| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4638297 | Journal of Computational and Applied Mathematics | 2015 | 9 Pages |
Abstract
Piecewise biquadratic B-Spline surface satisfying biharmonic condition is studied in this paper. By applying biharmonic PDE, biquadratic B-Spline surface is fully determined by boundary control vertices. A linear system for solving inner control vertices is established. Its coefficient matrix is block tridiagonal and the proof of non-singularity of coefficient matrix is presented under the condition that all knots do not coincide with each other. A few examples are given to show the effectiveness of piecewise biharmonic biquadratic B-Spline surface. An interpolation method on given boundary points is presented if boundary curves are open.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Xuli Han, Jing Han,