Savarese, Silvio and Perona, Pietro (2002) Local Analysis for 3D Reconstruction of Specular Surfaces - Part II. In: Computer Vision - ECCV 2002. Lecture Notes in Computer Science. Vol.2. No.2351. Springer , Berlin, pp. 759-774. ISBN 978-3-540-43744-4. https://resolver.caltech.edu/CaltechAUTHORS:20140730-101720081
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Abstract
We analyze the problem of recovering the shape of a mirror surface. We generalize the results of [1], where the special case of planar and spherical mirror surfaces was considered, extending that analysis to any smooth surface. A calibrated scene composed of lines passing through a point is assumed. The lines are reflected by the mirror surface onto the image plane of a calibrated camera, where the intersection and orientation of such reflections are measured. The relationship between the local geometry of the surface around the point of reflection and the measurements is analyzed. We give necessary and sufficient conditions, as well as a practical algorithm, for recovering first order local information (positions and normals) when three intersecting lines are visible. A small number of ‘ghost solutions’ may arise. Second order surface geometry may also be obtained up to one unknown parameter. Experimental results with real mirror surfaces are presented.
| Item Type: | Book Section | |||||||||
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| Additional Information: | © Springer-Verlag Berlin Heidelberg 2002. This work is supported by the NSF Engineering Research Center for Neuromorphic Systems Engineering (CNSE) at Caltech (EEC-9402726). We wish to thank Min Chen, Marzia Polito and Fei Fei Li for helpful feedback and comments. | |||||||||
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| Subject Keywords: | Shape recovery, geometry, mirror surfaces Shape recovery geometry mirror surfaces Shape recovery geometry mirror surfaces | |||||||||
| Series Name: | Lecture Notes in Computer Science | |||||||||
| Issue or Number: | 2351 | |||||||||
| DOI: | 10.1007/3-540-47967-8_51 | |||||||||
| Record Number: | CaltechAUTHORS:20140730-101720081 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20140730-101720081 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 47620 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Caroline Murphy | |||||||||
| Deposited On: | 19 Aug 2014 21:24 | |||||||||
| Last Modified: | 10 Nov 2021 17:48 |
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