Sudividing multivariate splines
✍ Scribed by Wolfgang Böhm
- Publisher
- Elsevier Science
- Year
- 1983
- Tongue
- English
- Weight
- 526 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0010-4485
No coin nor oath required. For personal study only.
✦ Synopsis
Four subdivision algorithms for multivariate splines are discussed In a geometrical manner. The proofs given are mostly geometrical also and thus easy to follow. An illustrative example demonstrates the effect of the algorithms to a sample surface.
📜 SIMILAR VOLUMES
We characterize module bases of spline spaces in terms of their determinants, degree sequences, and dimension series. These characterization also provide tests for freeness of the module. Applications are given to the basis and dimension problem for spline spaces.
This work deals with an approximation method for multivariate functions from data constituted by a given data point set and a partial differential equation (PDE). The solution of our problem is called a PDE spline. We establish a variational characterization of the PDE spline and a convergence resul