A New Image Compression Algorithm using Haar Wavelet Transformation

Abstract

In this paper, A New Image Compression Algorithm Using Haar Wavelet Transformation is proposed. The proposed 8x8 transform matrix can be obtained by appropriately inserting some 0's and 1/2's in to the Haar Wavelet. The basis of the proposed Haar Wavelet algorithm is based on integers, and made sufficiently sparse orthogonal transform matrix. A Haar Wavelet algorithm for Fast computation is to be developed. Besides, various measures like Compression Ratio, PSNR, Threshold Value and Reconstructed Normalization are calculated. This proposed algorithm has been implemented in Mat Lab.

References

• Gregory Wallace, "The JPEG Still Picture Compression Standard," IEEE Transactions on Consumer Electronics, 1991.
• Bryan Usevitch, "A Tutorial on Modern LossyWavelet Image Compression : Foundations of JPEG 2000," IEEE Signal Processing Magazine, 2001.
• Jerome Shapiro "Embedded Image Coding Using Zerotrees of Wavelet Coefficients," IEEE Transactions in Signal Processing, 1993.
• Haweel T. I. , "A new squre wave transform based on the DCT", Signal Process. , 2001, 81, pp. 2309-2319.
• Dimitrov. V, Wahid. K, and Jullien. G, "Multiplication free 8x8 2D DCT architecture using algebraic integer encoding", Electron. Lett. , 2004, 40, (9), pp. 1310-1311.
• Piotr Porwik, Agnieszka Lisowska. ," The Haar–Wavelet Transform in Digital Image Processing: Its Status and Achievements", M ach i n e GRAP HI CS & VI S I O N vol . 13, n o. 1/2, 2004, p p . 79-98
• V. Ashok , T. Balakumaran, C. Gowrishankar, Dr. ILA. Vennila Dr. A. Nirmal kumar, "The Fast Haar Wavelet Transform for Signal & Image Processing", (IJCSIS) International Journal of Computer Science and Information Security,Vol. 7, No. 1, 2010.

Index Terms

Keywords