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

Yvain Quéau 1, 2 Roberto Mecca 3, 4 Jean-Denis Durou 2 Xavier Descombes 5, 6
2 IRIT-REVA - Real Expression Artificial Life
IRIT - Institut de recherche en informatique de Toulouse
6 MORPHEME - Morphologie et Images
CRISAM - Inria Sophia Antipolis - Méditerranée , IBV - Institut de Biologie Valrose : U1091, Laboratoire I3S - SIS - Signal, Images et Systèmes
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 labelling 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.
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Submitted on : Friday, November 18, 2016 - 4:16:03 PM
Last modification on : Thursday, March 18, 2021 - 2:29:25 PM
Long-term archiving on: : Monday, March 20, 2017 - 5:54:42 PM

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Yvain Quéau, Roberto Mecca, Jean-Denis Durou, Xavier Descombes. Photometric Stereo with Only Two Images: A Theoretical Study and Numerical Resolution. Image and Vision Computing, Elsevier, 2017, pp.175--191. ⟨10.1016/j.imavis.2016.11.006⟩. ⟨hal-01334657v2⟩

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