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Free-Form Mirror Design Inspired by Photometric Stereo

Abstract : A significant issue in the design of catadioptric imaging sys- tems is what shape the component mirrors should take. In this paper, we propose a novel algorithm for designing a free-form mirror. A free-form mirror expressed as the assembly of its gradients, is the most flexible surface representation that can form various shapes. We improve the shape reconstruction framework used in a photometric stereo scheme for use in the design of free-form mirrors for catadioptric imaging systems. An optimal mirror shape is created to produce the best possible desired projection, under integrability conditions in order to be a consistent surface. Curved mirrors are designed for various catadioptric configurations and these design experiments confirm that the resulting free-form mirrors can approximate the desired projections.
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https://hal.inria.fr/inria-00325319
Contributor : Peter Sturm <>
Submitted on : Sunday, September 28, 2008 - 9:42:06 PM
Last modification on : Monday, September 29, 2008 - 9:27:44 AM
Long-term archiving on: : Friday, June 4, 2010 - 11:52:25 AM

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  • HAL Id : inria-00325319, version 1

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Kazuaki Kondo, Yasuhiro Mukaigawa, Yasushi Yagi. Free-Form Mirror Design Inspired by Photometric Stereo. The 8th Workshop on Omnidirectional Vision, Camera Networks and Non-classical Cameras - OMNIVIS, Rahul Swaminathan and Vincenzo Caglioti and Antonis Argyros, Oct 2008, Marseille, France. ⟨inria-00325319⟩

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