✦ LIBER ✦
Minimal-energy splines: I. Plane curves with angle constraints
✍ Scribed by Emery D. Jou; Weimin Han
- Publisher
- John Wiley and Sons
- Year
- 1990
- Tongue
- English
- Weight
- 726 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0170-4214
No coin nor oath required. For personal study only.
✦ Synopsis
Abstract
This is the first in a series of papers on minimal‐energy splines. The paper is devoted to plane minimal‐energy splines with angle constraints. We first consider minimal‐energy spline segments, then general minimal‐energy spline curves. We formulate problems for minimal‐energy spline segments and curves, prove the existence of solutions, justify the Lagrange multiplier rules, and obtain some nice properties (e.g., the infinite smoothness). Finally, we report our computational experience on minimal‐energy splines.