Geometric Construction of the Caustic Curves for Catadioptric Sensors (WP-P6)

Author(s) : Siohoi Ieng (Laboratory of Instruments and Systems of Ile de France (LISIF)/ Laboratory of Complex Systems Control, Analysis and Communication (LACCSC) - ECE, France) Ryad Benosman (Laboratory of Instruments and Systems of Ile de France, France)

Abstract : Most of the catadioptric cameras rely on the single viewpoint constraint that is hardly fullfilled. There exists many works on non single viewpoint catadioptric sensors satisfying specific resolutions. In such configurations, the computation of the caustic curve becomes essential if precision and flexibility are aimed. Existing solutions are unfortunaltly too specific to a class of curves and need cumbersome precomputations. This paper presents a flexible geometric construction of the caustic curve of a catadioptric sensor that can be applied in the 2D and 3D case. The method holds for unspecified mirror shapes under smoothness asumption. Tests and experimental results substantiate the possibilities of the approach.

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