Extending Marching Cubes with Adaptative Methods to obtain more accurate iso-surfaces

This work proposes an extension of the Marching Cubes algorithm, where the goal is to represent implicit functions with higher accuracy using the same grid size -- The proposed algorithm displaces the vertices of the cubes iteratively until the stop condition is achieved -- After each iteration, the...

Full description

Autores:
Congote, John
Moreno, Aitor
Barandiaran, Iñigo
Barandiaran, Javier
Ruíz, Oscar
Tipo de recurso:
Fecha de publicación:
2010
Institución:
Universidad EAFIT
Repositorio:
Repositorio EAFIT
Idioma:
eng
OAI Identifier:
oai:repository.eafit.edu.co:10784/9794
Acceso en línea:
http://hdl.handle.net/10784/9794
Palabra clave:
MÉTODOS ITERATIVOS (MATEMÁTICAS)
FUNCIONES VECTORIALES
GRÁFICOS POR COMPUTADOR
FUNCIONES ALGEBRAICAS
RESONANCIA
Iterative methods (mathematics)
Computer graphics
Algebraic functions
Resonance
Nube de puntos
Iso-superficie
Funciones escalares
Teoría de Discretización
Medida de Hausdorff
Rights
License
Acceso cerrado
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oai_identifier_str oai:repository.eafit.edu.co:10784/9794
network_acronym_str REPOEAFIT2
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spelling 2016-11-30T15:57:09Z20102016-11-30T15:57:09Z@incollection{2010_Congote_Extending, year={2010}, isbn={978-3-642-11839-5}, booktitle={Computer Vision, Imaging and Computer Graphics. Theory and Applications}, volume={68}, series={Communications in Computer and Information Science}, editor={Ranchordas, A. and Pereira, J. and Araujo, H. and Tavares, J.}, doi={10.1007/978-3-642-11840-1_3}, title={Extending Marching Cubes with Adaptative Methods to Obtain More Accurate Iso-surfaces}, url={http://dx.doi.org/10.1007/978-3-642-11840-1_3}, publisher={Springer Berlin Heidelberg}, author={Congote, John and Moreno, Aitor and Barandiaran, Inigo and Barandiaran, Javier and Ruiz, Oscar}, pages={35-44}, language={English} }http://hdl.handle.net/10784/979410.1007/978-3-642-11840-1_3This work proposes an extension of the Marching Cubes algorithm, where the goal is to represent implicit functions with higher accuracy using the same grid size -- The proposed algorithm displaces the vertices of the cubes iteratively until the stop condition is achieved -- After each iteration, the difference between the implicit and the explicit representations is reduced, and when the algorithm finishes, the implicit surface representation using the modified cubical grid is more accurate, as the results shall confirm -- The proposed algorithm corrects some topological problems that may appear in the discretization process using the original gridp.35-44application/pdfengSpringer Berlin HeidelbergComputer Vision, Imaging and Computer Graphics. Theory and Applicationshttps://doi.org/10.1007/978-3-642-11840-1_3Extending Marching Cubes with Adaptative Methods to obtain more accurate iso-surfacesinfo:eu-repo/semantics/bookPartbookPartinfo:eu-repo/semantics/publishedVersionpublishedVersionCapítulo o parte de un libroObra publicadahttp://purl.org/coar/version/c_970fb48d4fbd8a85http://purl.org/coar/resource_type/c_3248Acceso cerradohttp://purl.org/coar/access_right/c_14cbMÉTODOS ITERATIVOS (MATEMÁTICAS)FUNCIONES VECTORIALESGRÁFICOS POR COMPUTADORFUNCIONES ALGEBRAICASRESONANCIAIterative methods (mathematics)Computer graphicsAlgebraic functionsResonanceNube de puntosIso-superficieFunciones escalaresTeoría de DiscretizaciónMedida de HausdorffUniversidad EAFIT. Departamento de Ingeniería MecánicaCongote, JohnMoreno, AitorBarandiaran, IñigoBarandiaran, JavierRuíz, OscarLaboratorio CAD/CAM/CAELICENSElicense.txtlicense.txttext/plain; charset=utf-82556https://repository.eafit.edu.co/bitstreams/d170a76a-f1a4-4748-b11b-771dca5082c6/download76025f86b095439b7ac65b367055d40cMD51ORIGINALExtending_Marching_Cubes_with_Adaptative_Methods_to_Obtain_More_Accurate_Iso-surfaces.pdfExtending_Marching_Cubes_with_Adaptative_Methods_to_Obtain_More_Accurate_Iso-surfaces.pdfapplication/pdf814047https://repository.eafit.edu.co/bitstreams/156d78ea-2902-4dac-a76f-428c3d1ac4d7/download220e153a857f53d6aeebe25f32897ba8MD5210784/9794oai:repository.eafit.edu.co:10784/97942021-12-03 11:12:38.996restrictedhttps://repository.eafit.edu.coRepositorio Institucional Universidad EAFITrepositorio@eafit.edu.co
dc.title.eng.fl_str_mv Extending Marching Cubes with Adaptative Methods to obtain more accurate iso-surfaces
title Extending Marching Cubes with Adaptative Methods to obtain more accurate iso-surfaces
spellingShingle Extending Marching Cubes with Adaptative Methods to obtain more accurate iso-surfaces
MÉTODOS ITERATIVOS (MATEMÁTICAS)
FUNCIONES VECTORIALES
