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An High Order Finite Co-volume Scheme for Denoising Using Radial Basis Functions

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Scale Space and Variational Methods in Computer Vision (SSVM 2007)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 4485))

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Abstract

In this work we investigate finite co-volume methods for solving Partial Differential Equation (PDE) based diffusion models for noise removal in functional surfaces. We generalized the model proposed by Tai et al. [1][2] based on the reconstruction of a noise-reduced surface from the smoothed normal field, considering a curvature preserving term. The discretization of the PDE model by basic finite co-volume schemes on unstructured grids is investigated. The accuracy of the numerical model is then improved by using an higher order optimal recovery based on Radial Basis Functions (RBF). Preliminary numerical results demonstrate the effectiveness of the new numerical approach.

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Authors and Affiliations

  1. Department of Mathematics-CIRAM, University of Bologna, Bologna, Italy

    Serena Morigi & Fiorella Sgallari

Authors
  1. Serena Morigi
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  2. Fiorella Sgallari
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Fiorella Sgallari Almerico Murli Nikos Paragios

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© 2007 Springer Berlin Heidelberg

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Morigi, S., Sgallari, F. (2007). An High Order Finite Co-volume Scheme for Denoising Using Radial Basis Functions. In: Sgallari, F., Murli, A., Paragios, N. (eds) Scale Space and Variational Methods in Computer Vision. SSVM 2007. Lecture Notes in Computer Science, vol 4485. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72823-8_5

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  • DOI: https://doi.org/10.1007/978-3-540-72823-8_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-72822-1

  • Online ISBN: 978-3-540-72823-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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