Edge Detection based in Interval-Valued Fuzzy Mathematical Morphology and Aggregation Functions K

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Edge detection is a digital image processing tool. It determines points in a digital image where light intensity suddenly changes. This process applies to a digital image which assumes some degree of uncertainty in the location and intensity of the pixel in the real image. In this work, we propose a...

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Detalles Bibliográficos
Autores: Corbacho Carazas, Lisbeth, Sussner, Peter
Formato: artículo
Fecha de Publicación:2019
Institución:Universidad Nacional de Trujillo
Repositorio:Revistas - Universidad Nacional de Trujillo
Lenguaje:portugués
español
OAI Identifier:oai:ojs.revistas.unitru.edu.pe:article/2631
Enlace del recurso:https://revistas.unitru.edu.pe/index.php/SSMM/article/view/2631
Nivel de acceso:acceso abierto
Materia:Edge detection
interval-valued fuzzy morphology
gradient morphological
Deteccao de bordas
morfologia matemática fuzzy intervalar
morfologia gradiente
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spelling Edge Detection based in Interval-Valued Fuzzy Mathematical Morphology and Aggregation Functions KDetecao de Bordas baseada em Morfologia Matemática Fuzzy Intervalar e as Funcoes de Agregacao KCorbacho Carazas, LisbethSussner, PeterEdge detectioninterval-valued fuzzy morphologygradient morphologicalDeteccao de bordasmorfologia matemática fuzzy intervalarmorfologia gradienteEdge detection is a digital image processing tool. It determines points in a digital image where light intensity suddenly changes. This process applies to a digital image which assumes some degree of uncertainty in the location and intensity of the pixel in the real image. In this work, we propose an edge detection model which consists in capturing this uncertainty in terms of interval images. Then we apply interval-valued fuzzy morphology to calculate the interval-valued erosion and dilation. Finally, we compute the convex combinations of the upper and lower bounds of the interval-valued erosion and dilation image, to obtain a morphological erosion and dilation respectively, and thus an edge image.A deteccao de bordas é uma ferramenta de processamento digital de imagenes. Ela determina pontos de uma imagem digital onde a intensidade da luz muda repentinamente. Esse processo aplica-se a uma imagem digital a qual supoe algum grau de incerteza na localizacao e na intensidade do pixel da imagem real. Neste trabalho, é proposto um modelo de detecao de bordas que consiste na captura dessa incerteza em termos de imagens intervalares, para depois aplicar a erosao e dilatacao intervalar fuzzy. Finalmente, por meio de uma combinacao convexa sobre os limites superiores e inferiores da erosao e a dilatacao intervalar, sao obtidas a erosao e a dilatacao morfológica respectivamente, com as quais se faz possível produzir uma imagem borda.National University of Trujillo - Academic Department of Mathematics2019-12-24info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdftext/htmlhttps://revistas.unitru.edu.pe/index.php/SSMM/article/view/2631Selecciones Matemáticas; Vol. 6 No. 02 (2019): August - December; 238-247Selecciones Matemáticas; Vol. 6 Núm. 02 (2019): Agosto-Diciembre; 238-247Selecciones Matemáticas; v. 6 n. 02 (2019): Agosto-Diciembre; 238-2472411-1783reponame:Revistas - Universidad Nacional de Trujilloinstname:Universidad Nacional de Trujilloinstacron:UNITRUporspahttps://revistas.unitru.edu.pe/index.php/SSMM/article/view/2631/2650https://revistas.unitru.edu.pe/index.php/SSMM/article/view/2631/2671Derechos de autor 2019 Selecciones Matemáticasinfo:eu-repo/semantics/openAccessoai:ojs.revistas.unitru.edu.pe:article/26312022-10-21T18:52:01Z
dc.title.none.fl_str_mv Edge Detection based in Interval-Valued Fuzzy Mathematical Morphology and Aggregation Functions K
