Second-order algebraic surfaces and two image photometric stereo

Ryszard Kozera; Alexander Prokopenya

doi:10.1007/978-3-030-00692-1_21

Second-order algebraic surfaces and two image photometric stereo

Ryszard Kozera, Alexander Prokopenya

School of Physics, Mathematics and Computing

Research output: Chapter in Book/Conference paper › Conference paper

2 Citations (Scopus)

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.

Original language	English
Title of host publication	Computer Vision and Graphics - International Conference, ICCVG 2018, 2018, Proceedings
Editors	Nicolai Petkov, Konrad Wojciechowski, Leszek J. Chmielewski, Ryszard Kozera, Arkadiusz Orlowski, Alfred M. Bruckstein, Konrad Wojciechowski
Place of Publication	Austria
Publisher	Springer-Verlag Wien
Pages	234-247
Number of pages	14
ISBN (Print)	9783030006914
DOIs	https://doi.org/10.1007/978-3-030-00692-1_21
Publication status	Published - 1 Jan 2018
Event	International Conference on Computer Vision and Graphics, ICCVG 2018 - Warsaw, Poland Duration: 17 Sep 2018 → 19 Sep 2018

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	11114 LNCS
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	International Conference on Computer Vision and Graphics, ICCVG 2018
Country	Poland
City	Warsaw
Period	17/09/18 → 19/09/18

Access to Document

10.1007/978-3-030-00692-1_21

Link to publication in Scopus

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Kozera, R., & Prokopenya, A. (2018). Second-order algebraic surfaces and two image photometric stereo. In N. Petkov, K. Wojciechowski, L. J. Chmielewski, R. Kozera, A. Orlowski, A. M. Bruckstein, & K. Wojciechowski (Eds.), Computer Vision and Graphics - International Conference, ICCVG 2018, 2018, Proceedings (pp. 234-247). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 11114 LNCS). Springer-Verlag Wien. https://doi.org/10.1007/978-3-030-00692-1_21

Kozera, Ryszard ; Prokopenya, Alexander. / Second-order algebraic surfaces and two image photometric stereo. Computer Vision and Graphics - International Conference, ICCVG 2018, 2018, Proceedings. editor / Nicolai Petkov ; Konrad Wojciechowski ; Leszek J. Chmielewski ; Ryszard Kozera ; Arkadiusz Orlowski ; Alfred M. Bruckstein ; Konrad Wojciechowski. Austria : Springer-Verlag Wien, 2018. pp. 234-247 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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keywords = "Photometric stereo, Shape reconstruction, Uniqueness",

author = "Ryszard Kozera and Alexander Prokopenya",

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Kozera, R & Prokopenya, A 2018, Second-order algebraic surfaces and two image photometric stereo. in N Petkov, K Wojciechowski, LJ Chmielewski, R Kozera, A Orlowski, AM Bruckstein & K Wojciechowski (eds), Computer Vision and Graphics - International Conference, ICCVG 2018, 2018, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 11114 LNCS, Springer-Verlag Wien, Austria, pp. 234-247, International Conference on Computer Vision and Graphics, ICCVG 2018, Warsaw, Poland, 17/09/18. https://doi.org/10.1007/978-3-030-00692-1_21

Second-order algebraic surfaces and two image photometric stereo. / Kozera, Ryszard; Prokopenya, Alexander.

Computer Vision and Graphics - International Conference, ICCVG 2018, 2018, Proceedings. ed. / Nicolai Petkov; Konrad Wojciechowski; Leszek J. Chmielewski; Ryszard Kozera; Arkadiusz Orlowski; Alfred M. Bruckstein; Konrad Wojciechowski. Austria : Springer-Verlag Wien, 2018. p. 234-247 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 11114 LNCS).

Research output: Chapter in Book/Conference paper › Conference paper

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AU - Prokopenya, Alexander

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Kozera R, Prokopenya A. Second-order algebraic surfaces and two image photometric stereo. In Petkov N, Wojciechowski K, Chmielewski LJ, Kozera R, Orlowski A, Bruckstein AM, Wojciechowski K, editors, Computer Vision and Graphics - International Conference, ICCVG 2018, 2018, Proceedings. Austria: Springer-Verlag Wien. 2018. p. 234-247. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). https://doi.org/10.1007/978-3-030-00692-1_21