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VLSM
2005
Springer

A C1 Globally Interpolatory Spline of Arbitrary Topology

10 years 8 months ago
A C1 Globally Interpolatory Spline of Arbitrary Topology
Converting point samples and/or triangular meshes to a more compact spline representation for arbitrarily topology is both desirable and necessary for computer vision and computer graphics. This paper presents a C1 manifold interpolatory spline that can exactly pass through all the vertices and interpolate their normals for data input of complicated topological type. Starting from the PowellSabin spline as a building block, we integrate the concepts of global parametrization, affine atlas, and splines defined over local, open domains to arrive at an elegant, easy-to-use spline solution for complicated datasets. The proposed global spline scheme enables the rapid surface reconstruction and facilitates the shape editing and analysis functionality.
Ying He 0001, Miao Jin, Xianfeng Gu, Hong Qin
Added 28 Jun 2010
Updated 28 Jun 2010
Type Conference
Year 2005
Where VLSM
Authors Ying He 0001, Miao Jin, Xianfeng Gu, Hong Qin
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