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Approximation Theory XIII: San Antonio 2010 pp 95–109Cite as

Active Geometric Wavelets

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Part of the book series: Springer Proceedings in Mathematics ((PROM,volume 13))

Abstract

We present an algorithm for highly geometric sparse representation. The algorithm combines the adaptive Geometric Wavelets method with the Active Contour segmentation to overcome limitations of both algorithms. It generalizes the Geometric Wavelets by allowing to adaptively construct wavelets supported on curved domains. It also improves upon the Active Contour method that can only be used to segment a limited number of objects. We show applications of this new method in medical image segmentation.

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Author information

Authors and Affiliations

  1. School of Mathematical Sciences, Tel Aviv University, Tel Aviv, 69978, Israel

    Itai Gershtansky

  2. GE Healthcare and School of Mathematical Sciences, Tel Aviv University, Tel Aviv, 69978, Israel

    Shai Dekel

Authors
  1. Itai Gershtansky
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  2. Shai Dekel
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Corresponding author

Correspondence to Itai Gershtansky .

Editor information

Editors and Affiliations

  1. , Department of Mathematics, Vanderbilt University, 1326 Stevenson Center, Nashville, 37240, Tennessee, USA

    Marian Neamtu

  2. , Department of Mathematics, Vanderbilt University, 1326 Stevenson Center, Nashville, 37240, Tennessee, USA

    Larry Schumaker

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Gershtansky, I., Dekel, S. (2012). Active Geometric Wavelets. In: Neamtu, M., Schumaker, L. (eds) Approximation Theory XIII: San Antonio 2010. Springer Proceedings in Mathematics, vol 13. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-0772-0_7

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