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Gaussian and Mean Curvature of Biquintic Trigonometric Bézier Surface

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

Pertanika Journal of Tropical Agricultural Science, Volume 30, Issue 2, April 2022

DOI: https://doi.org/10.47836/pjst.30.2.46

Keywords: Biquintic trigonometric Bézier surface, curvature analysis, Gaussian curvature, mean curvature

Published on: 1 April 2022

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.

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ISSN 1511-3701

e-ISSN 2231-8542

Article ID

JST-3260-2021

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