Manifold T-spline
Ying He, Kexiang Wang, Hongyu Wang, Xianfeng Gu and Hong Qin
Proceedings of Geometric Modeling and Processing 2006
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 structure 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.