Compendium of publications on: differential operators on manifolds for CAD CAM CAE and computer graphics
This Doctoral Thesis develops novel articulations of Differential Operators on Manifolds for applications on Computer Aided Design, Manufacture and Computer Graphics, as follows: (1) Mesh Parameterization and Segmentation. Development and application of Laplace-Beltrami, Hessian, Geodesic and Curvat...
- Autores:
-
Mejía Parra, Daniel
- Tipo de recurso:
- Fecha de publicación:
- 2020
- Institución:
- Universidad EAFIT
- Repositorio:
- Repositorio EAFIT
- Idioma:
- spa
- OAI Identifier:
- oai:repository.eafit.edu.co:10784/17067
- Acceso en línea:
- http://hdl.handle.net/10784/17067
- Palabra clave:
- CAD CAM CAE
Geometría computacional
Operadores diferenciales
Inspección dimensional
Transferencia de calor
Maquinado laser
DISEÑO EN INGENIERÍA
DISEÑO CON AYUDA DE COMPUTADOR
ECUACIÓN DEL CALOR
CÁLCULO DE VARIACIONES
CAD CAM CAE
Computational geometry
Differential operators
Computer graphics
Mesh parameterization
Mesh segmentation
Heat transfer
Laser machining
Dimensional inspection
- Rights
- License
- Acceso abierto
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dc.title.spa.fl_str_mv |
Compendium of publications on: differential operators on manifolds for CAD CAM CAE and computer graphics |
title |
Compendium of publications on: differential operators on manifolds for CAD CAM CAE and computer graphics |
spellingShingle |
Compendium of publications on: differential operators on manifolds for CAD CAM CAE and computer graphics CAD CAM CAE Geometría computacional Operadores diferenciales Inspección dimensional Transferencia de calor Maquinado laser DISEÑO EN INGENIERÍA DISEÑO CON AYUDA DE COMPUTADOR ECUACIÓN DEL CALOR CÁLCULO DE VARIACIONES CAD CAM CAE Computational geometry Differential operators Computer graphics Mesh parameterization Mesh segmentation Heat transfer Laser machining Dimensional inspection |
title_short |
Compendium of publications on: differential operators on manifolds for CAD CAM CAE and computer graphics |
title_full |
Compendium of publications on: differential operators on manifolds for CAD CAM CAE and computer graphics |
title_fullStr |
Compendium of publications on: differential operators on manifolds for CAD CAM CAE and computer graphics |
title_full_unstemmed |
Compendium of publications on: differential operators on manifolds for CAD CAM CAE and computer graphics |
title_sort |
Compendium of publications on: differential operators on manifolds for CAD CAM CAE and computer graphics |
dc.creator.fl_str_mv |
Mejía Parra, Daniel |
dc.contributor.advisor.spa.fl_str_mv |
Ruiz Salguero, Oscar Eduardo Posada Velásquez, Jorge León |
dc.contributor.author.none.fl_str_mv |
Mejía Parra, Daniel |
dc.subject.spa.fl_str_mv |
CAD CAM CAE Geometría computacional Operadores diferenciales Inspección dimensional Transferencia de calor Maquinado laser |
topic |
CAD CAM CAE Geometría computacional Operadores diferenciales Inspección dimensional Transferencia de calor Maquinado laser DISEÑO EN INGENIERÍA DISEÑO CON AYUDA DE COMPUTADOR ECUACIÓN DEL CALOR CÁLCULO DE VARIACIONES CAD CAM CAE Computational geometry Differential operators Computer graphics Mesh parameterization Mesh segmentation Heat transfer Laser machining Dimensional inspection |
dc.subject.lemb.spa.fl_str_mv |
DISEÑO EN INGENIERÍA DISEÑO CON AYUDA DE COMPUTADOR ECUACIÓN DEL CALOR CÁLCULO DE VARIACIONES |
dc.subject.keyword.spa.fl_str_mv |
CAD CAM CAE Computational geometry Differential operators Computer graphics Mesh parameterization Mesh segmentation Heat transfer Laser machining Dimensional inspection |
description |
