Balanced Multiresolution for Symmetric/Antisymmetric Filters

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dc.contributor.authorHasan, Mahmudulen_US
dc.contributor.authorSamavati, Faramarzen_US
dc.contributor.authorCosta Sousa, Marioen_US
dc.date.accessioned2014-05-13T14:57:41Z
dc.date.available2014-05-13T14:57:41Z
dc.date.issued2014-05-13
dc.description.abstractGiven a set of symmetric/antisymmetric filter vectors containing only regular multiresolution filters, the method we present in this article can establish a balanced multiresolution scheme for images, allowing their balanced decomposition and subsequent perfect reconstruction without the use of any extraordinary boundary filters. We define balanced multiresolution such that it allows balanced decomposition i.e. decomposition of a high-resolution image into a low-resolution image and corresponding details of equal size. Such a balanced decomposition makes on-demand reconstruction of regions of interest efficient in both computational load and implementation aspects. We find this balanced decomposition and perfect reconstruction based on an appropriate combination of symmetric/antisymmetric extensions near the image and detail boundaries. In our method, exploiting such extensions correlates to performing sample (pixel/voxel) split operations. Our general approach is demonstrated for some commonly used symmetric /antisymmetric multiresolution filters. We also show the application of such a balanced multiresolution scheme in real-time focus+context visualization.en_US
dc.description.refereedNoen_US
dc.identifier.department2014-1059-10en_US
dc.identifier.doihttp://dx.doi.org/10.11575/PRISM/30986
dc.identifier.urihttp://hdl.handle.net/1880/49997
dc.language.isoengen_US
dc.publisher.corporateUniversity of Calgaryen_US
dc.publisher.facultyScienceen_US
dc.subjectmultiresolutionen_US
dc.subjectreverse subdivisionen_US
dc.subjectbalanced decompositionen_US
dc.subjectperfect reconstructionen_US
dc.subjectlossless reconstructionen_US
dc.subject.otherfocus+context visualization, contextual close-up, symmetric extension, antisymmetric extensionen_US
dc.titleBalanced Multiresolution for Symmetric/Antisymmetric Filtersen_US
dc.typetechnical reporten_US
thesis.degree.disciplineComputer Scienceen_US
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