Photometric stereo with only two images: A theoretical study and numerical resolution
Accepted version
Peer-reviewed
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Authors
Quéau, Y
Mecca, R
Durou, J-D
Descombes, X
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.
Description
Keywords
3D-reconstruction, shape-from-shading, photometric stereo, PDEs, numerical analysis, optimization, graph cut
Journal Title
Image and Vision Computing
Conference Name
Journal ISSN
0262-8856
Volume Title
57
Publisher
Elsevier
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Sponsorship
Roberto Mecca was a Marie Curie Fellow of the Instituto Nazionale di Alta Matematica