원문정보
피인용수 : 0건 (자료제공 : 네이버학술정보)
초록
영어
In this paper the approximation methods of offset curve of conic with explicit error bound are considered. The quadratic approximation of conic(QAC) method, the method based on quadratic circle approximation(BQC) and the Pythagorean hodograph cubic(PHC) approximation have the explicit error bound for approximation of offset curve of conic. We present the explicit upper bound of the Hausdorff distance between the offset curve of conic and its PHC approximation. Also we show that the PHC approximation of any symmetric conic is closer to the line passing through both endpoints of the conic than the QAC.
목차
Abstract
1. Introduction
2. Offset Approximation Method of Conics
2.1. Quadratic Approximation of Conics
2.2. Based on Quadratic Circle Approximation
2.3. PH Cubic Approximation of Conic
3. Comparison of Offset Approximation Methods of Conics
4. Conclusions
Acknowledgement
References
1. Introduction
2. Offset Approximation Method of Conics
2.1. Quadratic Approximation of Conics
2.2. Based on Quadratic Circle Approximation
2.3. PH Cubic Approximation of Conic
3. Comparison of Offset Approximation Methods of Conics
4. Conclusions
Acknowledgement
References
저자정보
참고문헌
자료제공 : 네이버학술정보