Ajuste de curva B-spline fechada com peso
Main Author: | |
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Publication Date: | 2014 |
Format: | Master thesis |
Language: | por |
Source: | Repositório Institucional da UFU |
Download full: | https://repositorio.ufu.br/handle/123456789/14947 https://doi.org/10.14393/ufu.di.2014.46 |
Summary: | The aim of this work is to develop a method of curve fitting using closed B-spline closed for application on reconstruction of cross-sections of objects. For this study specifically where the sections are closed curves, it has been implemented a method to close the curve B-spline curve, in such way that the curve is smooth on the closing point. The developed method is based on least squares approximation with weights, which defines that the curve should be as close as possible to the real curve. The weights in this case are responsible for the tightness of the approximation to each data points, whose points represent the coordinate of the object section that will be rebuild. Moreover, adjustments and impositions on the curve have been proposed so that it has a better result and represent more accurately the desired cross section. Particular characteristics of the curve were used to help enforce and define the settings. For the analysis, B-spline curves using the developed method, were obtained showing good results. |
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2016-06-22T18:40:33Z2014-07-052016-06-22T18:40:33Z2014-02-17PEREIRA, Larissa Rocha. Curve fitting whith closed weigthed B-spline. 2014. 166 f. Dissertação (Mestrado em Engenharias) - Universidade Federal de Uberlândia, Uberlândia, 2014. Disponível em: https://doi.org/10.14393/ufu.di.2014.46https://repositorio.ufu.br/handle/123456789/14947https://doi.org/10.14393/ufu.di.2014.46The aim of this work is to develop a method of curve fitting using closed B-spline closed for application on reconstruction of cross-sections of objects. For this study specifically where the sections are closed curves, it has been implemented a method to close the curve B-spline curve, in such way that the curve is smooth on the closing point. The developed method is based on least squares approximation with weights, which defines that the curve should be as close as possible to the real curve. The weights in this case are responsible for the tightness of the approximation to each data points, whose points represent the coordinate of the object section that will be rebuild. Moreover, adjustments and impositions on the curve have been proposed so that it has a better result and represent more accurately the desired cross section. Particular characteristics of the curve were used to help enforce and define the settings. For the analysis, B-spline curves using the developed method, were obtained showing good results.O objetivo desse trabalho é desenvolver um método de ajuste de curvas B-spline fechada para a aplicação na reconstrução de seções transversais de um objeto. Por especificamente nesse trabalho as seções serem seções fechadas, foi implementado um método para o fechamento da curva B-spline, de modo que a mesma possuía suavidade no seu fechamento. O método desenvolvido e utilizado foi baseado na aproximação por mínimos quadrados com pesos, que define que a curva obtida deva ser mais próxima possível da curva real. Os pesos nesse caso são responsáveis pela aproximação ou afastamento da curva em relação aos pontos dados, pontos esses que melhor representam as coordenadas da seção do objeto que se deseja reconstruir. Além disso, foram desenvolvidos ajustes e imposições na curva para que ela tivesse um melhor resultado e representasse de forma mais fiel a seção transversal