Plane curves of minimal energy
- 1 September 1986
- journal article
- Published by Association for Computing Machinery (ACM) in ACM Transactions on Mathematical Software
- Vol. 12 (3), 219-222
- https://doi.org/10.1145/7921.7924
Abstract
The problem of finding the plane curve of minimal elastic energy with prescribed endpoints and end-directions was solved in 1983 by B. K. P. Horn. Here the solution is discussed, given a very short proof, and extended to include a constant on length.Keywords
This publication has 2 references indexed in Scilit:
- The Curve of Least EnergyACM Transactions on Mathematical Software, 1983
- Algorithm 577: Algorithms for Incomplete Elliptic Integrals [S21]ACM Transactions on Mathematical Software, 1981