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Post: #1

please send me the complete information on wavelet transform for image compression applications
Post: #2

The need for application of image compression algorithms to medical arises as a result of the immense amount of data produced.The basic idea behind most of the lossy compression algorithms is to transform the image
and to project it on an orthogonal function basis in order to distribute the energy of the signal among these
decorrelated components. Fourier, Cosine and
Karhunen-Loève are the available algorithms. JPEG is based on this transform, applied to subblocks
in an image.This method is unacceptable for medical images because it introduces blocking artifacts
due to independent errors across block boundaries. The principle behind the wavelet transform is to decompose the original signal into a
series of low resolution signals associated with detail signals and at each resolution level the signals and the
details contain the information that is required to reconstruct the signal at the next higher level.Orthogonal wavelets,
biorthogonal wavelets and wavelet packets are used in image coding.


A 3.7 filter means that it has 3 coefficients for analysis and 7 coefficients for reconstruction.
The MRI images use about 16 megabytes (Mb) of
storage space and may contain over 100 (256 x 256 pixels x 12 bit) images. The compression of axial MR images is done using using wavelet packets and the biorthogonal 4,4 filters. Comparing, wavelets and wavelet packets obtain better results than cosine and fourier transforms. In the experiment , 256 x 256 pixel x 12 bit MR axial slices were employed and initially 3 level wavelet
packet decomposition was performed, using spline biorthogonal filters and the Shannon entropy criterion
for a 33:1 compression rate. a 3 level decomposition was carried out first in order to
reduce computation time and then, a five level decomposition was performed
for the best filter coefficients in order to improve image quality. The filters which were used were 1.3, 1.5, 2.2,
2.4, 2.6, 2.8, 3.1, 3.3, 3.5, 3.7, 3.9, 4.4, 5.5 and 6.8, where the first digit is the number of coefficients for
analysis and the second number, the coefficients for reconstruction.


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