INTERPOLATORY CONVEXITY-PRESERVING SUBDIVISION SCHEMES FOR CURVES AND SURFACES

被引：42

作者：

DYN, N ^{[1
]}

LEVIN, D ^{[1
]}

LIU, D ^{[1
]}

机构：

[1] FUDAN UNIV,INST MATH,CTR APPL MATH,220 HANDAN RD,SHANGHAI,PEOPLES R CHINA

来源：

COMPUTER-AIDED DESIGN | 1992年 / 24卷 / 04期

关键词：

INTERPOLATION; CONVEXITY; SUBDIVISION; CURVES; SURFACES;

D O I：

10.1016/0010-4485(92)90057-H

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

Interpolatory convexity-preserving subdivision schemes for curves and surfaces are introduced, and a convergence analysis is presented. The schemes are defined by geometric constructions, and they are nonlinear in the control points. It is shown, by geometry-based proofs, that the limit curves and surfaces are C1.

引用

页码：211 / 216

页数：6

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