A C-1 TRIANGULAR INTERPOLANT SUITABLE FOR SCATTERED DATA INTERPOLATION

被引：27

作者：

GOODMAN, TNT ^{[1
]}

SAID, HB ^{[1
]}

机构：

[1] UNIV SAINS MALAYSIA,SCH MATH & COMP SCI,GEORGE TOWN 11800,MALAYSIA

来源：

COMMUNICATIONS IN APPLIED NUMERICAL METHODS | 1991年 / 7卷 / 06期

关键词：

D O I：

10.1002/cnm.1630070608

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We present here a method of constructing a triangle interpolant which interpolates position and partial derivatives specified at the three vertices of the triangle. The method employs the cubic Bezier triangular patch technique. The data given enable us to determine the appropriate Bezier control points so that adjacent patches meet with C1 continuity. However, the interior control point for the patch is replaced by three separate points, due to the implementation of three local schemes, each of which satisfies the boundary conditions on only one side of the triangle. Convex combination is used to blend these three local schemes.

引用

页码：479 / 485

页数：7

共 5 条

[1]

Farin G., 1986, Computer-Aided Geometric Design, V3, P83, DOI 10.1016/0167-8396(86)90016-6

[2] SCATTERED DATA INTERPOLATION - TESTS OF SOME METHODS [J].

FRANKE, R .

MATHEMATICS OF COMPUTATION, 1982, 38 (157) :181-200

[3]

Lawson CL, 1997, MATH SOFTWARE, P161, DOI DOI 10.1016/B978-0-12-587260-7.50011-X

[4] A TRIANGLE-BASED C-1 INTERPOLATION METHOD [J].

RENKA, RJ ;

CLINE, AK .

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 1984, 14 (01) :223-237

[5]

Whelan T., 1986, Computer-Aided Geometric Design, V3, P53, DOI 10.1016/0167-8396(86)90024-5

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