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Independent Modes of Variation in Point Distribution Models

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Visual Form 2001 (IWVF 2001)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2059))

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Abstract

A Point Distribution Model requires first the choice of an appropriate representation for the data and then the estimation of the density within this representation. Independent Component Analysis is a linear transform that represents the data in a space where statistical dependencies between the components are minimized. In this paper, we propose Independent Component Analysis as a representation for point distributions. We observe that within this representation, the density estimation is greatly simplified and propose solutions to the most common problems concerning shapes. Mainly, testing shape feasibility and finding the nearest feasible shape. We also observe how the description of shape deformations in terms of statistically independent modes provides a more intuitive and manageable framework. We perform experiments to illustrate the results and compare them with existing approaches.

This work is supported by CICYT and EU grants TAP98-0631 and 2FD97-0220 and the Secretaría de Estado de Educación, Universidades, Investigación y Desarollo from the Ministerio de Educación y Cultura de España.

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Author information

Authors and Affiliations

  1. Centre de Visiò per Computador, Dept. Informàtica, Universitat Autònoma de Barcelona, 08193, Bellaterra, Barcelona, Spain

    Marco Bressan & Jordi Vitrià

Authors
  1. Marco Bressan
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  2. Jordi Vitrià
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Editor information

Editors and Affiliations

  1. Istituto di Cibernetica, Via Toiano 6, 80072, Arco Felice (Naples), Italy

    Carlo Arcelli  & Gabriella Sanniti di Baja  & 

  2. Dipartimento di Informatica e Sitemistica, Universitá di Napoli “Frederico II”, Via Claudio 21, 80125, Naples, Italy

    Luigi P. Cordella

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© 2001 Springer-Verlag Berlin Heidelberg

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Bressan, M., Vitrià, J. (2001). Independent Modes of Variation in Point Distribution Models. In: Arcelli, C., Cordella, L.P., di Baja, G.S. (eds) Visual Form 2001. IWVF 2001. Lecture Notes in Computer Science, vol 2059. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45129-3_10

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  • DOI: https://doi.org/10.1007/3-540-45129-3_10

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-42120-7

  • Online ISBN: 978-3-540-45129-7

  • eBook Packages: Springer Book Archive

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