Spherical parametrization and remeshing
ACM SIGGRAPH 2003 Papers
Fundamentals of spherical parameterization for 3D meshes
ACM SIGGRAPH 2003 Papers
Anisotropic polygonal remeshing
ACM SIGGRAPH 2003 Papers
On the meshing of trimmed 3D surfaces
Advances in Engineering Software
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This paper presents an efficient method for approximating curves and surfaces. An idea is introduced using a circle, where an arc-intersecting polyline is used instead of the traditional inner-arc polyline. The approach is then generalized to arbitrary 2D curves. The method is extended into 3D, where the approximation of spherical surface is developed based on surface-intersecting facets. Finally, a method is described for approximating the general curved surface. Theoretical analysis and the experimental results showed that the new algorithm requires considerably less geometric data at the same approximation error than the traditional one.