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A Novel Generalization of Bézier-like Curves and Surfaces with Shape Parameters
| Content Provider | MDPI |
|---|---|
| Author | Ameer, Moavia Abbas, Muhammad Abdeljawad, Thabet Nazir, Tahir |
| Copyright Year | 2022 |
| Description | Bézier 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 Bézier curves, as well as traditional Bernstein basis functions. In this study, the generalized Bézier-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 Bézier curve, respectively. Some free form curves can be modeled using the proposed gBC and surfaces as the applications. |
| Starting Page | 376 |
| e-ISSN | 22277390 |
| DOI | 10.3390/math10030376 |
| Journal | Mathematics |
| Issue Number | 3 |
| Volume Number | 10 |
| Language | English |
| Publisher | MDPI |
| Publisher Date | 2022-01-26 |
| Access Restriction | Open |
| Subject Keyword | Mathematics Manufacturing Engineering Generalized Bernstein-like Basis Functions Generalized Bézier-like Curves Surfaces Shape Parameters Classical Bézier Curves Geometric Properties |
| Content Type | Text |
| Resource Type | Article |
