Sub-band coding of hexagonal images

被引：1

作者：

Rashid, Md Mamunur ^{[1
]}

Alim, Usman R. ^{[2
]}

机构：

[1] Seequent, Calgary, AB, Canada

[2] Univ Calgary, Dept Comp Sci, Calgary, AB, Canada

来源：

SIGNAL PROCESSING-IMAGE COMMUNICATION | 2021年 / 99卷

基金：

加拿大自然科学与工程研究理事会;

关键词：

Hexagonal image processing; Multiresolution analysis; Sub-band coding; Tree-based wavelet compression; COMPRESSION; ALGORITHM;

D O I：

10.1016/j.image.2021.116494

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

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.

引用

页数：14

共 47 条

[41]

Truhans A, 2012, P 12 INT C REL STAT

[42]

Valgaerts L., 2005, Space-Filling Curves An Introduction

[43] THE JPEG STILL PICTURE COMPRESSION STANDARD [J].

WALLACE, GK .

COMMUNICATIONS OF THE ACM, 1991, 34 (04) :30-44

[44]

Wang HQ, 2006, INT C PATT RECOG, P909

[45]

Wang HQ, 2008, J ALGORITHMS COMPUT, V2, P79, DOI 10.1260/174830108784300286

[46] Image quality assessment: From error visibility to structural similarity [J].

Wang, Z ;

Bovik, AC ;

Sheikh, HR ;

Simoncelli, EP .

IEEE TRANSACTIONS ON IMAGE PROCESSING, 2004, 13 (04) :600-612

[47] SUBBAND CODING OF IMAGES [J].

WOODS, JW ;

ONEIL, SD .

IEEE TRANSACTIONS ON ACOUSTICS SPEECH AND SIGNAL PROCESSING, 1986, 34 (05) :1278-1288

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