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- 학술저널
- 저자정보
- 저널정보
- 한국산업응용수학회 JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS Journal of the Korean Society for Industrial and Applied Mathematics Vol.28 No.2
- 발행연도
- 2024.6
- 수록면
- 59 - 70 (12page)
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초록· 키워드
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In this paper we present the approximation method of the circular helix by G² cubic polynomial curves. The approximants are G¹ Hermite interpolation of the circular helix and their approximation order is four. We obtain numerical examples to illustrate the geometric continuity and the approximation order of the approximants. The method presented in this paper can be extended to approximating the elliptical helix. Using the property of affine transformation invariance we show that the approximant has G² continuity and the approximation order four. The numerical examples are also presented to illustrate our assertions.
목차
ABSTRACT
1. INTRODUCTION
2. PRELIMINARIES
3. APPROXIMATION OF CIRCULAR HELIX BY G² CUBIC POLYNOMIAL CURVE
4. APPROXIMATION OF ELLIPTICAL HELIX BY G² CUBIC POLYNOMIAL CURVE
5. CONCLUSION
REFERENCES
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