Topological Framework for Digital Image Analysis with Extended Interior and Closure Operators

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dc.contributor.authorFashandi, Homa
dc.contributor.examiningcommitteePawlak, Miroslaw (Electrical and Computer Engineering) Yahampath, Pradeepa (Electrical and Computer Engineering) Pistorius, Stephen (Physics and Astronomy) Jain,Lakhmi C.(University of South Australia)en_US
dc.contributor.supervisorPeters, James (Electrical and Computer Engineering)en_US
dc.date.accessioned2012-09-25T14:22:43Z
dc.date.available2012-09-25T14:22:43Z
dc.date.issued2012-09-25
dc.degree.disciplineElectrical and Computer Engineeringen_US
dc.degree.levelDoctor of Philosophy (Ph.D.)en_US
dc.description.abstractThe focus of this research is the extension of topological operators with the addition of a inclusion measure. This extension is carried out in both crisp and fuzzy topological spaces. The mathematical properties of the new operators are discussed and compared with traditional operators. Ignoring small errors due to imperfections and noise in digital images is the main motivation in introducing the proposed operators. To show the effectiveness of the new operators, we demonstrate their utility in image database classification and shape classification. Each image (shape) category is modeled with a topological space and the interior of the query image is obtained with respect to different topologies. This novel way of looking at the image categories and classifying a query image shows some promising results. Moreover, the proposed interior and closure operators with inclusion degree is utilized in mathematical morphology area. The morphological operators with inclusion degree outperform traditional morphology in noise removal and edge detection in a noisy environmenten_US
dc.description.noteOctober 2012en_US
dc.identifier.urihttp://hdl.handle.net/1993/9145
dc.language.isoengen_US
dc.rightsopen accessen_US
dc.subjecttopologyen_US
dc.subjectfuzzy topologyen_US
dc.subjectinclusion degreeen_US
dc.subjectinterior operator with inclusion degreeen_US
dc.subjectclosure operator with inclusion degreeen_US
dc.subjectimage database classificationen_US
dc.subjectmathematical morphologyen_US
dc.titleTopological Framework for Digital Image Analysis with Extended Interior and Closure Operatorsen_US
dc.typedoctoral thesisen_US
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