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Level Set Models for Analysis of 2D and 3D Echocardiographic Data

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Geometric Methods in Bio-Medical Image Processing

Part of the book series: Mathematics and Visualization ((MATHVISUAL))

Abstract

We propose a partial differential equation (PDE) for filtering and segmentation of echocardiographic images based on a geometric-driven scheme. The method allows edge-preserving image smoothing and a semi-automatic segmentation of the heart chambers, that regularizes the shapes and improves edge fidelity especially in presence of distinct gaps in the edge map as is common in ultrasound imagery. A numerical scheme for solving the proposed PDE is borrowed from level set methods. Results on human in vivo acquired 2D, 2D+time,3D, 3D+time echocardiographic images are shown.

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of California, Berkeley and Lawrence Berkeley National Laboratory, University of California, Berkeley, USA

    R. Malladi

  2. DEIS, University of Bologna, Italy

    A. Sarti & C. Lamberti

Authors
  1. A. Sarti
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  2. C. Lamberti
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  3. R. Malladi
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Editor information

Editors and Affiliations

  1. 50A-1148 Lawrence Berkeley National Laboratory, University of California at Berkeley, 1, Cyclotron Rd., Berkeley, CA, 94720, USA

    Ravikanth Malladi

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© 2002 Springer-Verlag Berlin Heidelberg

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Sarti, A., Lamberti, C., Malladi, R. (2002). Level Set Models for Analysis of 2D and 3D Echocardiographic Data. In: Malladi, R. (eds) Geometric Methods in Bio-Medical Image Processing. Mathematics and Visualization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55987-7_3

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  • DOI: https://doi.org/10.1007/978-3-642-55987-7_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-62784-2

  • Online ISBN: 978-3-642-55987-7

  • eBook Packages: Springer Book Archive

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