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Toward a Theory of Shape from Specular Flow
Rio de Janeiro, Brazil October 14-October 21
DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/ICCV.2007.44088832007 IEEE 11th International Conferen ...
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Yair Adato, Computer Science Department, Ben-Gurion University, Beer Sheva, Israel. adato@cs.bgu.ac.il
Yuriy Vasilyev, Harvard School of Engineering and Applied Sciences, Cambridge, USA. vasilyev@fas.harvard.edu
Ohad Ben-Shahar, Computer Science Department, Ben-Gurion University, Beer Sheva, Israel. ben-shahar@cs.bgu.ac.il
Todd Zickler, Harvard School of Engineering and Applied Sciences, Cambridge, USA. zickler@seas.harvard.edu
The image of a curved, specular (mirror-like) surface is a distorted reflection of the environment. The goal of our work is to develop a framework for recovering general shape from such distortions when the environment is neither calibrated nor known. To achieve this goal we consider far-field illumination, where the object-environment distance is relatively large, and we examine the dense specular flow that is induced on the image plane through relative object-environment motion. We show that under these very practical conditions the observed specular flow can be related to surface shape through a pair of coupled nonlinear partial differential equations. Importantly, this relationship depends only on the environment's relative motion and not its content. We examine the qualitative properties of these equations, present analytic methods for recovery of the shape in several special cases, and empirically validate our results using captured data. We also discuss the relevance to both computer vision and human perception.
Citation:
Yair Adato, Yuriy Vasilyev, Ohad Ben-Shahar, Todd Zickler, "Toward a Theory of Shape from Specular Flow," iccv, pp.1-8, 2007 IEEE 11th International Conference on Computer Vision, 2007
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