“…If D (i, j) is significant then it is split into L (i, j) plus 4 sets D (l, m) of a single element with (l, m) ä O (i, j). The complete descriptions of the SPIHT encoding and decoding algorithms are given in [27,28].…”
This paper presents a lossy compression method for noisy images. The main contributions in this paper are : improve the performance of noisy image compression algorithms by using partial differential equations (PDEs) as an image preprocessing filter and show that it is more advantageous to apply a restoration filter before compressing noise images.
Method :The preprocessing filter is applied to the noisy image first. A comparing of the obtained outcomes with those in the scientific literature devoted to the restoration of noisy images is performed. The filtered image is then submitted to a compression algorithm. The compression algorithm employed is a hybrid of the following : DWT+SPIHT+HUFFMAN. 
Results:The simulation results demonstrate that the suggested technique is as efficient as approaches described in the scientific literature for picture compression and/or image restoration.

“…If D (i, j) is significant then it is split into L (i, j) plus 4 sets D (l, m) of a single element with (l, m) ä O (i, j). The complete descriptions of the SPIHT encoding and decoding algorithms are given in [27,28].…”
This paper presents a lossy compression method for noisy images. The main contributions in this paper are : improve the performance of noisy image compression algorithms by using partial differential equations (PDEs) as an image preprocessing filter and show that it is more advantageous to apply a restoration filter before compressing noise images.
Method :The preprocessing filter is applied to the noisy image first. A comparing of the obtained outcomes with those in the scientific literature devoted to the restoration of noisy images is performed. The filtered image is then submitted to a compression algorithm. The compression algorithm employed is a hybrid of the following : DWT+SPIHT+HUFFMAN. 
Results:The simulation results demonstrate that the suggested technique is as efficient as approaches described in the scientific literature for picture compression and/or image restoration.

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