In this paper, we propose a general framework for approximating differential operator directly on point clouds and use it for geometric understanding on them. The discrete approxi...
We give a provably correct algorithm to reconstruct a kdimensional manifold embedded in d-dimensional Euclidean space. Input to our algorithm is a point sample coming from an unkn...
eleton is a very useful 1D structure to abstract the geometry and topology of a 3D object. Extraction of curve-skeletons is a fundamental problem in computer graphics, visualizatio...
Oscar Kin-Chung Au, Chiew-Lan Tai, Hung-Kuo Chu, D...
Given a collection C of circles in the plane, we wish to construct the arrangement A(C) (namely the subdivision of the plane into vertices, edges and faces induced by C) using fl...
—Designing rotational symmetry fields on surfaces is an important task for a wide range of graphics applications. This work introduces a rigorous and practical approach for auto...
Yu-Kun Lai, Miao Jin, Xuexiang Xie, Ying He 0001, ...