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- 한국산업응용수학회 JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS Journal of the Korean Society for Industrial and Applied Mathematics Vol.20 No.2
- 발행연도
- 2016.6
- 수록면
- 151 - 161 (11page)
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초록· 키워드
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In this paper, we present a C<SUP>3</SUP> quartic B-spline approximation of circular arcs. The Hausdorff distance between the C<SUP>3</SUP> quartic B-spline curve and the circular arc is obtained in closed form. Using this error analysis, we show that the approximation order of our approximation method is six. For a given circular arc and error tolerance we find the C<SUP>3</SUP> quartic B-spline curve having the minimum number of control points within the tolerance. The algorithm yielding the C<SUP>3</SUP> quartic B-spline approximation of a circular arc is also presented.
목차
ABSTRACT
1. INTRODUCTION
2. C³ QUARTIC UNIFORM B-SPLINE CURVE APPROXIMATION OF CIRCULAR ARCS
3. APPROXIMATION ORDER OF C³ QUARTIC B-SPLINE APPROXIMATION OF CIRCULAR ARC
4. APPROXIMATION ALGORITHM AND NUMERICAL EXAMPLE
5. CONCLUSION
REFERENCES
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UCI(KEPA) : I410-ECN-0101-2017-410-000880301