desejada. Para a imposição e definição dos ajustes foram utilizadas características particulares da curva. Para a análise, curvas B-spline utilizando o método desenvolvido, foram traçadas e foram constatados os resultados desejados.Coordenação de Aperfeiçoamento de Pessoal de Nível SuperiorMestre em Engenharia Mecânicaapplication/pdfporUniversidade Federal de UberlândiaPrograma de Pós-graduação em Engenharia MecânicaUFUBREngenhariasB-spline fechadaAjustes de curvaB-spline com pesoMínimos quadradosSpline, Teoria doCurvas em superfíciesClosed B-splineFitting CurvesWeighted B-splinesLeast squaresCNPQ::ENGENHARIAS::ENGENHARIA MECANICAAjuste de curva B-spline fechada com pesoCurve fitting whith closed weigthed B-splineinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesisCarvalho, João Carlos Mendeshttp://buscatextual.cnpq.br/buscatextual/visualizacv.do?id=K4797127J7Tavares, José Jean-paul Zanlucchi de Souzahttp://buscatextual.cnpq.br/buscatextual/visualizacv.do?id=K4779570U3Gonçalves, Rogério Saleshttp://buscatextual.cnpq.br/buscatextual/visualizacv.do?id=K4706163Y3Oliveira, Plínio Joséhttp://buscatextual.cnpq.br/buscatextual/visualizacv.do?id=K4784325A3http://buscatextual.cnpq.br/buscatextual/visualizacv.do?id=K4440635J6Pereira, Larissa Rocha81756321info:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFUinstname:Universidade Federal de Uberlândia (UFU)instacron:UFUTHUMBNAILAjusteCurvaSpline.pdf.jpgAjusteCurvaSpline.pdf.jpgGenerated Thumbnailimage/jpeg1216https://repositorio.ufu.br/bitstream/123456789/14947/3/AjusteCurvaSpline.pdf.jpg494b312a02e76abf7d01a945ca13f7daMD53ORIGINALAjusteCurvaSpline.pdfapplication/pdf4398519https://repositorio.ufu.br/bitstream/123456789/14947/1/AjusteCurvaSpline.pdf4feac40b5afae1f25ef54fe7f64e821eMD51TEXTAjusteCurvaSpline.pdf.txtAjusteCurvaSpline.pdf.txtExtracted texttext/plain218154https://repositorio.ufu.br/bitstream/123456789/14947/2/AjusteCurvaSpline.pdf.txtbe13fa8bdef705a98f39e36ac5226194MD52123456789/149472021-07-28 11:56:19.304oai:repositorio.ufu.br:123456789/14947Repositório InstitucionalONGhttp://repositorio.ufu.br/oai/requestdiinf@dirbi.ufu.bropendoar:2024-04-26T14:55:07.760992Repositório Institucional da UFU - Universidade Federal de Uberlândia (UFU)false |
dc.title.por.fl_str_mv |
Ajuste de curva B-spline fechada com peso |
dc.title.alternative.eng.fl_str_mv |
Curve fitting whith closed weigthed B-spline |
title |
Ajuste de curva B-spline fechada com peso |
spellingShingle |
Ajuste de curva B-spline fechada com peso Pereira, Larissa Rocha B-spline fechada Ajustes de curva B-spline com peso Mínimos quadrados Spline, Teoria do Curvas em superfícies Closed B-spline Fitting Curves Weighted B-splines Least squares CNPQ::ENGENHARIAS::ENGENHARIA MECANICA |
title_short |
Ajuste de curva B-spline fechada com peso |
title_full |
Ajuste de curva B-spline fechada com peso |
title_fullStr |
Ajuste de curva B-spline fechada com peso |
title_full_unstemmed |
Ajuste de curva B-spline fechada com peso |
title_sort |
Ajuste de curva B-spline fechada com peso |
author |
Pereira, Larissa Rocha |
author_facet |
Pereira, Larissa Rocha |
author_role |
author |
dc.contributor.advisor1.fl_str_mv |
Carvalho, João Carlos Mendes |
dc.contributor.advisor1Lattes.fl_str_mv |
http://buscatextual.cnpq.br/buscatextual/visualizacv.do?id=K4797127J7 |
dc.contributor.referee1.fl_str_mv |
Tavares, José Jean-paul Zanlucchi de Souza |
dc.contributor.referee1Lattes.fl_str_mv |
http://buscatextual.cnpq.br/buscatextual/visualizacv.do?id=K4779570U3 |
dc.contributor.referee2.fl_str_mv |
Gonçalves, Rogério Sales |
dc.contributor.referee2Lattes.fl_str_mv |
http://buscatextual.cnpq.br/buscatextual/visualizacv.do?id=K4706163Y3 |
dc.contributor.referee3.fl_str_mv |
