Coherence-enhancing diffusion of colour images

Image and Vision Computing

Volumn 17, Issue 3-4, 1999, Pages 201-212

  Weickert, Joachim ^a  

^a UNIVERSITY OF COPENHAGEN   (Denmark)

Author keywords

Flow like structures; Image processing; Nonlinear diffusion; Scale space; Structure tensor; Vector valued images

Indexed keywords

COHERENT LIGHT; IMAGE ENHANCEMENT; MATHEMATICAL OPERATORS; MATRIX ALGEBRA; TENSORS; VECTORS;

STRUCTURE TENSORS;

COLOR IMAGE PROCESSING;

EID: 0033100270     PISSN: 02628856     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0262-8856(98)00102-4     Document Type: Article

References (36)

1. B. Jähne, Spatio-temporal image processing, Lecture Notes in Comp. Science, Vol. 751, Springer, Berlin, 1993.
2. J. Weickert, Scale-space properties of nonlinear diffusion filtering with a diffusion tensor, Report No. 110, Laboratory of Technomathematics, University of Kaiserslautern, P.O. Box 3049, 67653 Kaiserslautern, Germany, 1994.
3. J. Weickert, Multiscale texture enhancement, in: V. Hlaváč, R. Šára (Eds.), Computer Analysis of Images and Patterns, Lecture Notes in Comp. Science, Vol. 970, Springer, Berlin, 1995, pp. 230-237.
4. R. Whitaker, G. Gerig, Vector-valued diffusion, in: B.M. ter Haar Romeny (Ed.), Geometry-driven Diffusion in Computer Vision, Kluwer, Dordrecht, 1994, pp. 93-134.
5. P. Blomgren, T.F. Chan, Color TV: total variation methods for restoration of vector valued images, IEEE Trana Image Proc. 7 (1998) 304-309.
6. A. Chambolle, Partial differential equations and image processing, in: Proc. IEEE Int. Conf. Image Processing (ICIP-94, Austin, Nov. 13-16, 1994), Vol. 1, IEEE Computer Society Press, Los Alamitos, 1994, pp. 16-20.
7. R. Kimmel, N. Sochen, R. Malladi, Images as embedding maps and minimal surfaces Movies, color, and volumetric medical images, in: Proc. IEEE Comp. Soc. Conf. Computer Vision and Pattern Recognition (CVPR '97, San Juan, June 17-19, 1997), IEEE Computer Society Press, Los Alamitos, 1997, pp. 350-355.
8. M. Proesmans, E.J. Pauwels, L.J. Van Gool, Coupled geometry-driven diffusion equations for low-level vision, in: B.M. ter Haar Romeny (Ed.), Geometry-driven Diffusion in Computer Vision, Kluwer, Dordrecht, 1994, pp. 191-228.
9. G. Sapiro, D.L. Ringach, Anisotropic diffusion of multivalued images with applications to color filtering, IEEE Trans. Image Proc. 5 (1996) 1582-1586.
10. J. Shah, Curve evolution and segmentation functionals application to color images, in: Proc. IEEE Int. Conf. Image Processing (ICIP-96, Lausanne, Sept. 16-19, 1996), Vol. 1, 1996, pp. 461-464.
11. G.-H. Cottet, L. Germain, Image processing through reaction combined with nonlinear diffusion, Math. Comp. 61 (1993) 659-673.
12. M. Nitzberg, T. Shiota, Nonlinear image filtering with edge and corner enhancement, IEEE Trans. Pattern Anal. Mach. Intell. 14 (1992) 826-833.
13. T. Lindeberg, J. Garding, Shape-adapted smoothing in estimation of 3-D depth cues from affine distortions of local 2-D brightness structure, Image Vision Comput. 15 (1997) 415-434.
14. G.Z. Yang, P. Burger, D.N. Firmin, S.R. Underwood, Structure adaptive anisotropic filtering, Image Vision Comput. 14 (1996) 135-145.
15. J. Weickert, Theoretical foundations of anisotropic diffusion in image processing, Computing (Suppl. 11) (1996) 221-236.
