Paper Info
Title
A deformable model of soap film considering physical properties
Abstract
Modeling of the soap film for a given boundary curve, called Plateau's problem, is identical with constructing the surface of minimal area. Since mathematicians have dealt with this topic in 19th century, two methods have been widely used to solve the minimal surface problem. The first algorithm originated with solving the linear Dirichlet problem in [Pinkall and Polthier 1993], and another approach in [M. Desbrun 1999] was to evolve the surface via mean curvature flow. In order to describe the deformation of soap film based on dynamics, however, it is required to consider its physical properties as well as geometric properties. In this paper, we propose a physics-based model for the deformation of soap film through discrete differential geometry. It shows robust results for given boundaries as inputs.
Year
DOI
Venue
2009
10.1145/1666778.1666790
SIGGRAPH Asia 2013 Posters
Keywords
Field
DocType
deformable model,minimal area,minimal surface problem,physical property,mean curvature flow,boundary curve,discrete differential geometry,m. desbrun,soap film,geometric property,linear dirichlet problem,deformation,physical properties,minimal surface
Discrete differential geometry,Computer graphics (images),Dirichlet problem,Mean curvature flow,Mathematical analysis,Computer science,Soap film,Deformation (mechanics),Geometry,Minimal surface
Conference
Citations 
PageRank 
References 
0
0.34
2
Authors
6
Name
Order
Citations
PageRank
Min ki Park1313.94
Hyun Soo Kim226632.04
Han Kyun Choi3402.67
Seung Joo Lee4184.43
Kwang Hee Ko58115.60
Kwan H. Lee614829.48