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A Hybrid SVD Method Using Interpolation Algorithms for Image Compression
J. Izadian, A. Hosaini, Maryam Jalili
Pages - 273 - 282     |    Revised - 15-09-2012     |    Published - 24-10-2012
Published in International Journal of Image Processing (IJIP)
Volume - 6   Issue - 5    |    Publication Date - October 2012  Table of Contents
MORE INFORMATION
References   |   Cited By (1)   |   Abstracting & Indexing
KEYWORDS
SVD Method, Interpolation Method, Image Reconstruction, Compressing Image, Lossless Compression, Lossy Compression
ABSTRACT
In this paper the standard SVD method is used for image processing and is combined with some interpolation methods as linear and quadratic interpolation for reconstruction of compressed image.The main idea of the proposed method is to select a particular submatrix of main image matrix and compress it with SVD method, then reconstruct an approximation of original image by interpolation method. The numerical experiments illustrate the performance and efficiency of proposed methods.
CITED BY (1)  
1 Kekre, H. B., Sarode, T., & Natu, P. (2014). Performance Comparison of Hybrid Haar Wavelet Transform with Various Local Transforms in Image Compression using Different Error Metrics. International Journal of Image Processing (IJIP), 8(4), 186-203.
ABSTRACTING & INDEXING
1 Google Scholar 
2 CiteSeerX 
3 refSeek 
4 Scribd 
5 SlideShare 
6 PdfSR 
REFERENCES
H. Abdi. “Singular Value Decomposition (SVD) and Generalized Singular Value Decomposition (GSVD).” In N.J. Salkind (Ed.): Encyclopedia of Measurement and Statistics. Thousand Oaks (CA): Sage. pp. 907-912, 2007.
J. Stoer, R. Bulirsch. Intoduction to Numerical Analysis. translated by R.Bartels ,W.Gautschi. C.Witzgall. Springer-Verlag, second edition, (1991).
M.Sing Song. “Wavelet Image Compression.” Mathematical subject classification, 1991.
M.Sing Song. “Wavelet Image Compression”, Southern Illinois University Edwardsville Edwardsville, IL62026, USA, 2004.
P.Dostert. “An application of linear algebra to image compression.” The university of arizona. July 2009.
R. Ashino, A. Morimoto, M. Nagase, R.Vaillancourt. “Image Compression with Multiresulotion Singular Value Decomposition and Other Methods.” Mathematical and Computer Modelling. Vol. 41(6-7). pp. 773-790, 2005.
MANUSCRIPT AUTHORS
Dr. J. Izadian
- Iran
jalal_izadian@yahoo.com
Miss A. Hosaini
- Iran
Dr. Maryam Jalili
Islamic Azad University - Iran


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