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A multiple B-Spline representation for progressive 3D mesh compression
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A physically based method for triangulated surface flattening
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ACM Transactions on Graphics (TOG)
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We propose a fast and simple method for generating a low-stretchmesh parameterization. Given a triangle mesh, we startfrom the Floater shape preserving parameterization and then improvethe parameterization gradually. At each improvement step,we optimize the parameterization generated at the previous stepby minimizing a weighted quadratic energy where the weights arechosen in order to minimize the parameterization stretch. This optimizationprocedure does not generate triangle flips if the boundaryof the parameter domain is a convex polygon. Moreover alreadythe first optimization step produces a high-quality mesh parameterization.We compare our parameterization procedure withseveral state-of-art mesh parameterization methods and demonstrateits speed and high efficiency in parameterizing large andgeometrically complex models.