piecewise surface flattening for non-distorted texture mapping
This paper introduces new techniques for interactive piecewise flattening of parametric 3-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 differential 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 first step towards an efficient and robust CAD tool for shoe modeling.
piecewise surface flattening surface texture mapping paper interaction parametric differential geometry geometry geodesic curvature preservation point applications examples efficiency robust tool model non distorted texture mapping