Alim, Usman R.Rashid, MD Mamunur2019-09-182019-09-182019-09-16Rashid, M. D. M. (2019). Sub-band Coding of Hexagonal Images (Master's thesis, University of Calgary, Calgary, Canada). Retrieved from https://prism.ucalgary.ca.http://hdl.handle.net/1880/111003According 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.engUniversity 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.Hexagonal Image ProcessingSub-band CodingMultiresolution AnalysisImage CompressionComputer Sciencemaster thesishttp://dx.doi.org/10.11575/PRISM/37068