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Isometric Texture Mapping for Free-Form Surfaces

Arad, Nur; Elber, Gershon


Keyword(s): : texture mapping, image warping, isometries, distance preserving, developable surfaces

Abstract: Texture mapping is a frequently exploited technique in computer graphics aimed at the emulation of high-resolution details in surfaces. In this paper we present a distance-ratios preservation method for bivariate raster texture mapping to free-form surfaces in an arbitrarily precise manner. The proposed method reduces the original general problem of computing the inverse of a three-dimensional parametric surface mapping into a problem of two-dimensional image warping. Several examples that may demonstrate the proposed approach are also provided.

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