Title
A General Sixth Order Geometric Flow and Its Applications in Surface Processing
Abstract
A general formulation of sixth order geometric flows is proposed in this paper. These geometric flows are obtained by complete variation of a general third order geometric energy functional by means of the gradient descent flow approach under the usual L^2 inner product. We solve these geometric flows by the generalized finite difference method. Comparative experiments and results between lower order flows and sixth order flows are presented. We also display the distinct effects of geometric flows induced from different density functions. Using a sixth order geometric flow and several lower order flows, we solve a surface fairing problem and obtain an aesthetic and pleasing surface.
Year
DOI
Venue
2007
10.1109/CW.2007.6
International Conference on Cyberworlds
Field
DocType
Volume
Surface reconstruction,Gradient descent,Geometric flow,Mathematical analysis,Computational geometry,Third order,Flow (psychology),Finite difference method,Energy functional,Mathematics
Conference
null
Issue
ISBN
Citations 
null
0-7695-3005-2
0
PageRank 
References 
Authors
0.34
15
3
Name
Order
Citations
PageRank
Qin Zhang17620.01
Guoliang Xu2144.25
Jie Sun300.34