This Doctoral Thesis develops novel articulations of Differential Operators on Manifolds for applications on Computer Aided Design, Manufacture and Computer Graphics, as follows: (1) Mesh Parameterization and Segmentation. Development and application of Laplace-Beltrami, Hessian, Geodesic and Curvature operators for topology and geometry – driven segmentations and parameterizations of 2-manifold triangular meshes. Applications in Reverse Engineering, Manufacturing and Medicine. (2) Computing of Laser-driven Temperature Maps in thin plates. Spectral domain - based analytic solutions of the transient, non-homogeneous heat equation for simulation of temperature maps in multi-laser heated thin plates, modeled as 2-manifolds plus thickness. (3) Real-time estimation of dimensional compliance of hot out-of-forge workpieces. A Special Orthogonal SO(3) transformation between 2-manifolds is found, which enables a distance operator between 2-manifolds in R^3 (or m-manifolds in R^n). This process instruments the real-time assessment of dimensional compliance of hot workpieces, in the factory floor shop. (4) Slicing or Level-Set computation for 2-manifold triangular meshes in Additive Manufacturing. Development of a classification of non-degenerate (i.e. non-singular Hessian) and degenerate (i.e. singular Hessian) critical points of non-Morse functions on 2-manifold objects, followed by computation of level sets for Additive Manufacturing. Most of the aforementioned contributions have been screened and accepted by the international scientific community (and published). Non-published material corresponds to confidential developments which are commercially exploited by the sponsors and therefore banned from dissemination. |
publishDate |
2020 |
dc.date.available.none.fl_str_mv |
2020-07-21T19:44:02Z |
dc.date.issued.none.fl_str_mv |
2020 |
dc.date.accessioned.none.fl_str_mv |
2020-07-21T19:44:02Z |
dc.type.eng.fl_str_mv |
doctoralThesis info:eu-repo/semantics/doctoralThesis |
dc.type.coar.fl_str_mv |
http://purl.org/coar/resource_type/c_db06 |
dc.type.local.spa.fl_str_mv |
Tesis Doctoral |
dc.type.hasVersion.eng.fl_str_mv |
acceptedVersion |
dc.identifier.uri.none.fl_str_mv |
http://hdl.handle.net/10784/17067 |
dc.identifier.ddc.none.fl_str_mv |
515.243 M516 |
url |
http://hdl.handle.net/10784/17067 |
identifier_str_mv |
515.243 M516 |
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spa |
language |
spa |
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http://purl.org/coar/access_right/c_abf2 |
dc.rights.local.spa.fl_str_mv |
Acceso abierto |
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Acceso abierto http://purl.org/coar/access_right/c_abf2 |
dc.format.eng.fl_str_mv |
application/pdf |
dc.coverage.spatial.eng.fl_str_mv |
Medellín de: Lat: 06 15 00 N degrees minutes Lat: 6.2500 decimal degrees Long: 075 36 00 W degrees minutes Long: -75.6000 decimal degrees |
dc.publisher.spa.fl_str_mv |
Universidad EAFIT |
dc.publisher.program.spa.fl_str_mv |
Doctorado en Ingeniería |
dc.publisher.department.spa.fl_str_mv |
Escuela de Ingeniería |
dc.publisher.place.spa.fl_str_mv |
Medellín |
institution |
Universidad EAFIT |
