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<p>The Bézier curve, a fundamental element in Computer-Aided Geometric Design (CAGD) and computer graphics, has evolved into a highly versatile tool for digital modeling and animation. This study investigates the application of quintic trigonometric Bézier curves in generating adjustable surfaces for computer graphics. By systematically manipulating shape parameters, we aim to elucidate the relationship between these parameters and surface morphology. Our analysis extends beyond visual inspection, employing Gaussian curvature, mean curvature, and Shape Index-Curvedness (SC Curvature) as metrics to examine the geometric properties of the surfaces. This study demonstrates the surface analysis using algebraic invariants of the parametric surface, which provides novel insights compared to traditional differential geometry methods. Numerical data are meticulously curated and presented through comprehensive three-dimensional plot displays, serving as a foundation for our investigation. These findings enable designers to create more realistic and high-quality digital models. Our study offers a collection of insights that will assist researchers, engineers, and designers in navigating the complexities of surface curvature analysis and adjustability within the realm of computer graphics.</p>

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Feature extraction and analysis of adjustable surfaces in computer graphics

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年3月31日

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  • Anis Solehah Mohd Kamarudzaman,
  • Md Yushalify Misro,
  • Kenjiro T. Miura

摘要

The Bézier curve, a fundamental element in Computer-Aided Geometric Design (CAGD) and computer graphics, has evolved into a highly versatile tool for digital modeling and animation. This study investigates the application of quintic trigonometric Bézier curves in generating adjustable surfaces for computer graphics. By systematically manipulating shape parameters, we aim to elucidate the relationship between these parameters and surface morphology. Our analysis extends beyond visual inspection, employing Gaussian curvature, mean curvature, and Shape Index-Curvedness (SC Curvature) as metrics to examine the geometric properties of the surfaces. This study demonstrates the surface analysis using algebraic invariants of the parametric surface, which provides novel insights compared to traditional differential geometry methods. Numerical data are meticulously curated and presented through comprehensive three-dimensional plot displays, serving as a foundation for our investigation. These findings enable designers to create more realistic and high-quality digital models. Our study offers a collection of insights that will assist researchers, engineers, and designers in navigating the complexities of surface curvature analysis and adjustability within the realm of computer graphics.