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A Simple and Flexible Mesh Parameterization Method

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Combinatorial Image Analysis (IWCIA 2011)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 6636))

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Abstract

We describe a method to compute conformal parameterizations with a natural boundary based on a simple differentiable expression measuring angles between edges by using complex numbers. The method can be adapted to preserve metric properties or map textures with constrained positions. Some illustrations are shown to assess the efficiency of the algorithms.

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Author information

Authors and Affiliations

  1. Clermont-Université, LIMOS, Complexe des Cézeaux, 63172, Aubière, France

    Colin Cartade & Rémy Malgouyres

  2. Université Lyon 1, IUFM, Bât. Braconnier, 69622, Vileurbanne, France

    Christian Mercat

  3. Clermont-Université, ISIT, Complexe des Cézeaux, 63172, Aubière, France

    Chafik Samir

Authors
  1. Colin Cartade
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  2. Rémy Malgouyres
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  3. Christian Mercat
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  4. Chafik Samir
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Editor information

Editors and Affiliations

  1. Department of Electrical and Computer Engineering, The University of Texas, 1 University Station C0803, 78712-0240, Austin, TX, USA

    Jake K. Aggarwal

  2. Department of Computer and Information Science, State University of New York at Fredonia, 280 Central Ave., 14063, Fredonia, NY, USA

    Reneta P. Barneva

  3. Mathematics Department, SUNY Buffalo State College, 1300 Elmwood Ave., 14222, Buffalo, NY, USA

    Valentin E. Brimkov

  4. Esuela Politécnica Superior, Departamento de Ingenería Informática, Universidad Autónoma de Madrid, c/Tomas y Valiente, 11, 28049, Cantoblanco, Madrid, Spain

    Kostadin N. Koroutchev

  5. Departamento de Física Fundamental, Universidad Nacional de Educación a Distancia, c/ Senda del Rey 9, 28080, Madrid, Spain

    Elka R. Korutcheva

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© 2011 Springer-Verlag Berlin Heidelberg

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Cartade, C., Malgouyres, R., Mercat, C., Samir, C. (2011). A Simple and Flexible Mesh Parameterization Method. In: Aggarwal, J.K., Barneva, R.P., Brimkov, V.E., Koroutchev, K.N., Korutcheva, E.R. (eds) Combinatorial Image Analysis. IWCIA 2011. Lecture Notes in Computer Science, vol 6636. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21073-0_16

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  • DOI: https://doi.org/10.1007/978-3-642-21073-0_16

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-21072-3

  • Online ISBN: 978-3-642-21073-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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