Bilinear precision of rational Bezier surfaces

被引：0

作者：

Chen, FL

机构：

来源：

COMPUTER AIDED GEOMETRIC DESIGN | 1997年 / 14卷 / 04期

关键词：

rational Bezier surfaces; bilinear precision; linear precision;

D O I：

10.1016/S0167-8396(96)00054-4

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

This short note proves the bilinear precision property of rational Bezier surfaces and gives a simple algorithm to compute the weights. Linear precision of rational Bezier surfaces is also discussed.

引用

页码：387 / 391

页数：5

共 50 条

[31] POINT AND TANGENT COMPUTATION OF TENSOR PRODUCT RATIONAL BEZIER SURFACES
SEDERBERG, TW
COMPUTER AIDED GEOMETRIC DESIGN, 1995, 12 (01) : 103 - 106
[32] The Invariant Functions of the Rational Bi-cubic Bezier Surfaces
Bez, H. E.
MATHEMATICS OF SURFACES XIII, 2009, 5654 : 55 - 74
[33] An iterative algorithm for polynomial approximation of rational triangular Bezier surfaces
Hu, Qianqian
APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (17) : 9308 - 9316
[34] Minimizing the maximal ratio of weights of rational Bezier curves and surfaces
Cai, Hong-Jie
Wang, Guo-Jin
COMPUTER AIDED GEOMETRIC DESIGN, 2010, 27 (09) : 746 - 755
[35] ON A CLASS OF DEVELOPABLE RATIONAL (1,4)-BEZIER SURFACES
Lang, Johann
Roeschel, Otto
Shelden, Dennis
APLIMAT 2005 - 4TH INTERNATIONAL CONFERENCE, PT I, 2005, : 177 - 182
[36] Some improvements on the derivative bounds of rational Bezier curves and surfaces
Zhang, Ren-Jiang
Ma, Weiyin
COMPUTER AIDED GEOMETRIC DESIGN, 2006, 23 (07) : 563 - 572
[37] REPRESENTATION OF RATIONAL BEZIER CURVES AND SURFACES BY RECURSIVE ALGORITHMS.
Piegl, L.
CAD Computer Aided Design, 1986, 18 (07): : 361 - 366
[38] Evaluation of difference bounds for computing rational Bezier curves and surfaces
Wu, ZK
Lin, F
Soon, SH
Yun, CK
COMPUTERS & GRAPHICS-UK, 2004, 28 (04): : 551 - 558
[39] A GEOMETRIC CONDITION FOR SMOOTHNESS BETWEEN ADJACENT RATIONAL BEZIER SURFACES
JIE, T
COMPUTERS IN INDUSTRY, 1990, 13 (04) : 355 - 360
[40] Improved bounds on partial derivatives of rational triangular Bezier surfaces
Hu, Qian-Qian
Wang, Guo-Jin
COMPUTER-AIDED DESIGN, 2007, 39 (12) : 1113 - 1119

← 1 2 3 4 5 →