Automatic fitting of conical envelopes to free-form surfaces for flank CNC machining

We propose a new algorithm to detect patches of free-form surfaces that can be well approximated by envelopes of a rotational cone under a rigid body motion. These conical envelopes are a preferable choice from the manufacturing point of view as they are, by-definition, manufacturable by computer nu...

Descripción completa

Detalles Bibliográficos
Autores: Bo, P., Barton, M., Pottmann, H.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2017
País:España
Institución:Basque Center for Applied Mathematics (BCAM)
Repositorio:BIRD. BCAM's Institutional Repository Data
OAI Identifier:oai:bird.bcamath.org:20.500.11824/720
Acceso en línea:http://hdl.handle.net/20.500.11824/720
Access Level:acceso abierto
Palabra clave:5-axis CNC machining
flank milling
free-form surface
tangential movability
shape manufacturing
id ES_0f9196afbcce2ecb49ae2a8b8ed757b9
oai_identifier_str oai:bird.bcamath.org:20.500.11824/720
network_acronym_str ES
network_name_str España
repository_id_str
spelling Automatic fitting of conical envelopes to free-form surfaces for flank CNC machiningBo, P.Barton, M.Pottmann, H.5-axis CNC machiningflank millingfree-form surfacetangential movabilityshape manufacturingWe propose a new algorithm to detect patches of free-form surfaces that can be well approximated by envelopes of a rotational cone under a rigid body motion. These conical envelopes are a preferable choice from the manufacturing point of view as they are, by-definition, manufacturable by computer numerically controlled (CNC) machining using the efficient flank (peripheral) method with standard conical tools. Our geometric approach exploits multi-valued vector fields that consist of vectors in which the point-surface distance changes linearly. Integrating such vector fields gives rise to a family of integral curves, and, among them, linear segments that further serve as conical axes are quickly extracted. The lines that additionally admit tangential motion of the associated cone along the reference geometry form a set of candidate lines that are sequentially clustered and ordered to initialize motions of a rigid truncated cone. We validate our method by applying it on synthetic examples with exact envelopes, recovering correctly the exact solutions, and by testing it on several benchmark industrial datasets, detecting manufacturable conical envelope patches within fine tolerances.201720172017info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://hdl.handle.net/20.500.11824/720reponame:BIRD. BCAM's Institutional Repository Datainstname:Basque Center for Applied Mathematics (BCAM)Ingléshttp://www.sciencedirect.com/science/article/pii/S0010448517301197?via%3Dihubinfo:eu-repo/grantAgreement/MINECO//SEV-2013-0323info:eu-repo/grantAgreement/Gobierno Vasco/BERC/BERC.2014-2017Reconocimiento-NoComercial-CompartirIgual 3.0 Españahttp://creativecommons.org/licenses/by-nc-sa/3.0/es/info:eu-repo/semantics/openAccessoai:bird.bcamath.org:20.500.11824/7202026-06-19T12:47:47Z
dc.title.none.fl_str_mv Automatic fitting of conical envelopes to free-form surfaces for flank CNC machining
title Automatic fitting of conical envelopes to free-form surfaces for flank CNC machining
spellingShingle Automatic fitting of conical envelopes to free-form surfaces for flank CNC machining
Bo, P.
5-axis CNC machining
flank milling
free-form surface
tangential movability
shape manufacturing
title_short Automatic fitting of conical envelopes to free-form surfaces for flank CNC machining
title_full Automatic fitting of conical envelopes to free-form surfaces for flank CNC machining
title_fullStr Automatic fitting of conical envelopes to free-form surfaces for flank CNC machining
title_full_unstemmed Automatic fitting of conical envelopes to free-form surfaces for flank CNC machining
title_sort Automatic fitting of conical envelopes to free-form surfaces for flank CNC machining
dc.creator.none.fl_str_mv Bo, P.
Barton, M.
Pottmann, H.
author Bo, P.
author_facet Bo, P.
Barton, M.
Pottmann, H.
author_role author
author2 Barton, M.
Pottmann, H.
author2_role author
author
dc.subject.none.fl_str_mv 5-axis CNC machining
flank milling
free-form surface
tangential movability
shape manufacturing
topic 5-axis CNC machining
flank milling
free-form surface
tangential movability
shape manufacturing
description We propose a new algorithm to detect patches of free-form surfaces that can be well approximated by envelopes of a rotational cone under a rigid body motion. These conical envelopes are a preferable choice from the manufacturing point of view as they are, by-definition, manufacturable by computer numerically controlled (CNC) machining using the efficient flank (peripheral) method with standard conical tools. Our geometric approach exploits multi-valued vector fields that consist of vectors in which the point-surface distance changes linearly. Integrating such vector fields gives rise to a family of integral curves, and, among them, linear segments that further serve as conical axes are quickly extracted. The lines that additionally admit tangential motion of the associated cone along the reference geometry form a set of candidate lines that are sequentially clustered and ordered to initialize motions of a rigid truncated cone. We validate our method by applying it on synthetic examples with exact envelopes, recovering correctly the exact solutions, and by testing it on several benchmark industrial datasets, detecting manufacturable conical envelope patches within fine tolerances.
publishDate 2017
dc.date.none.fl_str_mv 2017
2017
2017
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/20.500.11824/720
url http://hdl.handle.net/20.500.11824/720
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv http://www.sciencedirect.com/science/article/pii/S0010448517301197?via%3Dihub
info:eu-repo/grantAgreement/MINECO//SEV-2013-0323
info:eu-repo/grantAgreement/Gobierno Vasco/BERC/BERC.2014-2017
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/openAccess
rights_invalid_str_mv Reconocimiento-NoComercial-CompartirIgual 3.0 España
http://creativecommons.org/licenses/by-nc-sa/3.0/es/
eu_rights_str_mv openAccess
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)
reponame_str BIRD. BCAM's Institutional Repository Data
collection BIRD. BCAM's Institutional Repository Data
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869403461268799488
score 15,300719

Similares en LA Referencia