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异度隐函数样条曲线曲面
  • 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：TP391.72[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] O241.3[理学—计算数学;理学—数学]
  • 作者机构：[1]大连理工大学数学科学学院,大连116024
  • 相关基金：国家自然科学基金（60533060,10726068,10801024）.
作者： 朱春钢[1], 李彩云[1], 王仁宏[1]
关键词： 几何连续, 隐函数样条, 隐式曲线曲面, 拼接, 插值, geometric continuity, functional splines, implicit curves/surfaces, blending, interpolation
中文摘要：

隐式曲线曲面被广泛应用于曲线曲面插值、逼近与拼接.通过添加辅助曲线曲面,提出异度隐函数样条曲线曲面方法,并对其插值性、凸性与正则性进行分析.具体实例表明,异度隐函数样条提供了次数低、构造简单、灵活性好的曲线曲面插值与拼接方法.

英文摘要：

Implicit curves and surfaces are extensively used in interpolation, approximation and blending. By adding auxiliary curves and surfaces, the functional spline curves and surfaces with different degrees of smoothness are presented. In addition, convexity, regularity and convexity are also discussed. The examples show that the functional spline curves and surfaces provide the lower degree, simple, and flexible interpolation and blending means of curves and surfaces.

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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