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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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논문 기본 정보
- 자료유형
- 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.15 No.2
- 발행연도
- 2011.6
- 수록면
- 123 - 135 (13page)
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초록· 키워드
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In this paper, we present arc-length estimations for quadratic rational Bezier curves using the length of polygon and distance between both end points. Our arc-length es-timations coincide with the arc-length of the quadratic rational Bezier curve exactly when the weight w is 0, 1 and ∞. We show that for all w ＞ 0 our estimations are strictly increasing with respect to w. Moreover, we find the parameter μ<SUP>*</SUP> which makes our estimation coincide with the arc-length of the quadratic rational Bezier curve when it is a circular arc too. We also show that μ<SUP>*</SUP> has a special limit, which is used for optimal estimation. We present some numerical examples, and the numerical results illustrates that the estimation with the limit value of μ<SUP>*</SUP> is an optimal estimation.
목차
ABSTRACT
1. INTRODUCTION
2. ARC0LENGTH ESTIMATIONS FOR QUADRATIC RATIONAL BEZIER CURVE
3. ARC-LENGTH ESTIMATIONS FOR QUADRATIC RATIONAL BEZIER CURVE COINCIDING WITH LENGTH OF CIRCULAR ARC
4. EXAMPLES AND COMMENTS
ACKNOWLEDGMENT
REFERENCES
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UCI(KEPA) : I410-ECN-0101-2013-410-000555327