GRÁFICOS POR COMPUTADOR
FUNCIONES ALGEBRAICAS
RESONANCIA
Iterative methods (mathematics)
Computer graphics
Algebraic functions
Resonance
Nube de puntos
Iso-superficie
Funciones escalares
Teoría de Discretización
Medida de Hausdorff
title_short Extending Marching Cubes with Adaptative Methods to obtain more accurate iso-surfaces
title_full Extending Marching Cubes with Adaptative Methods to obtain more accurate iso-surfaces
title_fullStr Extending Marching Cubes with Adaptative Methods to obtain more accurate iso-surfaces
title_full_unstemmed Extending Marching Cubes with Adaptative Methods to obtain more accurate iso-surfaces
title_sort Extending Marching Cubes with Adaptative Methods to obtain more accurate iso-surfaces
dc.creator.fl_str_mv Congote, John
Moreno, Aitor
Barandiaran, Iñigo
Barandiaran, Javier
Ruíz, Oscar
dc.contributor.department.spa.fl_str_mv Universidad EAFIT. Departamento de Ingeniería Mecánica
dc.contributor.author.none.fl_str_mv Congote, John
Moreno, Aitor
Barandiaran, Iñigo
Barandiaran, Javier
Ruíz, Oscar
dc.contributor.researchgroup.spa.fl_str_mv Laboratorio CAD/CAM/CAE
dc.subject.lemb.spa.fl_str_mv MÉTODOS ITERATIVOS (MATEMÁTICAS)
FUNCIONES VECTORIALES
GRÁFICOS POR COMPUTADOR
FUNCIONES ALGEBRAICAS
RESONANCIA
topic MÉTODOS ITERATIVOS (MATEMÁTICAS)
FUNCIONES VECTORIALES
GRÁFICOS POR COMPUTADOR
FUNCIONES ALGEBRAICAS
RESONANCIA
Iterative methods (mathematics)
Computer graphics
Algebraic functions
Resonance
Nube de puntos
Iso-superficie
Funciones escalares
Teoría de Discretización
Medida de Hausdorff
dc.subject.keyword.eng.fl_str_mv Iterative methods (mathematics)
Computer graphics
Algebraic functions
Resonance
dc.subject.keyword.spa.fl_str_mv Nube de puntos
Iso-superficie
Funciones escalares
Teoría de Discretización
Medida de Hausdorff
description This work proposes an extension of the Marching Cubes algorithm, where the goal is to represent implicit functions with higher accuracy using the same grid size -- The proposed algorithm displaces the vertices of the cubes iteratively until the stop condition is achieved -- After each iteration, the difference between the implicit and the explicit representations is reduced, and when the algorithm finishes, the implicit surface representation using the modified cubical grid is more accurate, as the results shall confirm -- The proposed algorithm corrects some topological problems that may appear in the discretization process using the original grid
publishDate 2010
dc.date.issued.none.fl_str_mv 2010
dc.date.available.none.fl_str_mv 2016-11-30T15:57:09Z
dc.date.accessioned.none.fl_str_mv 2016-11-30T15:57:09Z
dc.type.eng.fl_str_mv info:eu-repo/semantics/bookPart
bookPart
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_3248
dc.type.local.spa.fl_str_mv Capítulo o parte de un libro
dc.type.hasVersion.spa.fl_str_mv Obra publicada
status_str publishedVersion
dc.identifier.citation.spa.fl_str_mv @incollection{2010_Congote_Extending, year={2010}, isbn={978-3-642-11839-5}, booktitle={Computer Vision, Imaging and Computer Graphics. Theory and Applications}, volume={68}, series={Communications in Computer and Information Science}, editor={Ranchordas, A. and Pereira, J. and Araujo, H. and Tavares, J.}, doi={10.1007/978-3-642-11840-1_3}, title={Extending Marching Cubes with Adaptative Methods to Obtain More Accurate Iso-surfaces}, url={http://dx.doi.org/10.1007/978-3-642-11840-1_3}, publisher={Springer Berlin Heidelberg}, author={Congote, John and Moreno, Aitor and Barandiaran, Inigo and Barandiaran, Javier and Ruiz, Oscar}, pages={35-44}, language={English} }
dc.identifier.uri.none.fl_str_mv http://hdl.handle.net/10784/9794
dc.identifier.doi.none.fl_str_mv 10.1007/978-3-642-11840-1_3
identifier_str_mv @incollection{2010_Congote_Extending, year={2010}, isbn={978-3-642-11839-5}, booktitle={Computer Vision, Imaging and Computer Graphics. Theory and Applications}, volume={68}, series={Communications in Computer and Information Science}, editor={Ranchordas, A. and Pereira, J. and Araujo, H. and Tavares, J.}, doi={10.1007/978-3-642-11840-1_3}, title={Extending Marching Cubes with Adaptative Methods to Obtain More Accurate Iso-surfaces}, url={http://dx.doi.org/10.1007/978-3-642-11840-1_3}, publisher={Springer Berlin Heidelberg}, author={Congote, John and Moreno, Aitor and Barandiaran, Inigo and Barandiaran, Javier and Ruiz, Oscar}, pages={35-44}, language={English} }
10.1007/978-3-642-11840-1_3
url http://hdl.handle.net/10784/9794
dc.language.iso.spa.fl_str_mv eng
language eng
dc.relation.ispartof.spa.fl_str_mv Computer Vision, Imaging and Computer Graphics. Theory and Applications
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