Adaptive smoothing respecting feature directions

IEEE Transactions on Image Processing

Volumn 7, Issue 3, 1998, Pages 353-358

  Carmona, René A ^a,b   Zhong, Sifen ^a  

^a PRINCETON UNIVERSITY   (United States)

^b IEEE   (United States)

Author keywords

Adaptive smoothing; Anisotropic diffusion

Indexed keywords

DIFFERENTIATION (CALCULUS); FUNCTIONS; IMAGE PROCESSING; SET THEORY;

HESSIAN METHOD; HIGHER ORDER DIFFERENTIATIONS; SPACE FREQUENCY ANALYSIS;

FEATURE EXTRACTION;

EID: 0032028277     PISSN: 10577149     EISSN: None     Source Type: Journal    
DOI: 10.1109/83.661185     Document Type: Review

References (15)

1. L. Alvarez, F. Guichard, P. Lions, and J. Morel, "Axioms and fundamental equation of image processing," Arch. Ration. Mechan. Anal., vol. 123, pp. 199-125, 1993.
2. L. Alvarez and L. Mazorra, "Signal and image restoration using shock filters and anisotropic diffusion," SIAM J. Numer. Anal., vol. 123, pp. 590-605, 1994.
3. A. Bovik, N. Gopal, T. Emmoth, and A. Restrepo, "Localized measurement of emergent image frequencies by Gabor wavelet," IEEE Trans. Inform. Theory, vol. 38, pp. 691-712, 1992.
4. J. Daugman, "Complete discrete 2-D Gabor transforms by neural networks for image analysis and compression," IEEE Trans. Acoust., Speech, Signal Processing, vol. 36, pp. 1169-1179, 1988.
5. D. Gabor, "Theory of communication," J. Inst. Elect. Eng., vol. 93, pp. 429-457, 1946.
6. P. J. Olver, G. Sapiro, and A. Tannenbaum, "Affine invariant detection: Edges, active contours and segments," in Computer Vision and Pattern Recognition. Piscataway, NJ: IEEE Press, 1996, pp. 520-525.
7. P. Perona and J. Malik, "Scale space and edge detection using anisotropic diffusion," IEEE Trans. Pattern Anal. Machine Intell., vol. 12, pp. 629-639, 1990.
8. B. M. ter Haar Romeny, Ed., Geometry Driven Diffusion in Computer Vision. Boston, MA: Kluwer, 1994.
9. L. Rudin, S. Osher, and E. Fatemi, "Nonlinear total variation based noise removal algorithms," Physica D, vol. 60, pp. 259-268, 1992.
10. G. Sapiro, "Vector valued active contours," in Computer Vision and Pattern Recognition. Piscataway, NJ: IEEE Press, 1996, pp. 680-685.
11. _, "From active contours to anisotropic diffusion: Connections between basic PDE's in image processing," in Proc. Int. Conf. Image Processing IEEE Lausanne, Switzerland, Sept. 16-19, 1996, vol. I, pp. 477-480.
12. Wand and Binford, "Generic model based estimation and detection of discontinuities in image surfaces," in Proc. Image Understanding Workshop, 1994.
13. J. Weickert, "Theoretical foundations of anisotropic diffusion in image processing," in Theoretical Foundations of Computer Vision, W. Kropatsch, R. Klette, and F. Solina, Eds. New York: Springer-Verlag, 1996, Comput. suppl. 11, pp. 221-236.
14. _, "Multiscale texture enhancement," in Computer Analysis of Images and Patterns, vol. 970, V. Hlaváč, R. Šára, Eds. New York: Springer-Verlag, 1995, pp. 230-237.
15. J. A. Weickert, B. M. ter Haar Romeny, and M. A. Viergever, "Conservative image transformations with restoration and scale-space properties," in Proc. IEEE Int. Conf. Image Processing Lausanne, Switzerland, Sept. 16-19, 1996, vol. I, pp. 465-468.