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Pertanika Journal of Science & Technology

Official journal of Universiti Putra Malaysia for scholarly work across science, engineering and related technologies.

e-ISSN 2231-8526 ISSN 0128-7680
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Research article

Gaussian and Mean Curvature of Biquintic Trigonometric Bézier Surface

Anis Solehah Mohd Kamarudzaman, Nurul Huda Mohamad Nasir and Md Yushalify Misro

Volume 30, Issue 2 April 2022 Published 1 April 2022
https://doi.org/10.47836/pjst.30.2.46
KeywordsBiquintic trigonometric Bézier surface, curvature analysis, Gaussian curvature, mean curvature
Article content

Abstract

Bézier curves and surfaces are very important in many areas, especially the manufacturing and aerospace. Surface inspection through visualisation is required to create high-quality surfaces and reduce unwanted products. The smoothness of the surface can be quantified using curvature. In this research, different surfaces types will be generated using the quintic trigonometric Bézier basis function. All the surfaces will be evaluated and analysed using Gaussian and mean curvature. Finally, curvature for each surface type will be mapped using colour-coded mapping and can be further characterised based on their positive and negative curvature values. This insight can also help the designer produce a smooth surface and develop quality products.
Supporting literature

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