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Three-dimensional surface curvature from binocular stereodisparity

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Abstract

Consider a binocular stereosystem that observes a curved surface patch. Owing to the geometry of the situation, markings on the surface (e.g., texture) will be imaged differently to the two views. An analysis of certain aspects of this situation is presented. More specifically, the analysis concentrates on the relationships between a surface's 3-D curvature and the differentially projected images of its surface markings. The analysis is based on: (i) following surface features as they are subjected to disparate projection, and (ii) establishing the relationships between the resulting disparity and surface curvature.

© 1989 Optical Society of America

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