Typical curve with G1 constraints for curve completion

Author:

He Chuan,Zhao Gang,Wang Aizeng,Hou Fei,Cai Zhanchuan,Li Shaolin

Abstract

AbstractThis 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.

Funder

opening fund of State Key Laboratory of Lunar and Planetary Sciences

Publisher

Springer Science and Business Media LLC

Subject

Computer Graphics and Computer-Aided Design,Computer Vision and Pattern Recognition,Visual Arts and Performing Arts,Medicine (miscellaneous),Computer Science (miscellaneous),Software

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