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：
暂无
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.
引用
收藏
相关论文
共 91 条
[1]  
Walton DJ(2009)G1 interpolation with a single Cornu spiral segment J Comput Appl Math 223 86-96
[2]  
Meek DS(2003)Euler spiral for shape completion Int J Comput Vis 54 159-182
[3]  
Kimia BB(2012)Euler arc splines for curve completion Comput Graph 36 642-650
[4]  
Frankel I(2016)A computational model of topological and geometric recovery for visual curve completion Comput Vis Media 2 329-342
[5]  
Popescu AM(2012)A tangent bundle theory for visual curve completion IEEE Trans Pattern Anal Mach Intell 34 1263-1280
[6]  
Zhou HL(2015)Tangent bundle elastica and computer vision IEEE Trans Pattern Anal Mach Intell 37 161-174
[7]  
Zheng JM(1989)Curvature and the fairness of curves and surfaces IEEE Comput Graph Appl 9 52-57
[8]  
Yang XN(2012)3D Euler spirals for 3D curve completion Comput Geom 45 115-126
[9]  
Lin HW(2011)The natural 3D spiral Comput Graph Forum 30 237-246
[10]  
Wang ZH(2014)Interpolation of two-dimensional curves with Euler spirals J Comput Appl Math 261 320-332
12345678910