Offsets and front tire tracks to projective hedgehogs

There are some known properties on curves of constant width and Zindler curves and their relationship with offsets and front tire-track curves in convex geometry. In this work, a generalization of all these concepts and results to hedgehogs is presented. Discontinuity issues coming from the common p...

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Detalles Bibliográficos
Autor: Rochera, D.
Tipo de recurso: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2022
País:España
Institución:Basque Center for Applied Mathematics (BCAM)
Repositorio:BIRD. BCAM's Institutional Repository Data
OAI Identifier:oai:bird.bcamath.org:20.500.11824/1498
Acceso en línea:http://hdl.handle.net/20.500.11824/1498
https://doi.org/10.1016/j.cagd.2022.102135
Access Level:acceso embargado
Palabra clave:Hedgehogs
Offset curves
Support function
Constant width curves
Bicycle tire-track curves
Zindler curves
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spelling Offsets and front tire tracks to projective hedgehogsRochera, D.HedgehogsOffset curvesSupport functionConstant width curvesBicycle tire-track curvesZindler curvesThere are some known properties on curves of constant width and Zindler curves and their relationship with offsets and front tire-track curves in convex geometry. In this work, a generalization of all these concepts and results to hedgehogs is presented. Discontinuity issues coming from the common parametric definition of offsets and front track curves are solved with parameterizations by a support function. Finally, it is seen that there is a one-to-one correspondence between constant width hedgehogs of constant width and generalized Zindler curves.info202220222022info:eu-repo/semantics/articleinfo:eu-repo/semantics/submittedVersionapplication/pdfhttp://hdl.handle.net/20.500.11824/1498https://doi.org/10.1016/j.cagd.2022.102135reponame:BIRD. BCAM's Institutional Repository Datainstname:Basque Center for Applied Mathematics (BCAM)Ingléshttps://www.sciencedirect.com/science/article/abs/pii/S0167839622000711info:eu-repo/grantAgreement/MINECO//SEV-2017-0718Reconocimiento-NoComercial-CompartirIgual 3.0 Españahttp://creativecommons.org/licenses/by-nc-sa/3.0/es/info:eu-repo/semantics/embargoedAccessoai:bird.bcamath.org:20.500.11824/14982026-06-19T12:47:47Z
dc.title.none.fl_str_mv Offsets and front tire tracks to projective hedgehogs
title Offsets and front tire tracks to projective hedgehogs
spellingShingle Offsets and front tire tracks to projective hedgehogs
Rochera, D.
Hedgehogs
Offset curves
Support function
Constant width curves
Bicycle tire-track curves
Zindler curves
title_short Offsets and front tire tracks to projective hedgehogs
title_full Offsets and front tire tracks to projective hedgehogs
title_fullStr Offsets and front tire tracks to projective hedgehogs
title_full_unstemmed Offsets and front tire tracks to projective hedgehogs
title_sort Offsets and front tire tracks to projective hedgehogs
dc.creator.none.fl_str_mv Rochera, D.
author Rochera, D.
author_facet Rochera, D.
author_role author
dc.subject.none.fl_str_mv Hedgehogs
Offset curves
Support function
Constant width curves
Bicycle tire-track curves
Zindler curves
topic Hedgehogs
Offset curves
Support function
Constant width curves
Bicycle tire-track curves
Zindler curves
description There are some known properties on curves of constant width and Zindler curves and their relationship with offsets and front tire-track curves in convex geometry. In this work, a generalization of all these concepts and results to hedgehogs is presented. Discontinuity issues coming from the common parametric definition of offsets and front track curves are solved with parameterizations by a support function. Finally, it is seen that there is a one-to-one correspondence between constant width hedgehogs of constant width and generalized Zindler curves.
publishDate 2022
dc.date.none.fl_str_mv 2022
2022
2022
info
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/submittedVersion
format article
status_str submittedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/20.500.11824/1498
https://doi.org/10.1016/j.cagd.2022.102135
url http://hdl.handle.net/20.500.11824/1498
https://doi.org/10.1016/j.cagd.2022.102135
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv https://www.sciencedirect.com/science/article/abs/pii/S0167839622000711
info:eu-repo/grantAgreement/MINECO//SEV-2017-0718
dc.rights.none.fl_str_mv Reconocimiento-NoComercial-CompartirIgual 3.0 España
http://creativecommons.org/licenses/by-nc-sa/3.0/es/
info:eu-repo/semantics/embargoedAccess
rights_invalid_str_mv Reconocimiento-NoComercial-CompartirIgual 3.0 España
http://creativecommons.org/licenses/by-nc-sa/3.0/es/
eu_rights_str_mv embargoedAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:BIRD. BCAM's Institutional Repository Data
instname:Basque Center for Applied Mathematics (BCAM)
instname_str Basque Center for Applied Mathematics (BCAM)
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collection BIRD. BCAM's Institutional Repository Data
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