Approximation of surfaces of revolution by developable surfaces

被引：29

作者：

Hoschek, J ^{[1
]}

机构：

[1] Tech Univ Darmstadt, Arbeitsgrp 3, D-64289 Darmstadt, Germany

来源：

COMPUTER-AIDED DESIGN | 1998年 / 30卷 / 10期

关键词：

developable surfaces; revolutes; approximation; cones; cylinders;

D O I：

10.1016/S0010-4485(98)00030-X

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

Algorithms are developed for approximation of surfaces of revolution by parts of cones and cylinders. The method can be extended to other surfaces generated by moving a planar curve. The main idea is to use the offset curves with an offset +/- epsilon of a given planar curve for controlling the approximation with respect to a maximal error tolerance epsilon. As a result we obtain a planar pattern of the considered surfaces, and thus the surfaces can be approximately developed by bending the planar development. (C) 1998 Elsevier Science Ltd. All rights reserved.

引用

页码：757 / 763

页数：7

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