PROPERTIES OF GENERALIZED BALL CURVES AND SURFACES

被引：40

作者：

GOODMAN, TNT ^{[1
]}

SAID, HB ^{[1
]}

机构：

[1] UNIV SAINS MALAYSIA,SCH MATH & COMP SCI,GEORGE TOWN 11800,MALAYSIA

来源：

COMPUTER-AIDED DESIGN | 1991年 / 23卷 / 08期

关键词：

GENERALIZED BALL BASIS; DEGREE RAISING; DEGREE LOWERING; TRIANGULAR POLYNOMIAL PATCH;

D O I：

10.1016/0010-4485(91)90056-3

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

It is shown that the generalized Ball representation for a polynomial curve is much better suited to degree raising and lowering than the Bezier representation. The generalized Ball basis is then extended to polynomial surfaces over a triangle, and recursive algorithms for evaluation and degree raising are given.

引用

页码：554 / 560

页数：7

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SAID, HB .

ACM TRANSACTIONS ON GRAPHICS, 1989, 8 (04) :360-371

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