Low level direct interpolation for parametric curves

We present an algorithm for the direct interpolation of parametric curves with a CNC machine -- The algorithm expresses parametric planar curves as sequences of discrete axes movements of BLU size of the machining tool -- Therefore, the curve C(u) is directly approximated by the pulse trains, hence...

Full description

Autores:
Ruíz, Óscar
Martínez, Adriana
Rendón, Elizabeth
Tipo de recurso:
Fecha de publicación:
1998
Institución:
Universidad EAFIT
Repositorio:
Repositorio EAFIT
Idioma:
eng
OAI Identifier:
oai:repository.eafit.edu.co:10784/9781
Acceso en línea:
http://hdl.handle.net/10784/9781
Palabra clave:
TEORÍA SPLINE
INTERPOLACIÓN (MATEMÁTICAS)
CURVAS
MÁQUINAS HERRAMIENTAS - CONTROL NUMÉRICO
ABSTRACCIÓN
Spline theory
Interpolation
Curves
Machine-tools - numerical control
Abstraction
Spline theory
Interpolation
Curves
Machine-tools - numerical control
Abstraction
Curvas de Bezier
Ecuaciones paramétricas
Rights
License
Acceso abierto
id REPOEAFIT2_26fab2413972bf64359b2a9a7bd17cf9
oai_identifier_str oai:repository.eafit.edu.co:10784/9781
network_acronym_str REPOEAFIT2
network_name_str Repositorio EAFIT
repository_id_str
dc.title.eng.fl_str_mv Low level direct interpolation for parametric curves
title Low level direct interpolation for parametric curves
spellingShingle Low level direct interpolation for parametric curves
TEORÍA SPLINE
INTERPOLACIÓN (MATEMÁTICAS)
CURVAS
MÁQUINAS HERRAMIENTAS - CONTROL NUMÉRICO
ABSTRACCIÓN
Spline theory
Interpolation
Curves
Machine-tools - numerical control
Abstraction
Spline theory
Interpolation
Curves
Machine-tools - numerical control
Abstraction
Curvas de Bezier
Ecuaciones paramétricas
title_short Low level direct interpolation for parametric curves
title_full Low level direct interpolation for parametric curves
title_fullStr Low level direct interpolation for parametric curves
title_full_unstemmed Low level direct interpolation for parametric curves
title_sort Low level direct interpolation for parametric curves
dc.creator.fl_str_mv Ruíz, Óscar
Martínez, Adriana
Rendón, Elizabeth
dc.contributor.department.spa.fl_str_mv Universidad EAFIT. Departamento de Ingeniería Mecánica
dc.contributor.author.none.fl_str_mv Ruíz, Óscar
Martínez, Adriana
Rendón, Elizabeth
dc.contributor.researchgroup.spa.fl_str_mv Laboratorio CAD/CAM/CAE
dc.subject.lemb.spa.fl_str_mv TEORÍA SPLINE
INTERPOLACIÓN (MATEMÁTICAS)
CURVAS
MÁQUINAS HERRAMIENTAS - CONTROL NUMÉRICO
ABSTRACCIÓN
topic TEORÍA SPLINE
INTERPOLACIÓN (MATEMÁTICAS)
CURVAS
MÁQUINAS HERRAMIENTAS - CONTROL NUMÉRICO
ABSTRACCIÓN
Spline theory
Interpolation
Curves
Machine-tools - numerical control
Abstraction
Spline theory
Interpolation
Curves
Machine-tools - numerical control
Abstraction
Curvas de Bezier
Ecuaciones paramétricas
dc.subject.keyword.spa.fl_str_mv Spline theory
Interpolation
Curves
Machine-tools - numerical control
Abstraction
dc.subject.keyword.eng.fl_str_mv Spline theory
Interpolation
Curves
Machine-tools - numerical control
Abstraction
dc.subject.keyword..keywor.fl_str_mv Curvas de Bezier
Ecuaciones paramétricas
description We present an algorithm for the direct interpolation of parametric curves with a CNC machine -- The algorithm expresses parametric planar curves as sequences of discrete axes movements of BLU size of the machining tool -- Therefore, the curve C(u) is directly approximated by the pulse trains, hence eliminating one source of the machining errors
publishDate 1998
dc.date.issued.none.fl_str_mv 1998
dc.date.available.none.fl_str_mv 2016-11-30T15:19:38Z
dc.date.accessioned.none.fl_str_mv 2016-11-30T15:19:38Z
