G1 surface modelling using fourth order geometric flows

被引：13

作者：

Xu, GL ^{[1
]}

Pan, Q ^{[1
]}

机构：

[1] Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, State Key Lab Sci & Engn Comp, Beijing 100080, Peoples R China

来源：

COMPUTER-AIDED DESIGN | 2006年 / 38卷 / 04期

基金：

中国国家自然科学基金;

关键词：

geometric PDEs; surface blending; N-sided hole filling; free-form surface fitting; mixed finite element method;

D O I：

10.1016/j.cad.2005.11.002

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

We use three fourth order geometric partial differential equations to efficiently solve several surface modelling problems, including surface blending, N-sided hole filling and free-form Surface fitting with the G(1) boundary continuity. The non-linear equations we use include the surface diffusion flow, the quasi surface diffusion flow and the Willmore flow. These non-linear equations are discretized using a mixed finite element method based on a combination of the Loop's basis and the linear basis. The proposed approach is simple, efficient and gives very desirable results. (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：392 / 403

页数：12

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