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...

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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
dc.language.iso.spa.fl_str_mv spa
language spa
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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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spelling 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