dc.type.eng.fl_str_mv info:eu-repo/semantics/article
article
info:eu-repo/semantics/publishedVersion
publishedVersion
dc.type.coarversion.fl_str_mv http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.coar.fl_str_mv http://purl.org/coar/resource_type/c_6501
http://purl.org/coar/resource_type/c_2df8fbb1
dc.type.local.spa.fl_str_mv Artículo
status_str publishedVersion
dc.identifier.issn.none.fl_str_mv 0120-341X
dc.identifier.uri.none.fl_str_mv http://hdl.handle.net/10784/9781
identifier_str_mv 0120-341X
url http://hdl.handle.net/10784/9781
dc.language.iso.eng.fl_str_mv eng
language eng
dc.relation.ispartof.spa.fl_str_mv Revista Universidad EAFIT, Volume 34, Issue 110, pp 75-84
dc.relation.uri.none.fl_str_mv http://publicaciones.eafit.edu.co/index.php/revista-universidad-eafit/article/view/1117
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.local.spa.fl_str_mv Acceso abierto
rights_invalid_str_mv Acceso abierto
http://purl.org/coar/access_right/c_abf2
dc.format.eng.fl_str_mv application/pdf
dc.publisher.spa.fl_str_mv Fondo Editorial EAFIT
institution Universidad EAFIT
bitstream.url.fl_str_mv https://repository.eafit.edu.co/bitstreams/aee0284e-69c2-49d7-937f-0ff48bd992f6/download
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bitstream.checksumAlgorithm.fl_str_mv MD5
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repository.name.fl_str_mv Repositorio Institucional Universidad EAFIT
repository.mail.fl_str_mv repositorio@eafit.edu.co
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spelling 2016-11-30T15:19:38Z19982016-11-30T15:19:38Z0120-341Xhttp://hdl.handle.net/10784/9781We present an algorithm for the direct interpolation of parametric curves with a CNC machine -- The algorithm expresses parametric planar curves as sequences of discrete axes movements of BLU size of the machining tool -- Therefore, the curve C(u) is directly approximated by the pulse trains, hence eliminating one source of the machining errorsapplication/pdfengFondo Editorial EAFITRevista Universidad EAFIT, Volume 34, Issue 110, pp 75-84http://publicaciones.eafit.edu.co/index.php/revista-universidad-eafit/article/view/1117Acceso abiertohttp://purl.org/coar/access_right/c_abf2Low level direct interpolation for parametric curvesinfo:eu-repo/semantics/articlearticleinfo:eu-repo/semantics/publishedVersionpublishedVersionArtículohttp://purl.org/coar/version/c_970fb48d4fbd8a85http://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1TEORÍA SPLINEINTERPOLACIÓN (MATEMÁTICAS)CURVASMÁQUINAS HERRAMIENTAS - CONTROL NUMÉRICOABSTRACCIÓNSpline theoryInterpolationCurvesMachine-tools - numerical controlAbstractionSpline theoryInterpolationCurvesMachine-tools - numerical controlAbstractionCurvas de BezierEcuaciones paramétricasUniversidad EAFIT. Departamento de Ingeniería MecánicaRuíz, Óscara8d48cf1-e401-48e5-b392-bd3abbc52d1d-1Martínez, Adrianab8b90069-0e86-4f09-b67a-803cecb8313e-1Rendón, Elizabethd5668742-a837-4f44-93fc-94ba7cc7bbb9-1Laboratorio CAD/CAM/CAERevista Universidad EAFITRevista Universidad EAFIT341107584LICENSElicense.txtlicense.txttext/plain; charset=utf-82556https://repository.eafit.edu.co/bitstreams/aee0284e-69c2-49d7-937f-0ff48bd992f6/download76025f86b095439b7ac65b367055d40cMD51ORIGINALLowLevelDirectInterpolation.pdfLowLevelDirectInterpolation.pdfapplication/pdf51807https://repository.eafit.edu.co/bitstreams/80d5b3a1-b690-4809-9315-8c56ec3c4986/download810873525d42c7c00293861aeefa4577MD5210784/9781oai:repository.eafit.edu.co:10784/97812024-12-04 11:49:07.123open.accesshttps://repository.eafit.edu.coRepositorio Institucional Universidad EAFITrepositorio@eafit.edu.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