Abstract

A noise erosion operator based on partial differential equation (PDE) is introduced, which has an excellent ability of noise removal and edge preservation for two-dimensional (2D) gradient data. The operator is applied to estimate a new diffusion coefficient. Experimental results demonstrate that anisotropic diffusion based on this new erosion operator can efficiently reduce noise and sharpen object boundaries.

© 2005 Chinese Optics Letters

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  2. G. Gerig, O. Kubler, R. Kikinis, and F. A. Jolesz, IEEE Trans. Medical Imaging 11, 221 (1992).
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  5. S. Osher and J. A. Sethian, Computational Physics 79, 12 (1988).
  6. J. Immerker, Computer Vision and Image Understanding 64, 300 (1996).

1997 (1)

C. A. Segall and S. T. Acton, in Proceedings of International Conference on Image Processing 3, 348 (1997).

1996 (1)

J. Immerker, Computer Vision and Image Understanding 64, 300 (1996).

1992 (2)

G. Gerig, O. Kubler, R. Kikinis, and F. A. Jolesz, IEEE Trans. Medical Imaging 11, 221 (1992).

F. Catte, P. L. Lions, J. M. Morel, and T. Coll, SIAM J. Numerical Analysis 29, 182 (1992).

1990 (1)

P. Perona and J. Malik, IEEE Trans. Pattern Anal. Machine Intell. 12, 629 (1990).

1988 (1)

S. Osher and J. A. Sethian, Computational Physics 79, 12 (1988).

Acton, S. T.

C. A. Segall and S. T. Acton, in Proceedings of International Conference on Image Processing 3, 348 (1997).

Catte, F.

F. Catte, P. L. Lions, J. M. Morel, and T. Coll, SIAM J. Numerical Analysis 29, 182 (1992).

Coll, T.

F. Catte, P. L. Lions, J. M. Morel, and T. Coll, SIAM J. Numerical Analysis 29, 182 (1992).

Gerig, G.

G. Gerig, O. Kubler, R. Kikinis, and F. A. Jolesz, IEEE Trans. Medical Imaging 11, 221 (1992).

Immerker, J.

J. Immerker, Computer Vision and Image Understanding 64, 300 (1996).

Jolesz, F. A.

G. Gerig, O. Kubler, R. Kikinis, and F. A. Jolesz, IEEE Trans. Medical Imaging 11, 221 (1992).

Kikinis, R.

G. Gerig, O. Kubler, R. Kikinis, and F. A. Jolesz, IEEE Trans. Medical Imaging 11, 221 (1992).

Kubler, O.

G. Gerig, O. Kubler, R. Kikinis, and F. A. Jolesz, IEEE Trans. Medical Imaging 11, 221 (1992).

Lions, P. L.

F. Catte, P. L. Lions, J. M. Morel, and T. Coll, SIAM J. Numerical Analysis 29, 182 (1992).

Malik, J.

P. Perona and J. Malik, IEEE Trans. Pattern Anal. Machine Intell. 12, 629 (1990).

Morel, J. M.

F. Catte, P. L. Lions, J. M. Morel, and T. Coll, SIAM J. Numerical Analysis 29, 182 (1992).

Osher, S.

S. Osher and J. A. Sethian, Computational Physics 79, 12 (1988).

Perona, P.

P. Perona and J. Malik, IEEE Trans. Pattern Anal. Machine Intell. 12, 629 (1990).

Segall, C. A.

C. A. Segall and S. T. Acton, in Proceedings of International Conference on Image Processing 3, 348 (1997).

Sethian, J. A.

S. Osher and J. A. Sethian, Computational Physics 79, 12 (1988).

Computational Physics (1)

S. Osher and J. A. Sethian, Computational Physics 79, 12 (1988).

Computer Vision and Image Understanding (1)

J. Immerker, Computer Vision and Image Understanding 64, 300 (1996).

IEEE Trans. Medical Imaging (1)

G. Gerig, O. Kubler, R. Kikinis, and F. A. Jolesz, IEEE Trans. Medical Imaging 11, 221 (1992).

IEEE Trans. Pattern Anal. Machine Intell. (1)

P. Perona and J. Malik, IEEE Trans. Pattern Anal. Machine Intell. 12, 629 (1990).

in Proceedings of International Conference on Image Processing (1)

C. A. Segall and S. T. Acton, in Proceedings of International Conference on Image Processing 3, 348 (1997).

SIAM J. Numerical Analysis (1)

F. Catte, P. L. Lions, J. M. Morel, and T. Coll, SIAM J. Numerical Analysis 29, 182 (1992).

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