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Edge-Preserving Image Reconstruction with Wavelet-Domain Edge Continuation

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Image Analysis and Recognition (ICIAR 2009)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 5627))

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Abstract

The standard approach to image reconstruction is to stabilize the problem by including an edge-preserving roughness penalty in addition to faithfulness to the data. However, this methodology produces noisy object boundaries and creates a staircase effect. The existing attempts to favor the formation of smooth contour lines take the edge field explicitly into account; they either are computationally expensive or produce disappointing results. In this paper, we propose to incorporate the smoothness of the edge field in an implicit way by means of an additional penalty term defined in the wavelet domain. We also derive an efficient half-quadratic algorithm to solve the resulting optimization problem. Numerical experiments show that our technique preserves edge sharpness while smoothing contour lines; it produces visually pleasing reconstructions which are quantitatively better than the results obtained without wavelet domain constraints.

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Author information

Authors and Affiliations

  1. CREATIS (CNRS research unit UMR5520 and INSERM research unit U630), INSA Lyon, Bât. Blaise Pascal, 69621, Villeurbanne cedex, France

    Marc C. Robini, Pierre-Jean Viverge, Yue-Min Zhu & Isabelle E. Magnin

Authors
  1. Marc C. Robini
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  2. Pierre-Jean Viverge
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  3. Yue-Min Zhu
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  4. Isabelle E. Magnin
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Editor information

Editors and Affiliations

  1. Department of Electrical and Computer Engineering, University of Waterloo, N2L 3G1, Waterloo, Ontario, Canada

    Mohamed Kamel

  2. Faculty of Engineering, Institute of Biomedical Engineering, University of Porto, Rua Dr. Roberto Frias, 4200-465, Porto, Portugal

    Aurélio Campilho

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© 2009 Springer-Verlag Berlin Heidelberg

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Robini, M.C., Viverge, PJ., Zhu, YM., Magnin, I.E. (2009). Edge-Preserving Image Reconstruction with Wavelet-Domain Edge Continuation. In: Kamel, M., Campilho, A. (eds) Image Analysis and Recognition. ICIAR 2009. Lecture Notes in Computer Science, vol 5627. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02611-9_2

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  • DOI: https://doi.org/10.1007/978-3-642-02611-9_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-02610-2

  • Online ISBN: 978-3-642-02611-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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