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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