Error bounded piecewise linear approximation of freeform surfaces
β Scribed by Gershon Elber
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 776 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0010-4485
No coin nor oath required. For personal study only.
β¦ Synopsis
Two methods for piecewise linear approximation of freeform surfaces are presented. One scheme exploits an intermediate bilinear approximation and the other employs global curvature bounds. Both methods attempt to adaptively create piecewise linear approximations of the surfaces, employing the maximum norm.
π SIMILAR VOLUMES
We consider particular types of discrete approximations to tensor fields on manifolds suggested by triangulations. The approximations are objects of finite geometrical extent, parameterized by a finite set of numbers, so they are suitable for numerical computations. We study the limiting behaviour o
## Abstract This paper proposes a generalized pointwise bias error bounds estimation method for polynomialβbased response surface approximations when bias errors are substantial. A relaxation parameter is introduced to account for inconsistencies between the data and the assumed true model. The met