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An Edge-Preserving Multigrid-Like Technique for Image Denoising

  • Conference paper
Image Analysis and Recognition (ICIAR 2006)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 4141))

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Abstract

Techniques based on the Well-Balanced Flow Equation have been employed as efficient tools for edge preserving noise removal. Although effective, this technique demands high computational effort, rendering it not practical in several applications. This work aims at proposing a multigrid like technique for speeding up the solution of the Well-Balanced Flow equation. In fact, the diffusion equation is solved in a coarse grid and a coarse-to-fine error correction is applied in order to generate the desired solution. The transfer between coarser and finer grids is made by the Mitchell-Filter, a well known interpolation scheme that is designed for preserving edges. Numerical results are compared quantitative and qualitatively with other approaches, showing that our method produces similar image quality with much smaller computational time.

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References

  1. Acton, S.T.: Multigrid anisotropic diffusion. IEEE Transaction on Image Processing 7(3), 280–291 (1998)

    Article  MathSciNet  Google Scholar 

  2. Alvarez, L., Lions, P., Morel, J.: Image selective smoothing and edge detection by nonlinear diffusion. SIAM J. Numer. Anal. 29(3), 182–193 (1992)

    Article  MathSciNet  Google Scholar 

  3. Barcelos, C.A.Z., Boaventura, M., Castro Silva Jr., E.: Edge detection and noise removal by use of a partial differential equation with automatic selection of parameters. Computational and Applied Mathematics 24(1), 131–150 (2005)

    MathSciNet  Google Scholar 

  4. Barcelos, C.A.Z., Boaventura, M., Castro Silva Jr., E.: A well-balanced flow equation for noise removal and edge detection. IEEE Transaction on Image Processing 12(7), 751–763 (2003)

    Article  Google Scholar 

  5. Briggs, W.L.: A Multigrid Tutorial. Society for Industrial and Applied Mathematics (1987)

    Google Scholar 

  6. Duff, T.: Splines in Animation and Modeling. State of the Art in Image Synthesis. In: SIGGRAPH 1986 Course Notes (1986)

    Google Scholar 

  7. Hou, H.S., Andrews, H.C.: Cubic splines for image interpolation and digital filtering. IEEE Trans. Acoust., Speech, Signal Processing ASSP-26, 508–517 (1978)

    Google Scholar 

  8. Keys, R.: Cubic convolution interpolation for digital image processing. IEEE Trans. Acoust., Speech, Signal Processing ASSP-29, 1153–1160 (1981)

    Article  MathSciNet  Google Scholar 

  9. Koenderink, J.: The structure of images. Biol. Cybernet 50, 363–370 (1984)

    Article  MathSciNet  MATH  Google Scholar 

  10. Marr, D., Hildreth, E.: Theory of edge detection. Proc. Roy. Soc. 207, 187–217 (1980)

    Article  Google Scholar 

  11. McCormick, S.F. (ed.): Multigrid methods. Frontiers in Applied Mathematics, vol. 3. Society for Industrial and Applied Mathematics (SIAM), Philadelphia (1987)

    MATH  Google Scholar 

  12. Mitchell, D., Netravali, A.: Reconstruction filters in computer graphics. Computer Graphics 22(4), 221–228 (1988)

    Article  Google Scholar 

  13. Perona, P., Malik, J.: Scale-space and edge detection using anisotropic diffusion. IEEE Transaction on Pattern Analysis and Machine Intelligence 12(7), 629–639 (1990)

    Article  Google Scholar 

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© 2006 Springer-Verlag Berlin Heidelberg

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Ferraz, C.T., Nonato, L.G., Cuminato, J.A. (2006). An Edge-Preserving Multigrid-Like Technique for Image Denoising. In: Campilho, A., Kamel, M.S. (eds) Image Analysis and Recognition. ICIAR 2006. Lecture Notes in Computer Science, vol 4141. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11867586_12

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  • DOI: https://doi.org/10.1007/11867586_12

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-44891-4

  • Online ISBN: 978-3-540-44893-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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