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圆弧的五次PH曲线等弧长逼近
  • ISSN号：1003-9775
  • 期刊名称：《计算机辅助设计与图形学学报》
  • 时间：0
  • 分类：O241.5[理学—计算数学;理学—数学]
  • 作者机构：[1]中国科学技术大学数学系,合肥230026, [2]合肥师范学院数学系,合肥230061
  • 相关基金：国家自然科学基金（60533060,10671192）;新世纪优秀人才支持计划（NCET08-0514）.
作者： 张伟红[1,2], 蔡亦青[1], 冯玉瑜[1]
关键词： 圆弧, PH曲线, 多项式逼近, circular arcs, PH curves, polynomial curve approximation
中文摘要：

针对圆弧多项式逼近中弧长不相等的问题,对给定圆弧在逼近多项式插值圆弧端点和端点切向量的条件下,结合PH曲线弧长可用多项式精确表示的性质,提出等弧长多项式逼近方法,并给出了五次PH多项式逼近圆弧的精确表示.最后通过实例说明了该方法的有效性.

英文摘要：

Most of the existing polynomial approximation methods of circular arcs do not preserve the arc lengths. To solve this problem, a new polynomial approximation method of circular arcs is proposed, where the result curves have the same endpoint positions, tangent vectors, and lengths as the given arcs. Here the PH curves are involved since their arc lengths can be represented using polynomial form. The accurate representations of the results in quintic PH curves are provided. Numerical examples are given to show the effectiveness of the new method.

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期刊信息
  • 《计算机辅助设计与图形学学报》
  • 北大核心期刊（2011版）
  • 主管单位:中国科学技术协会
  • 主办单位:中国计算机学会
  • 主编：鲍虎军
  • 地址：北京2704信箱
  • 邮编：100190
  • 邮箱：jcad@ict.ac.cn
  • 电话：010-62562491
  • 国际标准刊号：ISSN：1003-9775
  • 国内统一刊号：ISSN：11-2925/TP
  • 邮发代号:82-456
  • 获奖情况:
  • 第三届国家期刊奖提名奖
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,荷兰文摘与引文数据库,美国工程索引,英国科学文摘数据库,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:24752