@inproceedings{7103bacb28774bd88a1a5a6d16be34de,
title = "Shape from specular flow with near-field environment motion field",
abstract = "Reconstruction of curved, mirror-like surfaces in unknown lighting environments is a challenging problem. One well-known solution is the {\textquoteleft}shape from specular flow{\textquoteright} approach, which assumes far-field environment illumination. The assumption makes it impractical for the case of near-field environment. We show that with the presence of unknown nearby objects, the observed specular flow can be related to the surface shape and the environment motion through a group of nonlinear partial differential equations. This PDE system can be converted into a canonical form of hyperbolic equation. Stable, unique solution of such equation exists when the Cauchy boundary condition is given. Numerical methods are implemented to solve the PDE system for the case of translating near-field environment motions. Both the curved surface and the near-field environment are recovered. Experiments on both real and synthetic data support the proposed method.",
keywords = "Optical flow, Partial differential equation, Shape from shading, Specular surfaces",
author = "Hongsong Li and Ting Song and Zehuan Wu and Jiandong Ma and Gangyi Ding",
note = "Publisher Copyright: {\textcopyright} Springer International Publishing Switzerland 2014.; 10th International Symposium on Visual Computing, ISVC 2014 ; Conference date: 08-12-2014 Through 10-12-2014",
year = "2014",
doi = "10.1007/978-3-319-14249-4_35",
language = "English",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
publisher = "Springer Verlag",
pages = "367--378",
editor = "George Bebis and Richard Boyle and Bahram Parvin and Darko Koracin and Ryan McMahan and Jason Jerald and Hui Zhang and Drucker, {Steven M.} and Kambhamettu Chandra and Maha, {El Choubassi} and Zhigang Deng and Mark Carlson",
booktitle = "Advances in Visual Computing - 10th International Symposium, ISVC 2014, Proceedings",
address = "Germany",
}