SIAM Journal on Computing
Parametrization and smooth approximation of surface triangulations
Computer Aided Geometric Design
How to morph tilings injectively
Journal of Computational and Applied Mathematics
Texture mapping progressive meshes
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Numerical Recipes in C: The Art of Scientific Computing
Numerical Recipes in C: The Art of Scientific Computing
Generalized barycentric coordinates on irregular polygons
Journal of Graphics Tools
Computer Aided Geometric Design
Proceedings of the Eurographic workshop on Computer animation and simulation
GMP '00 Proceedings of the Geometric Modeling and Processing 2000
ACM SIGGRAPH 2004 Papers
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In this paper, we introduce a new piecewise linear parameterization of 3D surface patches which provides a basis for texture mapping, morphing, remeshing, and geometry imaging. To lower distortion when flatting a 3D surface patch, we propose a new method to locally calculate straightest distances with cutting planes. Our new and simple technique demonstrates competitive results to the current leading parameterizations and will help many applications that require one-to-one mapping.