Typical curve with G1 constraints for curve completion

被引：0
作者：
Chuan He
Gang Zhao
Aizeng Wang
Fei Hou
Zhanchuan Cai
Shaolin Li
机构：
[1] Beihang University,School of Mechanical Engineering and Automation
[2] Macau University of Science and Technology,State Key Laboratory of Lunar and Planetary Sciences
[3] Beihang University,State Key Laboratory of Virtual Reality Technology and Systems
[4] Institute of Software,State Key Laboratory of Computer Science
[5] Chinese Academy of Sciences,State Key Laboratory of Computer Science
[6] Institute of Software,Faculty of Information Technology
[7] University of Chinese Academy of Sciences,undefined
[8] Macau University of Science and Technology,undefined
来源：
Visual Computing for Industry, Biomedicine, and Art | / 4卷
关键词：
Typical curves; Monotonic curvature; G1 interpolation; Curve completion; Euler spiral;
D O I：
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中图分类号：
学科分类号：
摘要：
This paper presents a novel algorithm for planar G1 interpolation using typical curves with monotonic curvature. The G1 interpolation problem is converted into a system of nonlinear equations and sufficient conditions are provided to check whether there is a solution. The proposed algorithm was applied to a curve completion task. The main advantages of the proposed method are its simple construction, compatibility with NURBS, and monotonic curvature.
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