3D class A Bézier curves with monotone curvature

• Main Authors: Wang, Aizeng, He, Chuan, Zheng, Jianmin, Zhao, Gang
• 其他作者: School of Computer Science and Engineering
• 格式: Article
• 語言: English
• 出版: 2023
• 主題: Engineering::Computer science and engineering; Class A Curves; Bézier Curves
• 在線閱讀: https://hdl.handle.net/10356/169021

This paper introduces a special class of 3D Bézier curves that are defined by their degree, a starting point, the first leg of their control polygons, and a 3D affine transformation composing of a uniform scaling and a rotation. We present new formulas for the curvature of such Bézier curves and bas...