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Image Compression by Using Haar Wavelet Transform and Singualr Value Decomposition
Linnaeus University, Faculty of Science and Engineering, School of Computer Science, Physics and Mathematics.
Linnaeus University, Faculty of Science and Engineering, School of Computer Science, Physics and Mathematics.
2011 (English)Independent thesis Advanced level (degree of Master (Two Years)), 15 credits / 22,5 HE creditsStudent thesis
Abstract [en]

The rise in digital technology has also rose the use of digital images. The digital imagesrequire much storage space. The compression techniques are used to compress the dataso that it takes up less storage space. In this regard wavelets play important role. Inthis thesis, we studied the Haar wavelet system, which is a complete orthonormal systemin L2(R): This system consists of the functions j the father wavelet, and y the motherwavelet. The Haar wavelet transformation is an example of multiresolution analysis. Ourpurpose is to use the Haar wavelet basis to compress an image data. The method ofaveraging and differencing is used to construct the Haar wavelet basis. We have shownthat averaging and differencing method is an application of Haar wavelet transform. Afterdiscussing the compression by using Haar wavelet transform we used another method tocompress that is based on singular value decomposition. We used mathematical softwareMATLAB to compress the image data by using Haar wavelet transformation, and singularvalue decomposition.

Place, publisher, year, edition, pages
2011. , 60 p.
Keyword [en]
Multi resolution analysis; Haar wavelet transformation(MRA); Average and difference method; Singular value decomposition(SVD).
National Category
Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-11467OAI: oai:DiVA.org:lnu-11467DiVA: diva2:412929
Subject / course
Mathematics
Educational program
Mathematics and Modelling, Master Programme, 120 credits
Presentation
2010-09-27, B2034, Växjö, 18:45 (English)
Uppsok
Physics, Chemistry, Mathematics
Supervisors
Examiners
Available from: 2011-04-27 Created: 2011-04-26 Last updated: 2012-03-29Bibliographically approved

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fulltext(4880 kB)2013 downloads
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