The Quadratic Trigonometric Bezier like Curve With two Shape Parameters

Mabrokah kilani (1) , Almbrok Omar (2) , Iman Ahmed (3) , Fatima Abuzaiyan (4)
(1) Mathematics Department, Faculty of Sciences, Sebha University, Libya ,
(2) Mathematics Department, Faculty of Sciences, Sebha University, Libya ,
(3) Mathematics Department, Faculty of Sciences, Sebha University, Libya ,
(4) Mathematics Department, Faculty of Sciences, Sebha University, Libya

Abstract

The quadratic trigonometric Bezier model serves as a potent and valuable tool in computer-aided geometric design, boasting exceptional geometric properties. In this study, Novel functions are introduced by leveraging a trigonometric Bezier-like curve with adjustable shape parameters. Each curve segment is formed by three consecutive control points, providing precise control over shape by adjusting these parameters while keeping the control polygon unchanged. These curves exhibit superior proximity to the control polygon compared to quadratic Bezier curves across all shape parameter values, gradually approaching the control polygon as the shape parameter increases. Moreover, for practical application, the quadratic trigonometric Bezier-like curve was utilized to artfully design the Arabic word "الله" (Allah) and define flower contours, employing MATHEMATICA software. The results underscore the model's effectiveness in accurately representing intricate shapes, offering a versatile and efficient solution for diverse design challenges. Furthermore, the fusion of the quadratic trigonometric Bezier-like curve with shape parameters significantly augments design flexibility and adaptability, making it a valuable asset in computer graphics, geometric modeling, and artistic design across multiple domains.

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Authors

Mabrokah kilani
Mabr.alkelani1@sebhau.edu.ly (Primary Contact)
Almbrok Omar
Iman Ahmed
Fatima Abuzaiyan
kilani, M., Omar, A., Ahmed, I., & Abuzaiyan, F. (2023). The Quadratic Trigonometric Bezier like Curve With two Shape Parameters. Journal of Pure & Applied Sciences, 22(3), 215–221. https://doi.org/10.51984/jopas.v22i3.2786

Article Details

Arabic Font Desigin Using Quadratic Bezier-Like Curve

Iman Aissa Alghannay Ahmed, Almbrok Hussin Alsonosi Omar, Jamaludin Md Ali
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