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Indexed by: Journal Article

Date of Publication: 2000-12-30

Journal: 高等学校计算数学学报

Included Journals: CSCD、PKU

Volume: 22

Issue: 4

Page Number: 301-304

ISSN: 1000-081X

Key Words: spline function; B-spline; nonuniform partition. AMS(1991) subject classificatious 41A05; 65D07.

Abstract: 1引言
给定递增数列{xi},{yj},{zk}.对于R2,由直线{x=xi}和{y=yj}形成的剖分称为非均匀矩形剖分;再连接每个矩形[xi,xi+1]×[yj,yj+1]的正斜率对角线形成的剖分称为非均匀Ⅰ-型三角剖分,记为△1*;若连接每个矩形的两条对角线,则所得剖分为非均匀Ⅱ-型三角剖分,记为△2*.对于R3,由平面{x=xi},{y=yj},{z=zk}形成的剖分称为非均匀长方体剖分;若再连接每个小长方体[xi,xi+1]×[yj,yj+1]×[zk,zk+1]的过点(xi,yj,zk)的三个对棱面,所得剖分称为非均匀Ⅰ-型剖分,记为▽31;若连接的是六个对棱面,所得剖分称为非均匀Ⅱ-型剖分,记为▽32,若在▽32基础上再加上八个对角面,所得剖分称为非均匀Ⅲ-型剖分,记为▽33.