Sub-band Coding of Hexagonal Images

dc.contributor.advisorAlim, Usman R.
dc.contributor.authorRashid, MD Mamunur
dc.contributor.committeememberYanushkevich, Svetlana N.
dc.contributor.committeememberWang, Mea
dc.date2019-11
dc.date.accessioned2019-09-18T18:53:45Z
dc.date.available2019-09-18T18:53:45Z
dc.date.issued2019-09-16
dc.description.abstractAccording to the circle-packing theorem, the packing efficiency of a hexagonal lattice is higher than an equivalent square tessellation. Consequently, in several contexts, hexagonally sampled images compared to their Cartesian counterparts are better at preserving information content. In this thesis, novel mapping techniques alongside the wavelet compression scheme are presented for hexagonal images. Specifically, we introduce two tree-based coding schemes, referred to as SBHex (spirally-mapped branch-coding for hexagonal images) and BBHex (breadth-first block-coding for hexagonal images). Both of these coding schemes respect the geometry of the hexagonal lattice and yield better compression results. Our empirical results show that the proposed algorithms for hexagonal images produce better reconstruction quality at lower bits-per-pixel values compared to the tree-based coding counterparts for the Cartesian grid.en_US
dc.identifier.citationRashid, M. D. M. (2019). Sub-band Coding of Hexagonal Images (Master's thesis, University of Calgary, Calgary, Canada). Retrieved from https://prism.ucalgary.ca.en_US
dc.identifier.doihttp://dx.doi.org/10.11575/PRISM/37068
dc.identifier.urihttp://hdl.handle.net/1880/111003
dc.language.isoengen_US
dc.publisher.facultyScienceen_US
dc.publisher.institutionUniversity of Calgaryen
dc.rightsUniversity of Calgary graduate students retain copyright ownership and moral rights for their thesis. You may use this material in any way that is permitted by the Copyright Act or through licensing that has been assigned to the document. For uses that are not allowable under copyright legislation or licensing, you are required to seek permission.en_US
dc.subjectHexagonal Image Processingen_US
dc.subjectSub-band Codingen_US
dc.subjectMultiresolution Analysisen_US
dc.subjectImage Compressionen_US
dc.subject.classificationComputer Scienceen_US
dc.titleSub-band Coding of Hexagonal Imagesen_US
dc.typemaster thesisen_US
thesis.degree.disciplineComputer Scienceen_US
thesis.degree.grantorUniversity of Calgaryen_US
thesis.degree.nameMaster of Science (MSc)en_US
ucalgary.item.requestcopytrueen_US
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