Abstract
In this paper a novel approach to the problem of edge preserving noise reduction in color images is proposed and evaluated. The new algorithm is based on the combined forward and backward anisotropic diffusion with incorporated time dependent cooling process. This method is able to efficiently remove image noise while preserving and even enhancing image edges. The proposed algorithm can be used as a first step of different techniques, which are based on color, shape and spatial location information.
This work was partially supported by KBN grant PBZ-KBN-040/P04/08
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
L. Alvarez, F. Guichard, P.L. Lions, J.M. Morel, Image selective smoothing and edge detection by nonlinear diffusion, SIAM J. Numer. Anal., 29, 845–866, 1993
F. Catté, F. Dibos, G. Koepfler, Image selective smoothing and edge detection by nonlinear diffusion, SIAM J. Numer. Anal., 29, 182–193, 1992
P. Perona, J. Malik, Scale space and edge detection using anisotropic diffusion, IEEE PAMI, Vol. 12, No. 7 pp. 629–639, July 1990
R. Whitaker, G. Gerig, Vector-Valued Diffusion, Ed. B.M. ter Haar Romeny, “Geometry-Driven Diffusion in Computer Vision”, Kluwer Academic Press, pp. 93–134, 1994
M.J. Black, G. Sapiro, D.H. Marimont and D. Heeger, Robust anisotropic diffusion, IEEE Transactions on Image Processing, Vol. 7(3), pp. 421–432, March 1998
J. Weickert, “Anisotropic Diffusion in Image Processing”, Stuttgart-Germany: Teubner-Verlag, 1998
P. Blomgren, T. Chan, Color TV: Total variation methods for restoration of vector valued images, IEEE Transactions on Image Processing, March 1998, Special issue on Geometry Driven Diffusion and PDEs in Image Processing
G. Gilboa, Y. Zeevi, N. Sochen, Anisotropic selective inverse diffusion for signal enhancement in the presence of noise, Proc. IEEE ICASSP-2000, Istanbul, Turkey, vol. I, pp. 211–224, June 2000
G. Gilboa, Y. Zeevi, N. Sochen, Resolution enhancement by forward-and-backward nonlinear diffusion process, Nonlinear Signal and Image Processing, Baltimore, Maryland, June 2001
G. Gilboa, Y. Zeevi, N. Sochen, Signal and image enhancement by a generalized forward-and-backward adaptive diffusion process, EUSIPCO-2000, Tampere, Finland, September 2000
G. Gerig, R. Kikinis, F.A. Jolesz, Nonlinear anisotropic filtering of MRI data, IEEE Trans. Medical Imaging, 11, 221–232, 1992
X. Li, T. Chen, Nonlinear diffusion with multiple edginess thresholds, Pattern Recognition 27, 1029–1037, 1994
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2002 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Smolka, B. (2002). Combined Forward and Backward Anisotropic Diffusion Filtering of Color Images. In: Van Gool, L. (eds) Pattern Recognition. DAGM 2002. Lecture Notes in Computer Science, vol 2449. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45783-6_38
Download citation
DOI: https://doi.org/10.1007/3-540-45783-6_38
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-44209-7
Online ISBN: 978-3-540-45783-1
eBook Packages: Springer Book Archive