3D class A Bézier curves with monotone curvature

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...

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Bibliographic Details
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:
Online Access:https://hdl.handle.net/10356/169021
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Institution: Nanyang Technological University
Language: English