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Minkowski Pythagorean-hodograph preserving mappings
- Kong, Jae Hoon;
- Lee, Sunhong;
- Kim, Gwangil
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8초록
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.
키워드
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; C-1 HERMITE INTERPOLATION; PH CURVES
- 제목
- Minkowski Pythagorean-hodograph preserving mappings
- 저자
- Kong, Jae Hoon; Lee, Sunhong; Kim, Gwangil
- 발행일
- 2016-12-15
- 유형
- Article
- 권
- 308
- 페이지
- 166 ~ 176