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Photometric Stereo with Only Two Images: A Theoretical Study and Numerical Resolution

Quéau, Yvain and Mecca, Roberto and Durou, Jean-Denis and Descombes, Xavier Photometric Stereo with Only Two Images: A Theoretical Study and Numerical Resolution. (2017) Image and Vision Computing, 57. 175-191. ISSN 0262-8856

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Official URL: https://doi.org/10.1016/j.imavis.2016.11.006

Abstract

This work tackles the problem of two-image photometric stereo. This problem constitutes the intermediate case between conventional photometric stereo with at least three images, which is well-posed, and shape-from-shading, which is ill-posed. We first provide a theoretical study of ambiguities arising in this intermediate case. Based on this study, we show that when the albedo is known, disambiguation can be formulated as a binary labeling problem, using integrability and a nonstationary Ising model. The resulting optimization problem is solved efficiently by resorting to the graph cut algorithm. These theoretical and numerical contributions are eventually validated in an application to three-image photometric stereo with shadows.

Item Type:Article
Additional Information:Thanks to Elsevier editor. The definitive version is available at: http://www.sciencedirect.com The original PDF of the article can be found at : https://www.sciencedirect.com/science/article/pii/S0262885616301962
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - INPT (FRANCE)
French research institutions > Institut National de la Recherche en Informatique et en Automatique - INRIA (FRANCE)
Other partners > Technische Universität München - TUM (GERMANY)
Other partners > Università di Bologna (ITALY)
Other partners > University of Cambridge (UNITED KINGDOM)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UPS (FRANCE)
Université de Toulouse > Université Toulouse - Jean Jaurès - UT2J (FRANCE)
Université de Toulouse > Université Toulouse 1 Capitole - UT1 (FRANCE)
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Deposited By: IRIT IRIT
Deposited On:19 Jan 2018 10:40

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