Typical curve with G1 constraints for curve completion

Abstract 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...

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Autores principales:	Chuan He, Gang Zhao, Aizeng Wang, Fei Hou, Zhanchuan Cai, Shaolin Li
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2021
Materias:	Typical curves Monotonic curvature G1 interpolation Curve completion Euler spiral Drawing. Design. Illustration NC1-1940 Computer applications to medicine. Medical informatics R858-859.7 Computer software QA76.75-76.765
Acceso en línea:	https://doaj.org/article/d71cac7b977f481185b6f798cd0aa1a4
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spelling	oai:doaj.org-article:d71cac7b977f481185b6f798cd0aa1a42021-11-28T12:08:38ZTypical curve with G1 constraints for curve completion10.1186/s42492-021-00095-92524-4442https://doaj.org/article/d71cac7b977f481185b6f798cd0aa1a42021-11-01T00:00:00Zhttps://doi.org/10.1186/s42492-021-00095-9https://doaj.org/toc/2524-4442Abstract 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.Chuan HeGang ZhaoAizeng WangFei HouZhanchuan CaiShaolin LiSpringerOpenarticleTypical curvesMonotonic curvatureG1 interpolationCurve completionEuler spiralDrawing. Design. IllustrationNC1-1940Computer applications to medicine. Medical informaticsR858-859.7Computer softwareQA76.75-76.765ENVisual Computing for Industry, Biomedicine, and Art, Vol 4, Iss 1, Pp 1-12 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Typical curves Monotonic curvature G1 interpolation Curve completion Euler spiral Drawing. Design. Illustration NC1-1940 Computer applications to medicine. Medical informatics R858-859.7 Computer software QA76.75-76.765
spellingShingle	Typical curves Monotonic curvature G1 interpolation Curve completion Euler spiral Drawing. Design. Illustration NC1-1940 Computer applications to medicine. Medical informatics R858-859.7 Computer software QA76.75-76.765 Chuan He Gang Zhao Aizeng Wang Fei Hou Zhanchuan Cai Shaolin Li Typical curve with G1 constraints for curve completion
description	Abstract 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.
format	article
author	Chuan He Gang Zhao Aizeng Wang Fei Hou Zhanchuan Cai Shaolin Li
author_facet	Chuan He Gang Zhao Aizeng Wang Fei Hou Zhanchuan Cai Shaolin Li
author_sort	Chuan He
title	Typical curve with G1 constraints for curve completion
title_short	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_sort	typical curve with g1 constraints for curve completion
publisher	SpringerOpen
publishDate	2021
url	https://doaj.org/article/d71cac7b977f481185b6f798cd0aa1a4
work_keys_str_mv	AT chuanhe typicalcurvewithg1constraintsforcurvecompletion AT gangzhao typicalcurvewithg1constraintsforcurvecompletion AT aizengwang typicalcurvewithg1constraintsforcurvecompletion AT feihou typicalcurvewithg1constraintsforcurvecompletion AT zhanchuancai typicalcurvewithg1constraintsforcurvecompletion AT shaolinli typicalcurvewithg1constraintsforcurvecompletion
_version_	1718408227811491840

Typical curve with G1 constraints for curve completion

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