Typical curve with G1 constraints for curve completion

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 appl...

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Detalles Bibliográficos
Autores principales: He, Chuan, Zhao, Gang, Wang, Aizeng, Hou, Fei, Cai, Zhanchuan, Li, Shaolin
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Singapore 2021
Materias:
Original Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8617089/
https://www.ncbi.nlm.nih.gov/pubmed/34825266
http://dx.doi.org/10.1186/s42492-021-00095-9
Descripción
Sumario: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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