11 citations · 15 across the 7 of their papers we have counts for
7 papers
A Neural Network Framework for Geodesic-Like Curve Computation on Parametric Surfaces
Sheng-Gwo Chen, Chen-Chang Peng
The concept of geodesic-like curves was introduced by Chen in 2010 as a method for estimating shortest paths (geodesics) on parametric surfaces, with its convergence established th…
High-order algorithms for solving eigenproblems over discrete surfaces
Sheng-Gwo Chen, Mei-Hsiu Chi, Jyh-Yang Wu
The eigenvalue problem of the Laplace-Beltrami operators on curved surfaces plays an essential role in the convergence analysis of the numerical simulations of some important geome…
Discrete Conservation Law on Curved Surfaces
Sheng-Gwo Chen, Jyh-Yang Wu
In this paper we shall introduce a simple, effective numerical method for finding differential operators for scalar and vector-valued functions on surfaces. The key idea of our alg…
Computation of the shortest path between two curves on a parametric surface by geodesic-like method
Wen-Haw Chen, Sheng-Gwo Chen
In this paper, we present the geodesic-like algorithm for the computation of the shortest path between two objects on NURBS surfaces and periodic surfaces. This method can improve…
Convergent discrete Laplace-Beltrami operators over surfaces
Jyh-Yang Wu, Mei-Hsiu Chi, Sheng-Gwo Chen
The convergence problem of the Laplace-Beltrami operators plays an essential role in the convergence analysis of the numerical simulations of some important geometric partial diffe…
A new intrinsic numerical method for PDE on surfaces
Sheng-Gwo Chen, Mei-Hsiu Chi, Jyh-Yang Wu
In this note we shall introduce a simple, effective numerical method for solving partial differential equations for scalar and vector-valued data defined on surfaces. Even though w…
A simple effective method for curvatures estimation on triangular meshes
Jyh-Yang Wu, Sheng-Gwo Chen, Mei-Hsiu Chi
To definite and compute differential invariants, like curvatures, for triangular meshes (or polyhedral surfaces) is a key problem in CAGD and the computer vision. The Gaussian curv…