Dória Neto, Adrião DuarteCruz, Marcia Maria de Castro2014-12-172009-05-262014-12-172008-09-05CRUZ, Marcia Maria de Castro. Uma Fundamentação Intervalar Aplicada à Morfologia Matemática. 2008. 128 f. Tese (Doutorado em Automação e Sistemas; Engenharia de Computação; Telecomunicações) - Universidade Federal do Rio Grande do Norte, Natal, 2008.https://repositorio.ufrn.br/jspui/handle/123456789/15127This 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 imagesapplication/pdfAcesso AbertoImagens bináriasImagens intervalaresMorfologia matemáticaMatemática intervalarIncertezaReticulados completoImagens em níveis de cinzaDilataçãoErosãodoctoralThesisCNPQ::ENGENHARIAS::ENGENHARIA ELETRICA