Curve and Surface Geometric Modeling via Generalized Bézier-like Model

Moavia Ameer, Muhammad Abbas, Kenjiro T. Miura, Abdul Majeed and Tahir Nazir
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Moavia Ameer: Department of Mathematics, University of Sargodha, Sargodha 40100, Pakistan
Muhammad Abbas: Department of Mathematics, University of Sargodha, Sargodha 40100, Pakistan
Kenjiro T. Miura: Department of Mechanical Engineering, Shizuoka University, Hamamatsu, Shizuoka 432-8561, Japan
Abdul Majeed: Department of Mathematics, Division of Science and Technology, University of Education, Lahore 54770, Pakistan
Tahir Nazir: Department of Mathematics, University of Sargodha, Sargodha 40100, Pakistan

Mathematics, 2022, vol. 10, issue 7, 1-14

Abstract: Generalized Bernstein-like functions (gB-like functions) with different shape parameters are used in this work. Parametric and geometric conditions in generalized form are developed. Some numerical examples of the parametric continuity (PC) and geometric continuity (GC) constraints of generalized Bézier-like curves (gB-like curves) are analyzed with graphical representation. Bézier-like symmetric rotation surfaces are constructed by gB-like curves. Vase and Capsule Taurus surfaces are modeled with the help of symmetry. The effect of shape parameters on surfaces are also analyzed. The illustrating figures reveal that the proposed curves and surfaces yield an accommodating strategy and mathematical depiction of Bézier curves and surfaces, allowing them to be a beneficial way to describe curves and surfaces.

Keywords: gB-like functions; gB-like curves; symmetric; ordinary Bézier curves; geometric properties; PC; GC (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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