#6778. Sub-band coding of hexagonal images

December 2026publication date
Proposal available till 26-05-2025
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Journal’s subject area:
Electrical and Electronic Engineering;
Computer Vision and Pattern Recognition;
Signal Processing;
Software;
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Abstract:
According 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 paper, 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 low bits per pixel representations compared to the tree-based coding counterparts for the Cartesian grid.
Keywords:
Hexagonal image processing; Multiresolution analysis; Sub-band coding; Tree-based wavelet compression

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