3D class A Bézier curves with monotone curvature

• Main Authors: Wang, Aizeng, He, Chuan, Zheng, Jianmin, Zhao, Gang
• Other Authors: School of Computer Science and Engineering
• Format: Article
• Language: English
• Published: 2023
• Subjects: Engineering::Computer science and engineering; Class A Curves; Bézier Curves
• Online Access: https://hdl.handle.net/10356/169021
• Institution: Nanyang Technological University

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...