Complementary linear biases in spatial derivative estimation for improving geometry-driven diffusion processes

作者: W.D. Toczyski , N.P. Papnikolopoulos

DOI: 10.1109/ICPR.2000.903474

关键词:

摘要: This paper introduces a broadly applicable technique for visibly improving the digitized, grey-level outputs produced by host of iterative geometric diffusion methods. By replacing standard, central-difference estimates discrete spatial gradients with alternating image derivative that are offset known, complementary biases, errors accumulated during iteration reduced and quality diffusions is improved. unexpected synergy occurs at no added computational cost over central difference Very simple to implement, innovation introduced level derivatives; hence, given process, any derived higher mathematical properties-for example, group invariance or scale-space properties-can be preserved.

参考文章(23)
Ron Kimmel, Nahum Kiryati, Alfred M. Bruckstein, Analyzing and Synthesizing Images by Evolving Curves with theOsher-Sethian Method International Journal of Computer Vision. ,vol. 24, pp. 37- 55 ,(1997) , 10.1023/A:1007970107971
Homer H. Pien, Mukund Desai, Jayant Shah, Segmentation of MR Images using Curve Evolution and Prior Information International Journal of Pattern Recognition and Artificial Intelligence. ,vol. 11, pp. 1233- 1245 ,(1997) , 10.1142/S0218001497000573
Z Sibel Tari, Jayant Shah, Homer Pien, Extraction of Shape Skeletons from Grayscale Images Computer Vision and Image Understanding. ,vol. 66, pp. 133- 146 ,(1997) , 10.1006/CVIU.1997.0612
Guillermo Sapiro, Allen Tannenbaum, Affine invariant scale-space International Journal of Computer Vision. ,vol. 11, pp. 25- 44 ,(1993) , 10.1007/BF01420591
Stanley Osher, James A Sethian, Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations Journal of Computational Physics. ,vol. 79, pp. 12- 49 ,(1988) , 10.1016/0021-9991(88)90002-2
M.J. Black, G. Sapiro, D.H. Marimont, D. Heeger, Robust anisotropic diffusion IEEE Transactions on Image Processing. ,vol. 7, pp. 421- 432 ,(1998) , 10.1109/83.661192
Jan J. Koenderink, The structure of images Biological Cybernetics. ,vol. 50, pp. 363- 370 ,(1984) , 10.1007/BF00336961
B. Fischl, E.L. Schwartz, Learned adaptive nonlinear filtering for anisotropic diffusion approximation in image processing international conference on pattern recognition. ,vol. 4, pp. 276- 280 ,(1996) , 10.1109/ICPR.1996.547430
Benjamin B Kimia, Allen Tannenbaum, Steven W Zucker, On the evolution of curves via a function of curvature. I. The classical case Journal of Mathematical Analysis and Applications. ,vol. 163, pp. 438- 458 ,(1992) , 10.1016/0022-247X(92)90260-K