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
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author He, Chuan
Zhao, Gang
Wang, Aizeng
Hou, Fei
Cai, Zhanchuan
Li, Shaolin
author_facet He, Chuan
Zhao, Gang
Wang, Aizeng
Hou, Fei
Cai, Zhanchuan
Li, Shaolin
author_sort He, Chuan
collection PubMed
description 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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spelling pubmed-86170892021-12-10 Typical curve with G1 constraints for curve completion He, Chuan Zhao, Gang Wang, Aizeng Hou, Fei Cai, Zhanchuan Li, Shaolin Vis Comput Ind Biomed Art Original Article 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. Springer Singapore 2021-11-26 /pmc/articles/PMC8617089/ /pubmed/34825266 http://dx.doi.org/10.1186/s42492-021-00095-9 Text en © The Author(s) 2021 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Original Article
He, Chuan
Zhao, Gang
Wang, Aizeng
Hou, Fei
Cai, Zhanchuan
Li, Shaolin
Typical curve with G1 constraints for curve completion
title Typical curve with G1 constraints for curve completion
title_full Typical curve with G1 constraints for curve completion
title_fullStr Typical curve with G1 constraints for curve completion
title_full_unstemmed Typical curve with G1 constraints for curve completion
title_short Typical curve with G1 constraints for curve completion
title_sort typical curve with g1 constraints for curve completion
topic Original Article
url 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
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AT caizhanchuan typicalcurvewithg1constraintsforcurvecompletion
AT lishaolin typicalcurvewithg1constraintsforcurvecompletion

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