Savarese, Silvio and Perona, Pietro (2001) Local Analysis for 3D Reconstruction of Specular Surfaces. In: Computer Vision and Pattern Recognition, 2001. IEEE Computer Society Conference on Computer Vision and Pattern Recognition Proceedings. IEEE Computer Society , Los Alamitos, CA, pp. 738-745. ISBN 0-7695-1272-0. https://resolver.caltech.edu/CaltechAUTHORS:20111118-140610844
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Abstract
We explore the geometry linking the shape of a curved mirror surface to the distortions it produces on a scene it reflects. Our analysis is local and differential. We assume a simple calibrated scene composed of lines passing through a point. We demonstrate that local information about the geometry of the surface may be recovered up to the second order from either the orientation and curvature of the images of two intersecting lines, or from the orientation of the images of three or more intersecting lines. An explicit solution for calculating shape and position of spherical mirror surfaces is given.
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| Additional Information: | © 2001 IEEE. Date of Current Version: 15 April 2003. This work is supported by the NSF Engineering Research Center for Neuromorphic Systems Engineering (CNSE) at Caltech (EEC-9402726). We wish to thank Gabriel Taubin, Jean Ponce and Marzia Polito for helpful feedback and comments. We also wish to thank Matthew Cook and Massimo Franceschetti for many fruitful discussions as well as Rob Fergus for the review of the manuscript. | |||||||||
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| Series Name: | IEEE Computer Society Conference on Computer Vision and Pattern Recognition Proceedings | |||||||||
| DOI: | 10.1109/CVPR.2001.991038 | |||||||||
| Record Number: | CaltechAUTHORS:20111118-140610844 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20111118-140610844 | |||||||||
| Official Citation: | Savarese, S.; Perona, P.; , "Local analysis for 3D reconstruction of specular surfaces," Computer Vision and Pattern Recognition, 2001. CVPR 2001. Proceedings of the 2001 IEEE Computer Society Conference on , vol.2, no., pp. II-738- II-745 vol.2, 2001 doi: 10.1109/CVPR.2001.991038 URL: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=991038&isnumber=21365 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 27866 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Ruth Sustaita | |||||||||
| Deposited On: | 21 Nov 2011 15:58 | |||||||||
| Last Modified: | 09 Nov 2021 16:52 |
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