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Previous issue date: 2008-09-05 / This work present a interval approach to deal with images with that contain uncertainties, as well, as treating these uncertainties through morphologic operations. Had been presented two intervals models. For the first, is introduced an algebraic space with three values, that was constructed based in the tri-valorada logic of Lukasiewiecz. With this algebraic structure, the theory of the interval binary images, that extends the classic binary model with the inclusion of the uncertainty information, was introduced. The same one can be applied to represent certain binary images with uncertainty in pixels, that it was originated, for example, during the process of the acquisition of the image. The lattice structure of these images, allow the definition of the morphologic operators, where the uncertainties are treated locally. The second model, extend the classic model to the images in gray levels, where the functions that represent these images are mapping in a finite set of interval values. The algebraic structure belong the complete lattices class, what also it allow the definition of the elementary operators of the mathematical morphology, dilation and erosion for this images. Thus, it is established a interval theory applied to the mathematical morphology to deal with problems of uncertainties in images / Este trabalho apresenta uma abordagem intervalar para lidar com imagens que cont?m incertezas, bem como tratar essas incertezas atrav?s de opera??es morfol?gicas. Foram apresentados dois modelos intervalares. Para o primeiro, ? introduzido um espa?o alg?brico com tr?s valores que foi constru?do com base na l?gica tri-valorada de Lukasiewiecz. Com essa estrutura alg?brica, introduz-se a teoria das imagens bin?rias intervalares, que estende o modelo cl?ssico bin?rio, com a inclus?o da informa??o de incerteza. A mesma pode ser aplicada para representar imagens bin?rias com incerteza em certos pixels, que foi originada, por exemplo, durante o processo da aquisi??o da imagem. A estrutura reticular dessas imagens permite a defini??o de operadores morfol?gicos, onde as incertezas s?o tratadas localmente. O segundo modelo, estende o modelo cl?ssico para imagens em n?veis de cinza, onde as fun??es que representam essas imagens s?o mapeadas em um conjunto finito de valores intervalares. A estrutura alg?brica desse conjunto pertence a classe dos reticulados completos, o que permite a defini??o dos operadores elementares da morfologia matem?tica, dilata??o e eros?o para essas imagens. Dessa forma, fica estabelecida uma teoria intervalar aplicada ? morfologia matem?tica para tratar problemas de incertezas em imagens
| Identifer | oai:union.ndltd.org:IBICT/oai:repositorio.ufrn.br:123456789/15127 |
| Date | 05 September 2008 |
| Creators | Cruz, Marcia Maria de Castro |
| Contributors | CPF:10749896434, http://lattes.cnpq.br/1987295209521433, Dimuro, Gra?aliz Pereira, CPF:25925326091, http://lattes.cnpq.br/9414212573217453, Moraes, Ronei Marcos de, CPF:07946527861, http://lattes.cnpq.br/7925449690046513, Lyra, Aar?o, CPF:67360378400, http://lattes.cnpq.br/2558569782799336, Bedregal, Benjamin Ren? Callejas, CPF:90688384404, http://buscatextual.cnpq.br/buscatextual/visualizacv.do?id=K4781417E7, Santiago, Regivan Hugo Nunes, D?ria Neto, Adri?o Duarte |
| Publisher | Universidade Federal do Rio Grande do Norte, Programa de P?s-Gradua??o em Engenharia El?trica, UFRN, BR, Automa??o e Sistemas; Engenharia de Computa??o; Telecomunica??es |
| Source Sets | IBICT Brazilian ETDs |
| Language | Portuguese |
| Detected Language | English |
| Type | info:eu-repo/semantics/publishedVersion, info:eu-repo/semantics/doctoralThesis |
| Format | application/pdf |
| Source | reponame:Repositório Institucional da UFRN, instname:Universidade Federal do Rio Grande do Norte, instacron:UFRN |
| Rights | info:eu-repo/semantics/openAccess |
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