A C-2 triangular patch for the interpolation of functional scattered data

被引：12

作者：

Chang, LHT

Said, HB

机构：

[1] School of Mathematical Sciences, Universiti Sains Malaysia

来源：

COMPUTER-AIDED DESIGN | 1997年 / 29卷 / 06期

关键词：

scattered data points; barycentric coordinates; Bezier patches; triangular patches;

D O I：

10.1016/S0010-4485(96)00068-1

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

Given a set of data points with their positional, first- and second-order partial derivative values, we wish to construct a smooth surface which interpolates these values. The method requires triangulation of the data, and a rationally corrected quintic Bezier triangular patch scheme is then employed on each triangle. Each patch is rational of degree 9 over degree 4 but can be controlled by only 27 Bezier points. The data given enables us to determine appropriate Bezier control points so that adjacent patches meet with C-2 continuity. (C) 1997 Elsevier Science Ltd.

引用

页码：407 / 412

页数：6

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