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Shape from Motion Revisited

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Active Media Technology (AMT 2014)

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 8610))

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Abstract

This brief tutorial paper on Shape from Motion (SfM), the profound 3D object modeling method, focuses on mathematical background for the batch scenario. Error bounds for pixels with respect to depth change are derived to analyze the applicability of orthographic projection versus perspective projection. Key geometric properties, used for SfM algorithms design and analysis, are stated and proved. Moreover, the case of measurement matrix with rank two, for non planar shapes is fully characterized and its role in shape ambiguity explored. Other sources of SfM ambiguity are presented what justifies the definition of ambiguous error function used for nonlinear optimization of rotation coefficients. Experiments refer to head pose identification and 3D face animation and show the good visual accuracy of SfM approach for digital 3D face projects.

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Author information

Authors and Affiliations

  1. Faculty of Electronics and Information Technology, Warsaw University of Technology, Nowowiejska 15/19, 00-665, Warsaw, Poland

    Władysław Skarbek

Authors
  1. Władysław Skarbek
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Editor information

Editors and Affiliations

  1. University of Warsaw and Infobright Inc., Poland

    Dominik Ślȩzak

  2. Department of Computer Science, Loughborough University, Loughborough, U.K.

    Gerald Schaefer

  3. Computer Science Department, University of British Columbia, 2366 Main Mall, P.O. Box, Vancouver, B.C., Canada

    Son T. Vuong

  4. Department of Information & Communication Engineering, Inha University, Korea

    Yoo-Sung Kim

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© 2014 Springer International Publishing Switzerland

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Skarbek, W. (2014). Shape from Motion Revisited. In: Ślȩzak, D., Schaefer, G., Vuong, S.T., Kim, YS. (eds) Active Media Technology. AMT 2014. Lecture Notes in Computer Science, vol 8610. Springer, Cham. https://doi.org/10.1007/978-3-319-09912-5_32

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  • DOI: https://doi.org/10.1007/978-3-319-09912-5_32

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-09911-8

  • Online ISBN: 978-3-319-09912-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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