| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4637940 | Journal of Computational and Applied Mathematics | 2016 | 11 Pages |
Abstract
We state and prove the sufficient and necessary condition for a mapping to be a scaled MPH-preserving mapping which preserves the MPH property of a curve with rescaling the speed by a rational function in R2,1R2,1, and show how to produce polynomial scaled MPH-preserving mappings from given generating polynomials. We introduce s-cubic MPH-preserving mappings of the first kind, and their corresponding surfaces. We show that these mappings can be used to solve interpolation problems for C1C1 Hermite data-sets with admissible velocity vectors on their corresponding surfaces.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Jae Hoon Kong, Sunhong Lee, Gwangil Kim,