Journal article
Minimal‐energy splines: I. Plane curves with angle constraints
Mathematical Methods in the Applied Sciences, Vol.13(4), pp.351-372
10/1990
DOI: 10.1002/mma.1670130407
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.
Details
- Title: Subtitle
- Minimal‐energy splines: I. Plane curves with angle constraints
- Creators
- Emery D JouWeimin Han
- Resource Type
- Journal article
- Publication Details
- Mathematical Methods in the Applied Sciences, Vol.13(4), pp.351-372
- Publisher
- John Wiley & Sons, Ltd; Stuttgart
- DOI
- 10.1002/mma.1670130407
- ISSN
- 0170-4214
- eISSN
- 1099-1476
- Number of pages
- 22
- Language
- English
- Date published
- 10/1990
- Academic Unit
- Mathematics
- Record Identifier
- 9983985836602771
Metrics
11 Record Views