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 ...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.展开更多
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/A3the Natural Science Foundation of China,Nos.61572056 and 61872347+1 种基金the Special Plan for the Development of Distinguished Young Scientists of ISCAS,No.Y8RC535018the Science and Technology Development Fund of Macao,No.0105/2020/A3.
文摘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.
