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有理B样条曲面的区间隐式化
  • ISSN号：1003-9775
  • 期刊名称：计算机辅助设计与图形学学报
  • 时间：0
  • 页码：849-853
  • 语言：中文
  • 分类：TP391.4[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]中国科学技术大学数学系,合肥230026
  • 相关基金：国家自然科学基金（60533060,60473132,10626049）;教育部博士点基金;高等学校学科创新引智计划（b07033）.
  • 相关项目：μ基的理论、计算与应用的研究
作者： 冯玉瑜|邓建松|陈越强|
关键词： 有理B样条曲面, 区间隐式B样条曲面, 区间隐式化, rational B-spline surface, interval implicit B-spline surface, interval implicitization
中文摘要：

提出有理B样条曲面的区间隐式化方法，即对一个有理B样条曲面，寻求包含给定的曲面的区间隐式B样条曲面，使得区间隐式B样条曲面的“厚度”尽量小，同时尽量避免出现多余分支．该问题等价于求区间隐式B样条曲面的2个边界曲面．针对该问题建立一个最优化模型并求解．

英文摘要：

We study the interval implicitization of rational B-spline surfaces; that is, finding an interval implicit B-spline surface which bounds a given rational B-spline surface such that the width of the interval implicit B-spline surface is as small as possible. This problem is equivalent to finding the two bounding surfaces of interval implicit B-spline surface. To achieve this goal, we establish an optimization model and give the solution.

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动态隐式曲面重构技术及其应用的研究
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曲面重构中的最优化理论与方法
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隐式曲面造型的理论和方法研究
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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