Name
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. |
Year | DOI | Venue |
|---|---|---|
2015 | 10.1016/j.cam.2015.05.025 | Journal of Computational and Applied Mathematics |
Keywords | Field | DocType |
Biharmonic,Biquadratic B-Spline,Block tridiagonal matrix,Non-singularity | Tridiagonal matrix,Spline (mathematics),Mathematical optimization,Coefficient matrix,Vertex (geometry),Mathematical analysis,Interpolation,Biharmonic Bézier surface,Biharmonic equation,Piecewise,Mathematics | Journal |
Volume | Issue | ISSN |
290 | C | 0377-0427 |
Citations | PageRank | References |
0 | 0.34 | 10 |
Authors | ||
2 | ||