Abstract
The ideas of texture analysis by means of the structure tensor are combined with the scale-space concept of anisotropic diffusion filtering. In contrast to many other nonlinear diffusion techniques, the proposed one uses a diffusion tensor instead of a scalar diffusivity. This allows true anisotropic behaviour. The preferred diffusion direction is determined according to the phase angle of the structure tensor. The diffusivity in this direction is increasing with the local coherence of the signal. This filter is constructed in such a way that it gives a mathematically well-funded scale-space representation of the original image. Experiments demonstrate its usefulness for the processing of interrupted one-dimensional structures such as fingerprint and fabric images.
supported by a grant from “Stiftung Rheinland-Pfalz für Innovation”
This is a preview of subscription content, log in via an institution to check access.
Preview
Unable to display preview. Download preview PDF.
References
Alvarez, L., Lions, P.-L., Morel, J.-M.: Image selective smoothing and edge detection by nonlinear diffusion. II. SIAM J. Numer. Anal. 29 (1992) 845–866
Catté, F., Lions, P.-L., Morel, J.-M., Coll, T.: Image selective smoothing and edge detection by nonlinear diffusion. SIAM J. Numer. Anal. 29 (1992) 182–193
Cottet, G.-H., Germain, L.: Image processing through reaction combined with non-linear diffusion. Math. Comp. 61 (1993) 659–673
Jähne, B.: Spatio-temporal image processing. Lecture Notes in Comp. Science, Vol. 751, Springer, Berlin, 1993
Kimia, B.B., Tannenbaum, A., Zucker, S.W.: Toward a computational theory of shape: An overview. O. Faugeras (Ed.), Proc. ECCV 90, Lecture Notes in Comp. Science, Vol. 427, Springer, Berlin, 402–407, 1990
Lindeberg, T.: Scale-space theory in computer vision. Kluwer, Boston, 1994
Nitzberg, M., Shiota, T.: Nonlinear image filtering with edge and corner enhancement. IEEE Trans. Pattern Anal. Mach. Intell. 14 (1992) 826–833
Perona, P., Malik, J.: Scale space and edge detection using anisotropic diffusion. IEEE Trans. Pattern Anal. Mach. Intell. 12 (1990) 629–639
Rao, A.R., Schunck, B.G.: Computing oriented texture fields. CVGIP: Graphical Models and Image Processing, 53 (1991) 157–185
Weickert, J.: Anisotropic diffusion filters for image processing based quality control. In Fasano, A., Primicerio, M. (Eds.): Proc. Seventh European Conf. on Mathematics in Industry. Teubner, Stuttgart, 355–362, 1994
Weickert, J.: Scale-space properties of nonlinear diffusion filtering with a diffusion tensor. Report No. 110. Laboratory of Technomathematics, University of Kaiserslautern, P.O. Box 3049, 67653 Kaiserslautern, Germany, 1994 (submitted)
Weickert, J.: Theoretical foundations of anisotropic diffusion in image processing. Computing Supplement (in press)
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1995 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Weickert, J. (1995). Multiscale texture enhancement. In: Hlaváč, V., Šára, R. (eds) Computer Analysis of Images and Patterns. CAIP 1995. Lecture Notes in Computer Science, vol 970. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-60268-2_301
Download citation
DOI: https://doi.org/10.1007/3-540-60268-2_301
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-60268-2
Online ISBN: 978-3-540-44781-8
eBook Packages: Springer Book Archive