The Quadratic Trigonometric Bezier like Curve With two Shape Parameters
Article Sidebar
-
Bezier curve, Quadratic Basis Functions, Quadratic trigonometric Bezier llike curve, Shape Parameters, Arabic font
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.
Full text article
References
[1]-Han, X. A., Ma, Y., & Huang, X. (2009). The cubic trigonometric Bezier curve with two shape parameters. Applied Mathematics Letters,22(2), 226-231.
[2]-Dube, M., & Sharma, R. (2013). Quartic trigonometric Bezier curve with a shape parameter. International Journal of Mathematics and Computer Applications Research,3(3), 89-96.
[3]-Usman, M., Abbas, M., & Miura, K. T. (2020). Some engineering applications of new trigonometric cubic Bezier-like curves to free-form complex curve modeling. Journal of Advanced Mechanical Design, Systems, and Manufacturing,14(4), JAMDSM0048-JAMDSM0048.
[4]-BiBi, S., Abbas, M., Micro, M. Y., & Hu, G. (2019). A novel approach of hybrid trigonometric Bezier curve to the modeling of symmetric revolutionary curves and symmetric rotation surfaces' Access,7, 165779-165792.
[5]-Zhang, H., & Jeering, F. (2006). Bezier curves and surfaces (2). State Key Lab of CAD&CG Zhejiang University.
[6]-Saffie, M. S., & Ramli, A. (2018, June). Bezier curve interpolation on road map by uniform, chordal and centripetal parameterization. Inia Conference Proceedings (Vol. 1974, No. 1). AIP Publishing.
[7]-Ibrahim, A., & Alberg ail, N. (2019). The Cubic Bezier-Ball Like curve with Shape Parameters. Journal of Alas Marya University: Basic and Applied Sciences,4(1).
[8]-Ahmed, I. A. A., Omar, A. H. A., & Ali, J. M. (2022). Arabic Font Design Using Quadratic Bezier-Like Curve. Journal of Pure & Applied Sciences,21(4), 50-56.
Authors
Copyright (c) 2023 Journal of Pure & Applied Sciences
This work is licensed under a Creative Commons Attribution 4.0 International License.
In a brief statement, the rights relate to the publication and distribution of research published in the journal of the University of Sebha where authors who have published their articles in the journal of the university of Sebha should how they can use or distribute their articles. They reserve all their rights to the published works, such as (but not limited to) the following rights:
- Copyright and other property rights related to the article, such as patent rights.
- Research published in the journal of the University of Sebha and used in its future works, including lectures and books, the right to reproduce articles for their own purposes, and the right to self-archive their articles.
- The right to enter a separate article, or for a non-exclusive distribution of their article with an acknowledgment of its initial publication in the journal of Sebha University.
Privacy Statement The names and e-mail addresses entered on the Sabha University Journal site will be used for the aforementioned purposes only and for which they were used.