Exploring the Effect of Shape Parameters on Font Design Using Rational Quadratic Trigonometric Curves
DOI:
https://doi.org/10.24191/jcrinn.v10i2.541Keywords:
Rational Quadratic Trigonometric, Shape Parameter, Font design, Interactive toolAbstract
This study investigates the impact of shape parameters on font contour design using rational quadratic trigonometric Bézier (RQTB) curves. By varying parameters (m, n) and weight (v), the research evaluates contour accuracy through pointwise deviation analysis and computational efficiency. The configuration (m = 0.5, n = -0.5, v = 1) achieved the lowest RMSE and CPU time, indicating optimal performance. An interactive tool was also developed to support real-time parameter adjustment. The results demonstrate that carefully tuned shape parameters enhance both visual fidelity and efficiency, making RQTB curves practical for typography and related design applications.
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Ahmad, A., & Gobithaasan, R. (2018). Rational quadratic Bézier spirals. Sains Malaysiana, 47(9), 2205–2211. https://doi.org/10.17576/jsm-2018-4709-31
Ahmed, I. A. A., Omar, A. H. A., & Ali, J. M. (2022). Arabic font design using quadratic Bézier-like curve. Journal of Pure & Applied Sciences, 21(4), 50–56.
Bashir, U., Abbas, M., Abd Majid, A., & Ali, J. M. (2012, July). The rational quadratic trigonometric Bézier curve with two shape parameters. In 2012 Ninth International Conference on Computer Graphics, Imaging and Visualization (pp. 31–36). IEEE. https://doi.org/10.1109/CGIV.2012.21
Ceylan, A. Y., Turhan, T., & Tukel, G. O. (2021). On the geometry of rational Bézier curves. Honam Mathematical Journal, 43(1), 88–99. https://doi.org/10.5831/HMJ.2021.43.1.88
Dube, M., & Gupta, N. (2022). Font design through RQT Bézier curve using shape parameters. In Advances in Mathematical Modelling, Applied Analysis and Computation: Proceedings of ICMMAAC 2021 (pp. 319–335). Springer. https://doi.org/10.1007/978-981-16-8641-1_23
Munir, N. A. A. A., Hadi, N. A., Nasir, M. A. S., & Halim, S. A. (2024, January). Modelling fruit outline using cubic trigonometric spline. In AIP Conference Proceedings (Vol. 2905, No. 1). AIP Publishing. https://doi.org/10.1063/5.0172468
Omar, A., Ahmed, I., & Abuzaiyan, F. (2023). The quadratic trigonometric Bézier-like curve with two shape parameters. Journal of Pure & Applied Sciences, 22(3), 215–221.
Salomon, D. (2006). Curves and surfaces for computer graphics. Springer. https://doi.org/10.1007/0-387-28452-4
Sánchez-Reyes, J. (2022). The uniqueness of the rational Bézier polygon. Computer Aided Geometric Design, 96, 102118. https://doi.org/10.1016/j.cagd.2023.102266
Sánchez-Reyes, J. (2023). Shape factors and shoulder points for shape control of rational Bézier curves. Computer-Aided Design, 157, 103477. https://doi.org/10.1016/j.cad.2023.103477
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Copyright (c) 2025 Noor Khairiah Razali, Nur Ain Fitrah Azhari, Siti Musliha Nor-Al-Din, Nursyazni Mohamad Sukri (Author)

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