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Photometric Stereo with Only Two Images: A Theoretical Study and Numerical Resolution
Abstract
International audienceThis 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- info:eu-repo/semantics/article
- Journal articles
- 3D-reconstruction
- PDEs
- photometric stereo
- shape-from-shading
- optimization
- graph cut
- numerical analysis
- [INFO.INFO-CV]Computer Science [cs]/Computer Vision and Pattern Recognition [cs.CV]
- [INFO.INFO-TI]Computer Science [cs]/Image Processing [eess.IV]
- [INFO.INFO-TS]Computer Science [cs]/Signal and Image Processing