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    罗钟铉

    • 教授     博士生导师   硕士生导师
    • 主要任职:校长助理兼软件学院院长
    • 性别:男
    • 毕业院校:大连理工大学
    • 学位:博士
    • 所在单位:软件学院、国际信息与软件学院
    • 学科:软件工程. 计算机应用技术
    • 办公地点:大连理工大学主楼
    • 联系方式:+86-411-84708315
    • 电子邮箱:zxluo@dlut.edu.cn

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    A C-1-rational spline in range restricted interpolation of scattered data

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    论文类型:期刊论文

    发表时间:2006-10-01

    发表刊物:JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

    收录刊物:SCIE、EI、Scopus

    卷号:194

    期号:2

    页面范围:255-266

    ISSN号:0377-0427

    关键字:C-mu-rational splines; cubic Bezier triangle; interpolation; range restrictions

    摘要:A range restricted C-1 interpolation local scheme to scattered data is developed. C-mu-rational spline function classes over triangles and quadrilaterals have been investigated by the first author. In this paper we concentrate on the C-1-rational spline over triangles and represent it as piecewise a convex combination of three cubic Bezier triangular patches. Further, with such an equivalent form of C-1 rational spline, the construction of a range restricted C1 interpolant subject to polynomial constraint surface of degree up to three is considered. In the end of this paper some numerical examples are illustrated. (c) 2005 Elsevier B.V. All rights reserved.