Piecewise Surface Flattening for Non - Distorted

Abstract

This paper introduces new techniques for interactive piecewise at-tening of parametric3-D surfaces, leading to a non-distorted,hence realistic, texture mapping. Cuts are allowed on the mapped texture and we make a compromise between discontinuities and distortions. These techniques are based on results from diierential geometry, more precisely on the notion of \geodesic curvature": isoparametric curves of the surface are mapped, in a constructive way, onto curves in the texture plane with preservation of geodesic curvature at each point. As an application, we give a concrete example which is a rst step towards an eecient and robust CAD tool for shoe modeling.

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Cite this paper

@inproceedings{Bennis1991PiecewiseSF, title={Piecewise Surface Flattening for Non - Distorted}, author={Chakib Bennis}, year={1991} }