Improved method generating a free-form surface using integral equations

被引：22

作者：

Ochiai, Y ^{[1
]}

Yasutomi, Z ^{[1
]}

机构：

[1] Kinki Univ, Fac Sci & Technol, Higashiosaka, Osaka 5778502, Japan

来源：

COMPUTER AIDED GEOMETRIC DESIGN | 2000年 / 17卷 / 03期

关键词：

scattered data interpolation; modeling; drawing; surface generation; CAD; boundary element method;

D O I：

10.1016/S0167-8396(99)00047-3

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

This paper illustrates a method of generating a free-form surface using the boundary integral equation with the polyharmonic function and the integrated polyharmonic function. This method requires the boundary geometry of a free-form surface and the lines or the points on the fret-form surface. The height of the points on the free-form surface is calculated after solving the discretized boundary integral equation. In this paper, the integrated polyharmonic functions are derived. The surface, which is obtained using these functions: is effectively smooth even if lower-order functions are used. In order to investigate the effectiveness of this method, several examples are shown. (C) 2000 Elsevier Science B.V. All rights reserved.

引用

页码：233 / 245

页数：13

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