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Coherence-Enhancing Shock Filters

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Pattern Recognition (DAGM 2003)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2781))

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Abstract

Shock filters are based in the idea to apply locally either a dilation or an erosion process, depending on whether the pixel belongs to the influence zone of a maximum or a minimum. They create a sharp shock between two influence zones and produce piecewise constant segmentations. In this paper we design specific shock filters for the enhancement of coherent flow-like structures. They are based on the idea to combine shock filtering with the robust orientation estimation by means of the structure tensor. Experiments with greyscale and colour images show that these novel filters may outperform previous shock filters as well as coherence-enhancing diffusion filters.

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References

  1. Alvarez, L., Mazorra, L.: Signal and image restoration using shock filters and anisotropic diffusion. SIAM Journal on Numerical Analysis 31, 590–605 (1994)

    Article  MATH  MathSciNet  Google Scholar 

  2. Bigün, J., Granlund, G.H., Wiklund, J.: Multidimensional orientation estimation with applications to texture analysis and optical flow. IEEE Transactions on Pattern Analysis and Machine Intelligence 13(8), 775–790 (1991)

    Article  Google Scholar 

  3. Brockett, R.W., Maragos, P.: Evolution equations for continuous-scale morphology. In: Proc. IEEE International Conference on Acoustics, Speech and Signal Processing, San Francisco, CA, March 1992, vol. 3, pp. 125–128 (1992)

    Google Scholar 

  4. Förstner, W., Gülch, E.: A fast operator for detection and precise location of distinct points, corners and centres of circular features. In: Proc. ISPRS Intercommission Conference on Fast Processing of Photogrammetric Data, Interlaken, Switzerland, June 1987, pp. 281–305 (1987)

    Google Scholar 

  5. Gilboa, G., Sochen, N.A., Zeevi, Y.Y.: Regularized shock filters and complex diffusion. In: Heyden, A., Sparr, G., Nielsen, M., Johansen, P. (eds.) ECCV 2002. LNCS, vol. 2350, pp. 399–413. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  6. Guichard, F., Morel, J.-M.: A note on two classical shock filters and their asymptotics. In: Kerckhove, M. (ed.) Scale-Space 2001. LNCS, vol. 2106, pp. 75–84. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  7. Höcker, C., Fehmers, G.: Fast structural interpretation with structure-oriented filtering. The Leading Edge 21(3), 238–243 (2002)

    Article  Google Scholar 

  8. Kimmel, R., Malladi, R., Sochen, N.: Images as embedded maps and minimal surfaces: movies, color, texture, and volumetric medical images. International Journal of Computer Vision 39(2), 111–129 (2000)

    Article  MATH  Google Scholar 

  9. Kornprobst, P., Deriche, R., Aubert, G.: Nonlinear operators in image restoration. In: Proc. 1997 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, San Juan, Puerto Rico, June 1997, pp. 325–330. IEEE Computer Society Press, Los Alamitos (1997)

    Chapter  Google Scholar 

  10. Kramer, H.P., Bruckner, J.B.: Iterations of a non-linear transformation for enhancement of digital images. Pattern Recognition 7, 53–58 (1975)

    Article  MATH  MathSciNet  Google Scholar 

  11. Osher, S., Rudin, L.: Shocks and other nonlinear filtering applied to image processing. In: Applications of Digital Image Processing XIV. Proceedings of SPIE, vol. 1567, pp. 414–431. SPIE Press, Bellingham (1991)

    Google Scholar 

  12. Osher, S., Rudin, L.I.: Feature-oriented image enhancement using shock filters. SIAM Journal on Numerical Analysis 27, 919–940 (1990)

    Article  MATH  Google Scholar 

  13. Osher, S., Sethian, J.A.: Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton–Jacobi formulations. Journal of Computational Physics 79, 12–49 (1988)

    Article  MATH  MathSciNet  Google Scholar 

  14. Perona, P., Malik, J.: Scale space and edge detection using anisotropic diffusion. IEEE Transactions on Pattern Analysis and Machine Intelligence 12, 629–639 (1990)

    Article  Google Scholar 

  15. Preußer, T., Rumpf, M.: Anisotropic nonlinear diffusion in flow visualization. In: Proc. 1999 IEEE Visualization Conference, San Francisco, CA, October 1999, pp. 223–232 (1999)

    Google Scholar 

  16. Rao, A.R., Schunck, B.G.: Computing oriented texture fields. In: CVGIP: Graphical Models and Image Processing, vol. 53, pp. 157–185 (1991)

    Google Scholar 

  17. Schavemaker, J.G.M., Reinders, M.J.T., Gerbrands, J.J., Backer, E.: Image sharpening by morphological filtering. Pattern Recognition 33, 997–1012 (2000)

    Article  Google Scholar 

  18. Solé, A.F., López, A., Sapiro, G.: Crease enhancement diffusion. Computer Vision and Image Understanding 84, 241–248 (2001)

    Article  MATH  Google Scholar 

  19. Wahl, F.M.: Digitale Bildsignalverarbeitung. Springer, Berlin (1984)

    Google Scholar 

  20. Weickert, J.: Anisotropic Diffusion in Image Processing. Teubner, Stuttgart (1998)

    MATH  Google Scholar 

  21. Weickert, J.: Coherence-enhancing diffusion filtering. International Journal of Computer Vision 31(2/3), 111–127 (1999)

    Article  Google Scholar 

  22. Weickert, J.: Coherence-enhancing diffusion of colour images. Image and Vision Computing 17(3–4), 199–210 (1999)

    Google Scholar 

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© 2003 Springer-Verlag Berlin Heidelberg

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Weickert, J. (2003). Coherence-Enhancing Shock Filters. In: Michaelis, B., Krell, G. (eds) Pattern Recognition. DAGM 2003. Lecture Notes in Computer Science, vol 2781. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-45243-0_1

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  • DOI: https://doi.org/10.1007/978-3-540-45243-0_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-40861-1

  • Online ISBN: 978-3-540-45243-0

  • eBook Packages: Springer Book Archive

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