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Comparison of Offset Approximation Methods of Conics with Explicit Error Bounds

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Author(s)
Sung Chul Bae Young Joon Ahn
Issued Date
2016
Keyword
Conic Offset Approximation Explicit Error Bound Convolution Curve Pythagorean Hodograph
Abstract
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.
Publisher
조선대학교 기초과학연구원
Citation
Sung Chul Bae. (2016). Comparison of Offset Approximation Methods of Conics with Explicit Error Bounds, 조선자연과학논문집 | Vol.9, No.1 p.10 ~ p.15
Type
Laboratory article
ISSN
2005-1042
URI
https://oak.chosun.ac.kr/handle/2020.oak/17298
http://www.chosun.ac.kr/user/indexSub.do?codyMenuSeq=24427455&siteId=ricns&dum=dum&boardId=175013&page=1&command=list&categoryId=266501&categoryDepth=0010
Appears in Collections:
2016 > Vol.9, No.1
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