A evolução temporal dos expoentes de Hurst em imagens interferométricas de um carcinoma mamário

Detalhes bibliográficos
Autor(a) principal: Marques, Rodnei Alves
Data de Publicação: 2020
Outros Autores: Sáfadi, Thelma
Tipo de documento: Artigo
Idioma: por
Título da fonte: Repositório Institucional da UFLA
Texto Completo: http://repositorio.ufla.br/jspui/handle/1/46659
Resumo: This research aimed to estimate and verify whether the behavior of directional Hurst exponents over time with the use of undetermined wavelet transform, in 128 interferometric images of a canine anaplastic breast carcinoma, obtained at regular time intervals, through the dynamic biospekle method, may differentiate sub-images of cancerous tissue from healthy ones. To achieve this purpose, sub-images that depict only cancerous tissues and sub-images that depict only healthy tissues were extracted applying the multi-resolution analysis methodology with four levels of resolution and use of the Daubechies wavelet with eight null moments, as proposed in a previous article. To estimate the Hurst exponents, the mean of the squares of the wavelet coefficients, Mid-energies and the median of the square of the wavelet coefficients (MEDL) were used and their effects were verified in the time series of Hurst exponents. It was concluded, with the prospective study, that the temporal analysis of the Hurst exponents can be an alternative tool to differentiate images of healthy and cancerous tissue. There was a variation in the directional Hurst exponents, over time, around an average value, both for cancerous regions and for healthy regions. The data suggest that the estimate of Hurst’s directional exponent in the horizontal direction, obtained via MEDL, may constitute an alternative to differentiate sub-images of cancerous tissue from healthy ones, as they present less variance and better discrimination.
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spelling A evolução temporal dos expoentes de Hurst em imagens interferométricas de um carcinoma mamárioAnálise de multirresoluçãoTransformada discreta de ondaletas 2-DExpoente de HurstMulti-resolution analysis2-D discrete wavelet transformHurst exponentThis research aimed to estimate and verify whether the behavior of directional Hurst exponents over time with the use of undetermined wavelet transform, in 128 interferometric images of a canine anaplastic breast carcinoma, obtained at regular time intervals, through the dynamic biospekle method, may differentiate sub-images of cancerous tissue from healthy ones. To achieve this purpose, sub-images that depict only cancerous tissues and sub-images that depict only healthy tissues were extracted applying the multi-resolution analysis methodology with four levels of resolution and use of the Daubechies wavelet with eight null moments, as proposed in a previous article. To estimate the Hurst exponents, the mean of the squares of the wavelet coefficients, Mid-energies and the median of the square of the wavelet coefficients (MEDL) were used and their effects were verified in the time series of Hurst exponents. It was concluded, with the prospective study, that the temporal analysis of the Hurst exponents can be an alternative tool to differentiate images of healthy and cancerous tissue. There was a variation in the directional Hurst exponents, over time, around an average value, both for cancerous regions and for healthy regions. The data suggest that the estimate of Hurst’s directional exponent in the horizontal direction, obtained via MEDL, may constitute an alternative to differentiate sub-images of cancerous tissue from healthy ones, as they present less variance and better discrimination.A presente pesquisa teve como propósito estimar e verificar se ocomportamento, ao longo do tempo, dos expoentes de Hurst direcionais com utilizaçãoda transformada não decimada de ondaletas em 128 imagens interferométricas de umcarcinoma mamário anaplástico canino, obtidas em intervalos de tempos regulares pormeio do método biospekle dinâmico pode diferenciar subimagens do tecido cancerígenodo saudável. Para atingir o propósito foram extraídas subimagens que retratamsomente tecidos cancerígenos e subimagens que retratam somente tecidos saudáveis,aplicada a metodologia de análise de multirresolução com quatro níveis de resoluçãoe uso da ondaleta de Daubechies com oito momentos nulos, conforme proposta emartigo pregresso. Para estimação dos expoentes de Hurst foram utilizados a médiados quadrados dos coeficientes de ondaleta, Mid-energias e a mediana do quadradodos coeficientes de ondaletas (MEDL) e verificados seus efeitos na série temporal deexpoentes de Hurst. Concluiu-se, com o estudo prospectivo, que a análise temporaldos expoentes de Hurst pode ser uma ferramenta alternativa para diferenciar imagensdo tecido saudável do cancerígeno. Constatou-se a uma variação dos expoentes deHurst direcionais, ao longo do tempo, em torno de um valor médio, tanto para regiõescancerígenas como para regiões saudáveis. Os dados sugerem que a estimativa doexpoente direcional de Hurst na direção horizontal, obtidas via MEDL, pode constituiruma alternativa para diferenciar subimagens do tecido cancerígeno do saudável porapresentar menor variância e melhor discriminação.Universidade Federal de