A Novel Generalization of Bezier-like Curves and Surfaces with Shape Parameters

被引：12

作者：

Ameer, Moavia ^{[1
]}

Abbas, Muhammad ^{[1
]}

Abdeljawad, Thabet ^{[2
,3
]}

Nazir, Tahir ^{[1
]}

机构：

[1] Univ Sargodha, Dept Math, Sargodha 40100, Pakistan

[2] Prince Sultan Univ, Dept Math & Sci, Riyadh 11586, Saudi Arabia

[3] China Med Univ, Dept Med Res, Taichung 40402, Taiwan

来源：

MATHEMATICS | 2022年 / 10卷 / 03期

关键词：

generalized Bernstein-like basis functions; generalized Bezier-like curves; surfaces; shape parameters; classical Bezier curves; geometric properties; EXTENSION; INTERPOLATION; CONSTRUCTION; PATCH;

D O I：

10.3390/math10030376

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Bezier curves and surfaces with shape parameters have received more attention in the field of engineering and technology in recent years because of their useful geometric properties as compared to classical Bezier curves, as well as traditional Bernstein basis functions. In this study, the generalized Bezier-like curves (gBC) are constructed based on new generalized Bernstein-like basis functions (gBBF) with two shape parameters. The geometric properties of both gBBF and gBC are studied, and it is found that they are similar to the classical Bernstein basis and Bezier curve, respectively. Some free form curves can be modeled using the proposed gBC and surfaces as the applications.

引用

页数：19

共 31 条

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