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Ruiz Salguero, Oscar EduardoPosada Velásquez, Jorge LeónMejía Parra, DanielDoctor in EngineeringVicomtech Foundation, Basque Research and Technology Alliance (BRTA), Mikeletegi 57, Donostia / San Sebastián 20009, Spain.dmejiap@eafit.edu.cooruiz@eafit.edu.cojposada@vicomtech.orgMedellín de: Lat: 06 15 00 N degrees minutes Lat: 6.2500 decimal degrees Long: 075 36 00 W degrees minutes Long: -75.6000 decimal degrees2020-07-21T19:44:02Z20202020-07-21T19:44:02Zhttp://hdl.handle.net/10784/17067515.243 M516This Doctoral Thesis develops novel articulations of Differential Operators on Manifolds for applications on Computer Aided Design, Manufacture and Computer Graphics, as follows: (1) Mesh Parameterization and Segmentation. Development and application of Laplace-Beltrami, Hessian, Geodesic and Curvature operators for topology and geometry – driven segmentations and parameterizations of 2-manifold triangular meshes. Applications in Reverse Engineering, Manufacturing and Medicine. (2) Computing of Laser-driven Temperature Maps in thin plates. Spectral domain - based analytic solutions of the transient, non-homogeneous heat equation for simulation of temperature maps in multi-laser heated thin plates, modeled as 2-manifolds plus thickness. (3) Real-time estimation of dimensional compliance of hot out-of-forge workpieces. A Special Orthogonal SO(3) transformation between 2-manifolds is found, which enables a distance operator between 2-manifolds in R^3 (or m-manifolds in R^n). This process instruments the real-time assessment of dimensional compliance of hot workpieces, in the factory floor shop. (4) Slicing or Level-Set computation for 2-manifold triangular meshes in Additive Manufacturing. Development of a classification of non-degenerate (i.e. non-singular Hessian) and degenerate (i.e. singular Hessian) critical points of non-Morse functions on 2-manifold objects, followed by computation of level sets for Additive Manufacturing. Most of the aforementioned contributions have been screened and accepted by the international scientific community (and published). Non-published material corresponds to confidential developments which are commercially exploited by the sponsors and therefore banned from dissemination.application/pdfspaUniversidad EAFITDoctorado en IngenieríaEscuela de IngenieríaMedellínCAD CAM CAEGeometría computacionalOperadores diferencialesInspección dimensionalTransferencia de calorMaquinado laserDISEÑO EN INGENIERÍADISEÑO CON AYUDA DE COMPUTADORECUACIÓN DEL CALORCÁLCULO DE VARIACIONESCAD CAM CAEComputational geometryDifferential operatorsComputer graphicsMesh parameterizationMesh segmentationHeat transferLaser machiningDimensional inspectionCompendium of publications on: differential operators on manifolds for CAD CAM CAE and computer graphicsdoctoralThesisinfo:eu-repo/semantics/doctoralThesisTesis DoctoralacceptedVersionhttp://purl.org/coar/resource_type/c_db06Acceso abiertohttp://purl.org/coar/access_right/c_abf2LICENSElicense.txtlicense.txttext/plain; charset=utf-82556https://repository.eafit.edu.co/bitstreams/8b5cbff4-d8d6-43c2-9856-3aa58f025376/download76025f86b095439b7ac65b367055d40cMD51ORIGINALDanielMejia_OscarRuiz_JorgePosada_2020.pdfDanielMejia_OscarRuiz_JorgePosada_2020.pdfTrabajo de gradoapplication/pdf8379013https://repository.eafit.edu.co/bitstreams/3db5e3c0-bfb0-497e-a65e-ee8c3d43ca28/download57787f8efdd05624486e0aa4999402a7MD55aprobacion_trabajo_grado_eafit.pdfaprobacion_trabajo_grado_eafit.pdfCarta de aprobación de tesis de gradoapplication/pdf77289https://repository.eafit.edu.co/bitstreams/409851b5-5c5d-41fd-abd9-cb64103fa8ee/download57fbdc900025cde33c738c83fca9415eMD53formulario_autorizacion_publicacion_obras.pdfformulario_autorizacion_publicacion_obras.pdfFormulario de autorización de publicación de obrasapplication/pdf116583https://repository.eafit.edu.co/bitstreams/e3c278aa-3243-4cf4-a0ad-61952138d09a/downloadcfe1861cda5cf0c1e893c1dab73530acMD5410784/17067oai:repository.eafit.edu.co:10784/170672020-07-21 14:44:02.336open.accesshttps://repository.eafit.edu.coRepositorio Institucional Universidad EAFITrepositorio@eafit.edu.co |