Oliveira, Plínio José |
dc.contributor.referee3Lattes.fl_str_mv |
http://buscatextual.cnpq.br/buscatextual/visualizacv.do?id=K4784325A3 |
dc.contributor.authorLattes.fl_str_mv |
http://buscatextual.cnpq.br/buscatextual/visualizacv.do?id=K4440635J6 |
dc.contributor.author.fl_str_mv |
Pereira, Larissa Rocha |
contributor_str_mv |
Carvalho, João Carlos Mendes Tavares, José Jean-paul Zanlucchi de Souza Gonçalves, Rogério Sales Oliveira, Plínio José |
dc.subject.por.fl_str_mv |
B-spline fechada Ajustes de curva B-spline com peso Mínimos quadrados Spline, Teoria do Curvas em superfícies |
topic |
B-spline fechada Ajustes de curva B-spline com peso Mínimos quadrados Spline, Teoria do Curvas em superfícies Closed B-spline Fitting Curves Weighted B-splines Least squares CNPQ::ENGENHARIAS::ENGENHARIA MECANICA |
dc.subject.eng.fl_str_mv |
Closed B-spline Fitting Curves Weighted B-splines Least squares |
dc.subject.cnpq.fl_str_mv |
CNPQ::ENGENHARIAS::ENGENHARIA MECANICA |
description |
The aim of this work is to develop a method of curve fitting using closed B-spline closed for application on reconstruction of cross-sections of objects. For this study specifically where the sections are closed curves, it has been implemented a method to close the curve B-spline curve, in such way that the curve is smooth on the closing point. The developed method is based on least squares approximation with weights, which defines that the curve should be as close as possible to the real curve. The weights in this case are responsible for the tightness of the approximation to each data points, whose points represent the coordinate of the object section that will be rebuild. Moreover, adjustments and impositions on the curve have been proposed so that it has a better result and represent more accurately the desired cross section. Particular characteristics of the curve were used to help enforce and define the settings. For the analysis, B-spline curves using the developed method, were obtained showing good results. |
publishDate |
2014 |
dc.date.available.fl_str_mv |
2014-07-05 2016-06-22T18:40:33Z |
dc.date.issued.fl_str_mv |
2014-02-17 |
dc.date.accessioned.fl_str_mv |
2016-06-22T18:40:33Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/masterThesis |
format |
masterThesis |
status_str |
publishedVersion |
dc.identifier.citation.fl_str_mv |
PEREIRA, Larissa Rocha. Curve fitting whith closed weigthed B-spline. 2014. 166 f. Dissertação (Mestrado em Engenharias) - Universidade Federal de Uberlândia, Uberlândia, 2014. Disponível em: https://doi.org/10.14393/ufu.di.2014.46 |
dc.identifier.uri.fl_str_mv |
https://repositorio.ufu.br/handle/123456789/14947 |
dc.identifier.doi.por.fl_str_mv |
https://doi.org/10.14393/ufu.di.2014.46 |
identifier_str_mv |
PEREIRA, Larissa Rocha. Curve fitting whith closed weigthed B-spline. 2014. 166 f. Dissertação (Mestrado em Engenharias) - Universidade Federal de Uberlândia, Uberlândia, 2014. Disponível em: https://doi.org/10.14393/ufu.di.2014.46 |
url |
https://repositorio.ufu.br/handle/123456789/14947 https://doi.org/10.14393/ufu.di.2014.46 |
dc.language.iso.fl_str_mv |
por |
language |
por |
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info:eu-repo/semantics/openAccess |
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openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
Universidade Federal de Uberlândia |
dc.publisher.program.fl_str_mv |
Programa de Pós-graduação em Engenharia Mecânica |
dc.publisher.initials.fl_str_mv |
UFU |
dc.publisher.country.fl_str_mv |
BR |
dc.publisher.department.fl_str_mv |
Engenharias |
publisher.none.fl_str_mv |
Universidade Federal de Uberlândia |
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