Lavras2021-07-06T16:43:20Z2021-07-06T16:43:20Z2020info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfMARQUES, R. A.; SÁFADI, T. A evolução temporal dos expoentes de Hurst em imagens interferométricas de um carcinoma mamário. Revista Brasileira de Biometria, Lavras, v. 38, n. 3, p. 324-342, 2020.http://repositorio.ufla.br/jspui/handle/1/46659Revista Brasileira de Biometriareponame:Repositório Institucional da UFLAinstname:Universidade Federal de Lavras (UFLA)instacron:UFLAAttribution 4.0 Internationalhttp://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessMarques, Rodnei AlvesSáfadi, Thelmapor2021-07-06T16:43:20Zoai:localhost:1/46659Repositório InstitucionalPUBhttp://repositorio.ufla.br/oai/requestnivaldo@ufla.br || repositorio.biblioteca@ufla.bropendoar:2021-07-06T16:43:20Repositório Institucional da UFLA - Universidade Federal de Lavras (UFLA)false
dc.title.none.fl_str_mv A evolução temporal dos expoentes de Hurst em imagens interferométricas de um carcinoma mamário
title A evolução temporal dos expoentes de Hurst em imagens interferométricas de um carcinoma mamário
spellingShingle A evolução temporal dos expoentes de Hurst em imagens interferométricas de um carcinoma mamário
Marques, Rodnei Alves
Análise de multirresolução
Transformada discreta de ondaletas 2-D
Expoente de Hurst
Multi-resolution analysis
2-D discrete wavelet transform
Hurst exponent
title_short A evolução temporal dos expoentes de Hurst em imagens interferométricas de um carcinoma mamário
title_full A evolução temporal dos expoentes de Hurst em imagens interferométricas de um carcinoma mamário
title_fullStr A evolução temporal dos expoentes de Hurst em imagens interferométricas de um carcinoma mamário
title_full_unstemmed A evolução temporal dos expoentes de Hurst em imagens interferométricas de um carcinoma mamário
title_sort A evolução temporal dos expoentes de Hurst em imagens interferométricas de um carcinoma mamário
author Marques, Rodnei Alves
author_facet Marques, Rodnei Alves
Sáfadi, Thelma
author_role author
author2 Sáfadi, Thelma
author2_role author
dc.contributor.author.fl_str_mv Marques, Rodnei Alves
Sáfadi, Thelma
dc.subject.por.fl_str_mv Análise de multirresolução
Transformada discreta de ondaletas 2-D
Expoente de Hurst
Multi-resolution analysis
2-D discrete wavelet transform
Hurst exponent
topic Análise de multirresolução
Transformada discreta de ondaletas 2-D
Expoente de Hurst
Multi-resolution analysis
2-D discrete wavelet transform
Hurst exponent
description This research aimed to estimate and verify whether the behavior of directional Hurst exponents over time with the use of undetermined wavelet transform, in 128 interferometric images of a canine anaplastic breast carcinoma, obtained at regular time intervals, through the dynamic biospekle method, may differentiate sub-images of cancerous tissue from healthy ones. To achieve this purpose, sub-images that depict only cancerous tissues and sub-images that depict only healthy tissues were extracted applying the multi-resolution analysis methodology with four levels of resolution and use of the Daubechies wavelet with eight null moments, as proposed in a previous article. To estimate the Hurst exponents, the mean of the squares of the wavelet coefficients, Mid-energies and the median of the square of the wavelet coefficients (MEDL) were used and their effects were verified in the time series of Hurst exponents. It was concluded, with the prospective study, that the temporal analysis of the Hurst exponents can be an alternative tool to differentiate images of healthy and cancerous tissue. There was a variation in the directional Hurst exponents, over time, around an average value, both for cancerous regions and for healthy regions. The data suggest that the estimate of Hurst’s directional exponent in the horizontal direction, obtained via MEDL, may constitute an alternative to differentiate sub-images of cancerous tissue from healthy ones, as they present less variance and better discrimination.
publishDate 2020
dc.date.none.fl_str_mv 2020
2021-07-06T16:43:20Z
2021-07-06T16:43:20Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv MARQUES, R. A.; SÁFADI, T. A evolução temporal dos expoentes de Hurst em imagens interferométricas de um carcinoma mamário. Revista Brasileira de Biometria, Lavras, v. 38, n. 3, p. 324-342, 2020.
http://repositorio.ufla.br/jspui/handle/1/46659
identifier_str_mv MARQUES, R. A.; SÁFADI, T. A evolução temporal dos expoentes de Hurst em imagens interferométricas de um carcinoma mamário. Revista Brasileira de Biometria, Lavras, v. 38, n. 3, p. 324-342, 2020.
url http://repositorio.ufla.br/jspui/handle/1/46659
dc.language.iso.fl_str_mv por
language por
dc.rights.driver.fl_str_mv Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Universidade Federal de Lavras
publisher.none.fl_str_mv Universidade Federal de Lavras
dc.source.none.fl_str_mv Revista Brasileira de Biometria
reponame:Repositório Institucional da UFLA
instname:Universidade Federal de Lavras (UFLA)
instacron:UFLA
instname_str Universidade Federal de Lavras (UFLA)
instacron_str UFLA
institution UFLA
reponame_str Repositório Institucional da UFLA
collection Repositório Institucional da UFLA
repository.name.fl_str_mv Repositório Institucional da UFLA - Universidade Federal de Lavras (UFLA)
repository.mail.fl_str_mv nivaldo@ufla.br || repositorio.biblioteca@ufla.br
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