Manifold T-Spline

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Manifold T-Spline
This paper develops the manifold T-splines, which naturally extend the concept and the currently available algorithms/techniques of the popular planar tensor-product NURBS and T-splines to arbitrary manifold domain of any topological type. The key idea is the global conformal parameterization that intuitively induces a tensor-product structure with a finite number of zero points, and hence offering a natural mechanism for generalizing the tensor-product splines throughout the entire manifold. In our shape modeling framework, the manifold T-splines are globally well-defined except at a finite number of extraordinary points, without the need of any tedious trimming and patching work. We present an efficient algorithm to convert triangular meshes to manifold T-splines. Because of the natural, built-in hierarchy of T-splines, we can easily reconstruct a manifold T-spline surface of high-quality with LOD control and hierarchical structure.
Ying He 0001, Kexiang Wang, Hongyu Wang, Xianfeng
Added 11 Jun 2010
Updated 11 Jun 2010
Type Conference
Year 2006
Where GMP
Authors Ying He 0001, Kexiang Wang, Hongyu Wang, Xianfeng Gu, Hong Qin
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