[HTML][HTML] Explicit representations of changeable degree spline basis functions

W Shen, G Wang, P Yin - Journal of computational and applied …, 2013 - Elsevier
Changeable degree spline (CD-spline for short) basis functions, defined by an iterative
integral method, are extensions of B-spline basis functions. A CD-spline basis function is a …

Geometric shapes of C-Bézier curves

W Shen, G Wang - Computer-Aided Design, 2015 - Elsevier
In this paper, we focus on the geometric shapes of the C-Bézier curves for the space span
{1, t,…, tn, sin t, cos t}. First, any C-Bézier curve is divided into a Bézier curve and a …

5 阶三角多项式空间中的拟Bézier 基在三角域上的推广

沈莞蔷, 汪国昭 - 计算机辅助设计与图形学学报, 2010 - jcad.cn
为了进一步研究非多项式空间的拟B 啨zier 基, 完善其关于三角域部分的理论, 将5
阶三角多项式空间G= span1, sint, cost, sin2t, cos2t 上的基推广到三角域上, 构造出满足正性 …

Triangular domain extension of algebraic trigonometric Bézier-like basis

Y Wei, W Shen, G Wang - Applied Mathematics-A Journal of Chinese …, 2011 - Springer
In computer aided geometric design (CAGD), Bézier-like bases receive more and more
considerations as new modeling tools in recent years. But those existing Bézier-like bases …

线性p-Bézier 曲线的几何形状

沈莞蔷, 汪国昭, 徐红林 - 计算机辅助设计与图形学学报, 2014 - jcad.cn
为了丰富非多项式空间的拟Bézier 系统的几何性质, 针对线性三角多项式空间的p-Bézier
曲线进行研究. 首先通过几何变换与参数变换将椭圆的参数方程化为p-Bézier 形式; …

Triangular domain extension of linear Bernstein-like trigonometric polynomial basis

W Shen, G Wang - Journal of Zhejiang University SCIENCE C, 2010 - Springer
In computer aided geometric design (CAGD), the Bernstein-Bézier system for polynomial
space including the triangular domain is an important tool for modeling free form shapes …

[HTML][HTML] 沿整体C-Bézier 曲线的运动

沈莞蔷, 李玲玉, 汪国昭 - 2018 - cjig.cn
目的整体曲线包括传统有限闭区间(比如[0, $ α $]) 上的内部段和该区间外的延拓段.
在计算机辅助设计(CAD) 中, 构造整体曲线常用分段表示, 存在冗余数据——为了减少冗余 …

[PDF][PDF] 三次ω-Bézier 曲线的形状分析

吴晓勤, 韩旭里 - 软件学报, 2010 - jos.org.cn
三次ω-Bézier 曲线的形状分析 Page 1 ISSN 1000-9825, CODEN RUXUEW E-mail: jos@iscas.ac.cn
Journal of Software, Vol.21, Supplement, December 2010, pp.60−66 http://www.jos.org.cn © …

Hexagonal pyramid algorithm over a triangular domain

W Shen, G Wang, Y Yang, A Hu - Graphical Models, 2018 - Elsevier
In this paper, we introduce Hexagonal Pyramid Algorithm (HPA for short) over a triangular
domain. Compared with the traditional pyramid algorithm of Bernstein-Bézier system over …

[引用][C] Bézier 曲线到AH-Bézier 曲线的升阶算法

沈莞蔷, 汪国昭 - 计算机工程与应用, 2014