Typical curve with G1 constraints for curve completion

作     者：Chuan He Gang Zhao Aizeng Wang Fei Hou Zhanchuan Cai Shaolin Li 

作者机构：School of Mechanical Engineering and AutomationBeihang UniversityBeijing 100191China State Key Laboratory of Lunar and Planetary SciencesMacao University of Science and TechnologyMacao 999078China State Key Laboratory of Virtual Reality Technology and SystemsBeihang UniversityBeijing 100191China State Key Laboratory of Computer ScienceInstitute of SoftwareChinese Academy of SciencesBeijing 100190China State Key Laboratory of Computer ScienceInstitute of SoftwareUniversity of Chinese Academy of SciencesBeijing 100049China Faculty of Information TechnologyMacao University of Science and TechnologyMacao 999078China 

出 版 物：《Visual Computing for Industry,Biomedicine,and Art》 (工医艺的可视计算（英文）)

年 卷 期：2021年第4卷第1期

页      面：283-294页

核心收录：

学科分类：08[工学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

基　　金：This work was supported by opening fund of State Key Laboratory of Lunar and Planetary Sciences(Macao University of Science and Technology),No.119/2017/A3 the Natural Science Foundation of China,Nos.61572056 and 61872347 the Special Plan for the Development of Distinguished Young Scientists of ISCAS,No.Y8RC535018 the Science and Technology Development Fund of Macao,No.0105/2020/A3 

主　　题：Typical curves Monotonic curvature G1 interpolation Curve completion Euler spiral 

摘      要：This paper presents a novel algorithm for planar G1 interpolation using typical curves with monotonic *** G1 interpolation problem is converted into a system of nonlinear equations and sufficient conditions are provided to check whether there is a *** proposed algorithm was applied to a curve completion *** main advantages of the proposed method are its simple construction,compatibility with NURBS,and monotonic curvature.