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.

• Type: Conference
• Year: 2005
• Where: VLSM
• Authors: Ying He 0001, Miao Jin, Xianfeng Gu, Hong Qin
• Keywords: Compact Spline Representation, Computer Vision, Global Spline Scheme, Interpolatory Spline, VLSM 2005