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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 65 | Issue 8 | Year 2019 | Article Id. IJMTT-V65I8P507 | DOI : https://doi.org/10.14445/22315373/IJMTT-V65I8P507

Image Compression Using Singular Value Decomposition


Gowri.P, Senbaga Priya.K, Hari Prasath.R.K, Pavithra.S
Abstract

In this modern era, everyone is fond of taking photos and selfies. But, they look for their storage space running out and the speed of their device getting reduced. In that case, we have many algorithm based on image compression techniques. Here we are to discuss how Linear algebra plays its role in the compression of images. Basically, we will be discussing how SVD is extensively used in image compression process resulting in saving computer’s memory. The main technique used in this paper is SVD algorithm and is implemented using MATLAB. Using Singular value decomposition, JPEG file is compressed and the compression ratio is obtained. We apply linear algebra (SVD) on this matrix and get a reduced matrix out of the original matrix and the image that corresponds to the reduced matrix requires much lesser storage space compared to the original image.

Keywords
Image compression, singular value decomposition, techniques involved, JPEG imagecompression ratio, image coding
References

[1] K. Mounika, D. Sri Navya Lakshmi, K. Alekya; “SVD Based Image Compression”, International Journal of Engineering Research and General Science Volume 3, Issue 2, March-April, 2015: ISSN 2091-2730
[2] H.S. Prasantha , H.L. Shashidhara , K.N. Balasubramanya Murthy; “Image compression using SVD”, International conference on computational intelligence and multimedia applications (ICCIMA-2007) volume:3
[3] B.Anusha, Y.Soujanya, E.Vyshnavi, T.Harish, S.Teja; “Image Compression Using SVD ON Labview With Vision Module”,International Journal of Computational Intelligence Research, ISSN 0973-1873 Volume 14, Number 1 (2018), pp. 59-68
[4] Henri Bruno Razafindradina, Paul Auguste Randriamitantsoa, Nicolas Raft Razafindrakoto; “Image Compression with SVD”,A New Quality Metric Based On Energy Ratio; IJCSN International Journal of Computer Science and Network, Volume 5, Issue 6, December 2016
[5] Brady Mathews, “Image Compression using Singular Value Decomposition (SVD)”, 12 December 2014, The University of Utah
[6] Sunny Verma, Jakkam Phanindra Krishna; “Image Compression and Linear Algebra”, November 15, 2013
[7] Miss Samruddhi Kahu Ms. Reena Rahate: “Image Compression using Singular Value Decomposition”, International Journal of Advancements in Research & Technology, Volume 2, Issue 8, August-2013 244
[8] https://en.wikipedia.org/wiki/Image_compression
[9]https://www.researchgate.net/publication/316682406_Tutorial_review_on_existing_image_compression_techniques
[10] https://en.wikipedia.org/wiki/Singular_value_decomposition

Citation :

Gowri.P, Senbaga Priya.K, Hari Prasath.R.K, Pavithra.S, "Image Compression Using Singular Value Decomposition," International Journal of Mathematics Trends and Technology (IJMTT), vol. 65, no. 8, pp. 74-81, 2019. Crossref, https://doi.org/10.14445/22315373/IJMTT-V65I8P507

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