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International Conference on Computer Vision and Graphics

ICCVG 2018: Computer Vision and Graphics pp 234–247Cite as

Second-Order Algebraic Surfaces and Two Image Photometric Stereo

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Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 11114))

Abstract

This paper discusses the special case of reconstructing the unknown Lambertian surface from two-image photometric stereo. Both images are assumed here to be formed by a genuine second-order algebraic surface. The corresponding uniqueness issue is discussed for different pairs of image irradiance equations under various illumination settings. Illustrative examples supplement presented analysis and demonstrate its main gist.

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Author information

Authors and Affiliations

  1. Faculty of Applied Informatics and Mathematics, Warsaw University of Life Sciences - SGGW, ul. Nowoursynowska 159, 02-776, Warsaw, Poland

    Ryszard Kozera & Alexander Prokopenya

  2. Department of Computer Science and Software Engineering, The University of Western Australia, 35 Stirling Highway, Crawley, Perth, WA, 6009, Australia

    Ryszard Kozera

Authors
  1. Ryszard Kozera
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  2. Alexander Prokopenya
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Corresponding author

Correspondence to Ryszard Kozera .

Editor information

Editors and Affiliations

  1. Faculty of Applied Informatics and Mathematics, Warsaw University of Life Sciences, Warsaw, Poland

    Leszek J. Chmielewski

  2. Faculty of Applied Informatics and Mathematics, Warsaw University of Life Sciences, Warsaw, Poland

    Ryszard Kozera

  3. Faculty of Applied Informatics and Mathematics, Warsaw University of Life Sciences, Warsaw, Poland

    Arkadiusz Orłowski

  4. Institute of Computer Science, Silesian University of Technology, Gliwice, Poland

    Konrad Wojciechowski

  5. Technion, Israel Institute of Technology, Haifa, Israel

    Alfred M. Bruckstein

  6. University of Groningen, Groningen, The Netherlands

    Nicolai Petkov

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Kozera, R., Prokopenya, A. (2018). Second-Order Algebraic Surfaces and Two Image Photometric Stereo. In: Chmielewski, L., Kozera, R., Orłowski, A., Wojciechowski, K., Bruckstein, A., Petkov, N. (eds) Computer Vision and Graphics. ICCVG 2018. Lecture Notes in Computer Science(), vol 11114. Springer, Cham. https://doi.org/10.1007/978-3-030-00692-1_21

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  • DOI: https://doi.org/10.1007/978-3-030-00692-1_21

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-00691-4

  • Online ISBN: 978-3-030-00692-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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