Anal. Machine Intel!., vol. 6, no. 2, pp. 170–187, 1984.
35. A. P. Pentland “Linear shape from shading” Int. J. Comp. Vision, vol. 1, no. 4, pp. 153–162, 1990.
36. P. Perona, “Finite representation of deformable functions,” Tech. Rep. 90–034, Int. Comput. Sci. Inst., Berkeley, CA, 1990.
37. P. Perona and J. Malik, “Detecting and localizing edges composed of steps, peaks and roofs,” in Proc. 3rd Int. Conf. Comput. Vision (Osaka, Japan), 1990.
38. T. Sanger, “Stereo disparity computation using Gabor filters,” Biol. Cybern., vol. 59, pp. 405-418, 1988.
39. E. P. Simoncelli and E. H. Adelson, “Non-separable extensions of quadrature mirror filters to multiple dimensions,” Proc. IEEE, vol. 78, no. 4, pp. 652–664, 1990.
40. E. P. Simoncelli and E. H. Adelson, “Subband transforms,” in J. W. Woods (Ed.), Subband Image Coding. Norwell, MA: Kluwer, 1990, ch. 4.
41. E. P. Simoncelli, W. T. Freeman, E. H. Adelson, and D. J. Heeger, “Shiftable multi-scale transforms,” Vision Modeling Tech. Rep. 161, Media Lab., Mass. Inst. Technol., Cambridge, MA, 1991.
42. M. Vetterli, “Multidimensional subband coding: Some theory and algorithms,” Signal Processing, vol. 6, no. 2, pp. 97–112, 1984.
43. A. B. Watson, “The cortex transform: Rapid computation of simulated neural images,” Comput. Vision Graphics Image Processing, vol. 39, pp. 311–327, 1987.
44. J. W. Woods and S. D. O’Neil, “Subband coding of images,” IEEE Trans. Acoust. Speech Signal Proc., vol. 34, no. 5, pp. 1278–1288, 1986.
45. R. A. Young, “Simulation of human retinal function with the Gaussian derivative model, in Proc. IEEE Comput. Soc. Conf. Comput. Vision Patt. Recog., 1986, 564–569, 1986.
46. S. W. Zucker, “Early orientation selection: Tangent fields and the dimensionality of their support,” Comp. Vision. Graphics Image Processing, vol. 32, pp. 74–103, 1985.