16. Y. Rubner, C. Tomasi, Coalescing texture descriptors, in: Proc. ARPA Image Understanding Workshop, Palm Springs, February 1996, 1996, pp. 927-936.
17. R. Carmona, S. Zhong, Adaptive smoothing respecting feature directions, IEEE Trans. Image Proc. 7 (1998) 353-358.
18. E. Kreyszig, Differential Geometry, University of Toronto Press, Toronto, 1959.
19. S. Di Zenzo, A note on the gradient of a multi-image, Computer Vision, Graphics, and Image Processing 33 (1986) 116-125.
20. B. Cabral, L. Leedom, Imaging vector fields using line integral convolution, Computer Graphics 27 (4) (1993) 263-272.
21. J. Weickert, Coherence-enhancing diffusion of colour images, in: A. Sanfeliu, J.J. Villanueva, J. Vitrià (Eds.), Proc. VII National Symposium on Pattern Recognition and Image Analysis (VII NSPRIA, Barcelona, April 21-25, 1997), Vol. 1, 1997, pp. 239-244.
22. A.R. Rao, B.C. Schunck, Computing oriented texture fields, CVGIP: Graphical Models and Image Processing 53 (1991) 157-185.
23. M.A. Förstner, E. Gülch, A fast operator for detection and precise location of distinct points, corners and centres of circular features, in: Proc. ISPRS Intercommission Conf. on Fast Processing of Photo-grammetric Data, Interlaken, 1987, pp. 281-305.
24. C.G. Harris, M. Stephens, A combined corner and edge detector, in: Proc. Fourth Alvey Vision Conf. (AVC 88, Manchester, Aug. 31-Sept. 2, 1988), 1988, pp. 147-152.
25. T. Lindeberg, Scale-space Theory in Computer Vision, Kluwer, Boston, 1994.
26. M. Kass, A. Witkin, Analyzing oriented patterns, Computer Vision, Graphics, and Image Processing 37 (1987) 362-385.
27. J. Bigün, G.H. Granlund, Optimal orientation detection of linear symmetry, in: Proc. First Int. Conf. on Computer Vision (ICCV '87, London, June 8-11, 1987), IEEE Computer Society Press, Washington, 1987, pp. 433-438.
28. R. Brügelmann, W. Förstner, Noise estimation for color edge extraction, in: W. Förstner, S. Ruwiedel (Eds.), Robust Computer Vision, Wichmann, Karlsruhe, 1992, pp. 90-107.
29. J. Weickert, Anisotropic Diffusion in Image Processing, Teubner, Stuttgart, 1998.
30. P. Perona, J. Malik, Scale space and edge detection using anisotropic diffusion, IEEE Trans. Pattern Anal. Mach. Intell. 12 (1990) 629-639.
31. F. Catté, P.-L. Lions, J.-M. Morel, T. Coll, Image selective smoothing and edge detection by nonlinear diffusion, SIAM J. Numer. Anal. 29 (1992) 182-193.
32. J.H. Rieger, Generic evolution of edges on families of diffused grey-value surfaces, J. Math. Imag. Vision 5 (1995) 207-217.
33. J. Weickert, K.J. Zuiderveld, B.M. ter Haar Romeny, W.J. Niessen, Parallel implementations of AOS schemes: A fast way of nonlinear diffusion filtering, in: Proc. 1997 IEEE International Conference on Image Processing (ICIP-97, Santa Barbara, Oct. 26-29, 1997), Vol. 3, 1997, pp. 396-399.
34. W.J. Niessen, K.L. Vincken, J. Weickert, M.A. Viergever, Three-dimensional MR brain segmentation, in: Proc. Sixth Int. Conf. on Computer Vision (ICCV '98, Bombay, Jan. 4-7, 1998), 1998, pp. 53-58.
35. J. Weickert, B.M. ter Haar Romeny, A. Lopez, W.J. van Enk, Orientation analysis by coherence-enhancing diffusion, in: Proc. Symp. Real World Computing (RWC '97, Tokyo, Jan. 29-31, 1997), 1997, pp. 96-103.
36. V. van Gogh, Starry night, Saint-Rémy, 1889. The Museum of Modern Art, New York.