Generalized 5-point approximating subdivision scheme of varying arity
The Subdivision Schemes (SSs) have been the heart of Computer Aided Geometric Design
(CAGD) almost from its origin, and various analyses of SSs have been conducted. SSs are …
(CAGD) almost from its origin, and various analyses of SSs have been conducted. SSs are …
[HTML][HTML] A combined approximating and interpolating ternary 4-point subdivision scheme
L Zhang, H Ma, S Tang, J Tan - Journal of Computational and Applied …, 2019 - Elsevier
In this paper, a new combined approximating and interpolating ternary 4-point subdivision
scheme with multiple parameters is proposed. A set of nice properties, such as support …
scheme with multiple parameters is proposed. A set of nice properties, such as support …
Shape-preserving properties of a relaxed four-point interpolating subdivision scheme
In this paper, we analyze shape-preserving behavior of a relaxed four-point binary
interpolating subdivision scheme. These shape-preserving properties include positivity …
interpolating subdivision scheme. These shape-preserving properties include positivity …
A new 7-point quaternary approximating subdivision scheme
This paper, presents the algorithm which generates a new 7-point quaternary approximating
subdivision scheme with shape parameter w. By applying the algorithm, we further discuss …
subdivision scheme with shape parameter w. By applying the algorithm, we further discuss …
Generation of fractal curves using new binary 8-point interpolatory subdivision scheme
The subdivision scheme is a valuable tool for designing shapes and representing geometry
in computer-aided geometric design. It has excellent geometric properties, such as fractals …
in computer-aided geometric design. It has excellent geometric properties, such as fractals …
A new paradigm to design a class of combined ternary subdivision schemes
Subdivision schemes play a vital role in curve modeling. The curves produced by the class
of (2n+ 2)‐point ternary scheme (Deslauriers and Dubuc (1989)) interpolate the given data …
of (2n+ 2)‐point ternary scheme (Deslauriers and Dubuc (1989)) interpolate the given data …
一类保细节特征的双参数m 重融合型细分
张莉， 马欢欢， 唐烁， 檀结庆 - 计算机辅助设计与图形学学报, 2019 - jcad.cn
基于B 样条的光滑性, 利用Laurent 多项式与细分生成多项式之间的关系, 构造出可生成一类m
重融合型细分格式的Laurent 多项式. 构造的Laurent 多项式不仅包含了较多经典格式 …
重融合型细分格式的Laurent 多项式. 构造的Laurent 多项式不仅包含了较多经典格式 …
A 3-point point quinary approximating subdivision schemes and its application in geometric modeling and computer graphics
This article discusses the significance of a subdivision scheme with shape parameters in
geometric modeling and computational geometry. A new recursive method for generating …
geometric modeling and computational geometry. A new recursive method for generating …
Construction and application of Septic B-spline tensor product scheme
The subdivision schemes have already considered as a fundamental research part of CAGD
for the aim of curve shaping. A lot of work has been done in this famous research area of …
for the aim of curve shaping. A lot of work has been done in this famous research area of …
[PDF][PDF] 一类混合型三重细分法
黄丙耀， 檀结庆 - 电子学报, 2021 - ejournal.org.cn
文章从几何的视角出发, 以四点二重插值细分格式的几何解释为基础, 对四点三重插值细分格式
的几何意义进行分析, 改造格式使其融合逼近细分, 进而得到一类带参数的混合型三重细分格式 …
的几何意义进行分析, 改造格式使其融合逼近细分, 进而得到一类带参数的混合型三重细分格式 …