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Nonlinear Image Filtering with Edge and Corner Enhancement
August 1992 (vol. 14 no. 8)
pp. 826-833

The authors describe a model of nonlinear image filtering for noise reduction and edge enhancement using anisotropic diffusion. The method is designed to enhance not only edges, but corners and T junctions as well. The method roughly corresponds to a nonlinear diffusion process with backward heat flow across the strong edges. Such a process is ill posed, making the results depend strongly on how the algorithm differs from the diffusion process. Two ways of modifying the equations using simulations on a variable grid are studied.

[1] P. Perona and J. Malik, "Scale-space and edge detection using anisotropic diffusion,"IEEE Trans. Patt. Anal. Machine Intell., vol. PAMI-12, pp. 629-639, July 1990.
[2] G. Kanizsa,Organization in Vision. New York: Praeger, 1979, ch. 1-2.
[3] K. Nakayama and S. Shimojo, "Toward a neural understanding of visual surface representation," inProc. Cold Spring Harbor Symp. Quantitative Biol.(T. Sejnowski, E. R. Kandel, C. F. Stevens, and J. D. Watson, Eds.), vol. 55 (The Brain), to be published.
[4] P. J. Kellman, and T. F. Shipley, "Visual interpolation in object perception: A computational theory," Swarthmore College, to be published.
[5] R. von der Heydt, E. Peterhans, and G. Baumgartner, "Illusory contours and cortical neuron responses,"Sci., vol. 224, pp. 1260-1262, 1984.
[6] M. Nitzberg and D. Mumford, "The 2.1-D sketch," inProc. ICCV 1990.
[7] M. Nitzberg, "Depth from overlap," Ph.D. thesis, Harvard Univ., Cambridge, MA, 1991.
[8] R. E. Graham, "Snow-removal: A noise-stripping process for picture signals,"IRE Trans. Inform. Theory, vol. IT-8, pp. 129-144, Feb. 1962.
[9] T. G. Newman and H. Dirilten, "A nonlinear transformation for digital picture processing,"IEEE Trans. Comput., vol. C-22, pp. 869-873, 1973.
[10] A. Lev, S. Zucker, and A. Rosenfeld, "Iterative enhancement of noisy images,"IEEE Trans. Syst. Man Cybern., vol. SMC-7, pp. 435-442, 1977.
[11] M. Nagao and T. Matsuyama, "Edge preserving smoothing,"Comput. Graphics Image Processing, vol. 9, pp. 394-407, 1979.
[12] M. Nitzberg and T. Shiota, "Nonlinear smoothing with edge and corner enhancement," Harvard Robotics Lab. Tech. Rep. 90-2, Harvard Univ., Cambridge, MA, Apr. 1990.
[13] B. P. Flannery, W. H. Press, S. A. Teukolsky, and W. T. Vetterling,Numerical Recipes in C. Cambridge, UK: Cambridge University Press, 1988.
[14] H. H. Nagel, "Displacement vectors derived from second-order intensity variations in image sequences,"Comput. Vision Graphics Image Processing, vol. 21, pp. 85-117, 1983.
[15] L. Kitchen and A. Rosenfeld, "Gray-level corner detection," Tech. Rep. TR-887, Comput. Sci. Center, Univ. of Maryland, College Park, 1980.

Index Terms:
picture processing; corner enhancement; model; nonlinear image filtering; noise reduction; edge enhancement; anisotropic diffusion; filtering and prediction theory; picture processing
M. Nitzberg, T. Shiota, "Nonlinear Image Filtering with Edge and Corner Enhancement," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 14, no. 8, pp. 826-833, Aug. 1992, doi:10.1109/34.149593
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