[1]宋丽平.C-B样条曲线的分割和拼接[J].计算机技术与发展,2011,(09):114-117.
SONG Li-ping.Arbitrary Subdivision Algorithm and Joining of C-B-Spline[J].,2011,(09):114-117.
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C-B样条曲线的分割和拼接(
)
《计算机技术与发展》[ISSN:1006-6977/CN:61-1281/TN]
- 卷:
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- 期数:
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2011年09期
- 页码:
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114-117
- 栏目:
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智能、算法、系统工程
- 出版日期:
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1900-01-01
文章信息/Info
- Title:
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Arbitrary Subdivision Algorithm and Joining of C-B-Spline
- 文章编号:
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1673-629X（2011）09-0114-04
- 作者:
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宋丽平
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西安工业大学北方信息工程学院
- Author(s):
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SONG Li-ping
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North Institute of Information Engineering,Xi＇an Technological University
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- 关键词:
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C-B样条; 均匀B样条; 分割; 拼接; 曲率连续
- Keywords:
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C-B-spline; cubic uniform B-spline; subdivision; joining; curvature continuity
- 分类号:
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TP391.41
- 文献标志码:
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A
- 摘要:
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曲线曲面造型中设计复杂的自由曲线时,单段曲线已不能满足外形设计的要求,因而在实际造型中,经常采用曲线的分割和拼接。C-B样条理论是曲线曲面造型的一项重要内容。在对C-B样条基函数及曲线端点特性分析的基础上,提出了C-B样条曲线的任意分割算法,并对C-B样条曲线间进行了G1拼接,给出了B样条曲线和C-B样条曲线G1和G2光滑拼接的几何条件。采用分割和拼接技术会增加C-B样条曲线的灵活性,所得结论具有明确的几何意义,并可以进一步推广到C-B样条曲面造型中
- Abstract:
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The single curve already can＇t satisfy the requirements of shape design when designing complex free curve in curve/surface modeling.Thus in the actual modeling,C-B-spline theory is an important content of curve/surface modeling.Propose the algorithm of arbitrarily divided when analysing C-B-spline basis functions,then splicing between two C-B-spline.In addition,give geometry conditions about B-spline curves and C-B-spline curves.The results are benefit for the shape modification,and they can also be extended to surface modeling with C-B-spline
备注/Memo
- 备注/Memo:
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陕西省教育厅项目（2010JK588）宋丽平（1981-），女，陕西人，助教，硕士，研究方向为计算机图形学及其辅助几何设计
更新日期/Last Update:
1900-01-01