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New Clustering Algorithm for Vector Quantization using Walsh Sequence

by H. B. Kekre, Tanuja K. Sarode, Jagruti K. Save
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 39 - Number 1
Year of Publication: 2012
Authors: H. B. Kekre, Tanuja K. Sarode, Jagruti K. Save
10.5120/4782-6985

H. B. Kekre, Tanuja K. Sarode, Jagruti K. Save . New Clustering Algorithm for Vector Quantization using Walsh Sequence. International Journal of Computer Applications. 39, 1 ( February 2012), 4-9. DOI=10.5120/4782-6985

@article{ 10.5120/4782-6985,
author = { H. B. Kekre, Tanuja K. Sarode, Jagruti K. Save },
title = { New Clustering Algorithm for Vector Quantization using Walsh Sequence },
journal = { International Journal of Computer Applications },
issue_date = { February 2012 },
volume = { 39 },
number = { 1 },
month = { February },
year = { 2012 },
issn = { 0975-8887 },
pages = { 4-9 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume39/number1/4782-6985/ },
doi = { 10.5120/4782-6985 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:25:17.425759+05:30
%A H. B. Kekre
%A Tanuja K. Sarode
%A Jagruti K. Save
%T New Clustering Algorithm for Vector Quantization using Walsh Sequence
%J International Journal of Computer Applications
%@ 0975-8887
%V 39
%N 1
%P 4-9
%D 2012
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper we present an effective clustering algorithm to generate codebook for vector quantization (VQ). Constant error is added every time to split the clusters in LBG, resulting in formation of cluster in one direction which is 1350 in 2-dimensional case. Because of this reason clustering is inefficient resulting in high MSE in LBG. To overcome this drawback of LBG proportionate error is added to change the cluster orientation in KPE. Though the cluster orientation in KPE is changed, its variation is limited to ± 450 over 1350. KEVR introduces new orientation every time to split the clusters. But in KEVR the error vector sequence is the binary representation of numbers, so the cluster orientation change slowly in every iteration. To overcome this drawback we propose the technique which uses Walsh sequence to rotate the error vector. The proposed technique (Kekre’s error vector rotation using Walsh – KEVRW) is based on KEVR algorithm. The proposed methodology is tested on different training images for code books of sizes 128, 256, 512, 1024. Our result shows that KEVRW gives less MSE and high PSNR compared to LBG, KPE and KEVR.

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Index Terms

Computer Science
Information Sciences

Keywords

Codebook Code vector Encoding Walsh Function Codebook Generation Algorithm Image Compression.

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