Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
439968 | Computer-Aided Design | 2006 | 12 Pages |
Abstract
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 G1 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.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Graphics and Computer-Aided Design
Authors
Guoliang Xu, Qing Pan,