Photometric stereo with only two images: A theoretical study and numerical resolution

作者：

Highlights：

• We provide a theoretical study of ambiguities arising in two-image photometric stereo.

• Disambiguation is formulated as a binary labeling problem, using integrability and a nonstationary Ising model.

• Resolution is achieved efficiently by resorting to the graph cut algorithm.

• An application to three-image photometric stereo with shadows is presented.

摘要

•We provide a theoretical study of ambiguities arising in two-image photometric stereo.•Disambiguation is formulated as a binary labeling problem, using integrability and a nonstationary Ising model.•Resolution is achieved efficiently by resorting to the graph cut algorithm.•An application to three-image photometric stereo with shadows is presented.

论文关键词：3D-reconstruction,Shape-from-shading,Photometric stereo,PDEs,Numerical analysis,Optimization,Graph cut

论文评审过程：Received 10 July 2015, Revised 13 June 2016, Accepted 15 November 2016, Available online 23 November 2016, Version of Record 6 January 2017.

论文官网地址：https://doi.org/10.1016/j.imavis.2016.11.006