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Minkowski Pythagorean-hodograph preserving mappingsopen access
- Authors
- Kong, Jae Hoon; Lee, Sunhong; Kim, Gwangil
- Issue Date
- 15-Dec-2016
- Publisher
- ELSEVIER SCIENCE BV
- Keywords
- Minkowski Pythagorean-hodograph curve; MPH-preserving mapping; s-cubic MPH-preserving mapping of the first kind; C-1 Hermite data-set; C-1 Hermite interpolation
- Citation
- JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, v.308, pp 166 - 176
- Pages
- 11
- Indexed
- SCI
SCIE
SCOPUS
- Journal Title
- JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
- Volume
- 308
- Start Page
- 166
- End Page
- 176
- ISSN
- 0377-0427
1879-1778
- 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 R-2,R-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 C-1 Hermite data-sets with admissible velocity vectors on their corresponding surfaces. (C) 2016 Elsevier B.V. All rights reserved.
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