Detecao de Bordas baseada em Morfologia Matemática Fuzzy Intervalar e as Funcoes de Agregacao K
title Edge Detection based in Interval-Valued Fuzzy Mathematical Morphology and Aggregation Functions K
spellingShingle Edge Detection based in Interval-Valued Fuzzy Mathematical Morphology and Aggregation Functions K
Corbacho Carazas, Lisbeth
Edge detection
interval-valued fuzzy morphology
gradient morphological
Deteccao de bordas
morfologia matemática fuzzy intervalar
morfologia gradiente
title_short Edge Detection based in Interval-Valued Fuzzy Mathematical Morphology and Aggregation Functions K
title_full Edge Detection based in Interval-Valued Fuzzy Mathematical Morphology and Aggregation Functions K
title_fullStr Edge Detection based in Interval-Valued Fuzzy Mathematical Morphology and Aggregation Functions K
title_full_unstemmed Edge Detection based in Interval-Valued Fuzzy Mathematical Morphology and Aggregation Functions K
title_sort Edge Detection based in Interval-Valued Fuzzy Mathematical Morphology and Aggregation Functions K
dc.creator.none.fl_str_mv Corbacho Carazas, Lisbeth
Sussner, Peter
author Corbacho Carazas, Lisbeth
author_facet Corbacho Carazas, Lisbeth
Sussner, Peter
author_role author
author2 Sussner, Peter
author2_role author
dc.subject.none.fl_str_mv Edge detection
interval-valued fuzzy morphology
gradient morphological
Deteccao de bordas
morfologia matemática fuzzy intervalar
morfologia gradiente
topic Edge detection
interval-valued fuzzy morphology
gradient morphological
Deteccao de bordas
morfologia matemática fuzzy intervalar
morfologia gradiente
description Edge detection is a digital image processing tool. It determines points in a digital image where light intensity suddenly changes. This process applies to a digital image which assumes some degree of uncertainty in the location and intensity of the pixel in the real image. In this work, we propose an edge detection model which consists in capturing this uncertainty in terms of interval images. Then we apply interval-valued fuzzy morphology to calculate the interval-valued erosion and dilation. Finally, we compute the convex combinations of the upper and lower bounds of the interval-valued erosion and dilation image, to obtain a morphological erosion and dilation respectively, and thus an edge image.
publishDate 2019
dc.date.none.fl_str_mv 2019-12-24
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://revistas.unitru.edu.pe/index.php/SSMM/article/view/2631
url https://revistas.unitru.edu.pe/index.php/SSMM/article/view/2631
dc.language.none.fl_str_mv por
spa
language por
spa
dc.relation.none.fl_str_mv https://revistas.unitru.edu.pe/index.php/SSMM/article/view/2631/2650
https://revistas.unitru.edu.pe/index.php/SSMM/article/view/2631/2671
dc.rights.none.fl_str_mv Derechos de autor 2019 Selecciones Matemáticas
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Derechos de autor 2019 Selecciones Matemáticas
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
text/html
dc.publisher.none.fl_str_mv National University of Trujillo - Academic Department of Mathematics
publisher.none.fl_str_mv National University of Trujillo - Academic Department of Mathematics
dc.source.none.fl_str_mv Selecciones Matemáticas; Vol. 6 No. 02 (2019): August - December; 238-247
Selecciones Matemáticas; Vol. 6 Núm. 02 (2019): Agosto-Diciembre; 238-247
Selecciones Matemáticas; v. 6 n. 02 (2019): Agosto-Diciembre; 238-247
2411-1783
reponame:Revistas - Universidad Nacional de Trujillo
instname:Universidad Nacional de Trujillo
instacron:UNITRU
instname_str Universidad Nacional de Trujillo
instacron_str UNITRU
institution UNITRU
reponame_str Revistas - Universidad Nacional de Trujillo
collection Revistas - Universidad Nacional de Trujillo
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