Title :
Computing Discrete Minimal Surfaces Using a Nonlinear Spring Model
Author :
Jiang, Yongquan ; Chen, Li ; Chen, Qishu ; Peng, Qiang ; Chen, Jim X.
Author_Institution :
Sch. of Inf. Sci. & Technol., Southwest Jiaotong Univ., Chengdu, China
Abstract :
A new algorithm can derive one or more minimal surfaces from an initial arbitrary surface with a fixed boundary. A discrete surface is a mesh represented as a set of vertices in 3D. The method extends earlier work, which used linear elastic springs to simulate a spider web animated in 3D.
Keywords :
minimisation; solid modelling; surface fitting; discrete minimal surface computing; fixed boundary; linear elastic springs; nonlinear spring model; spider web animation; Algorithms; Computational modeling; Equations; Mathematical model; Nonlinear systems; Surface treatment; Discrete minimal surface; degenerated triangles; mean curvature normal; nonlinear spring model;
Journal_Title :
Computing in Science & Engineering
DOI :
10.1109/MCSE.2010.127
