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有理四次插值样条曲线的区域控制
  • ISSN号：1000-7024
  • 期刊名称：《计算机工程与设计》
  • 时间：0
  • 分类：TP391[自动化与计算机技术—计算机应用技术;自动化与计算机技术—计算机科学与技术]
  • 作者机构：[1]湘南学院数学系,湖南郴州423000, [2]长沙理工大学数学与计算科学学院,湖南长沙410076, [3]合肥学院数理系,安徽合肥2300601
  • 相关基金：国家自然科学基金项目（20206033）;湖南省自然科学基金项目（06JJY4073）;湖南省教育厅科研基金项目（06C791）.
作者： 邓四清[1], 王平[2], 谢进[3]
关键词： 计算机应用, 曲线设计, 有理插值, 四次样条, 约束插值, 形状控制, computer application, curve design, rational interpolation, quartic spline, constrained interpolation, shape control
中文摘要：

将插值曲线约束于给定的区域之内是曲线形状控制中的重要问题。构造了一种分母为线性的1连续有理四次插值样条。该有理四次插值样条中含有参数和调节参数,因而可以在插值条件不变的情况下通过对参数的选择进行曲线的局部修改,给约束控制带来了方便,同时可以通过对参数的控制实现2连续的插值。对该种插值曲线的区域控制问题进行了研究,给出了将其约束于给定的折线、二次曲线之上、之下或之间的充分条件。最后给出了数值例子。

英文摘要：

To constrain the interpolating curves to be bounded in the given region is an important problem in curve design. A rational quartic interpolating spline with linear denominator is constructed. The sufficient conditions for the interpolating curves to be above, below or between the given broken lines or piecewise quadratic curves are derived. An example is given.

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期刊信息
  • 《计算机工程与设计》
  • 北大核心期刊（2011版）
  • 主管单位:中国航天科工集团
  • 主办单位:中国航天科工集团二院706所
  • 主编：汤铭瑞
  • 地址：北京142信箱37分箱
  • 邮编：100854
  • 邮箱：ced@china-ced.com
  • 电话：010-68389884
  • 国际标准刊号：ISSN：1000-7024
  • 国内统一刊号：ISSN：11-1775/TP
  • 邮发代号:82-425
  • 获奖情况:
  • 中国科学引文数据库来源期刊,中国学术期刊综合评价数据库来源期刊,中国科技论文统计与分析用期刊
  • 国内外数据库收录:
  • 波兰哥白尼索引,美国剑桥科学文摘,英国科学文摘数据库,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）
  • 被引量:45616