Data Compression with Wavelets

Data Compression with Wavelets

Rana Bassam Daoud

Supervisor(s)

Dr. Anwar Saleh -

Discussion Commity

1. Dr. Anwar Saleh (Supervisor) 2. Dr. Samir Matar (Internal examiner) 3. Dr. Saed Mallak (External examiner)

180 صفحة

Abstract :

Abstract There are two types of data compression; the first is lossless(exact) and the second is lossy (approximate). In lossless compression, all details are reserved but high compression ratios can not be achieved and this type is not considered in this thesis. The other type is the lossy compression where some details are lost in the process of compression. The size of the lost details is proportional with the the desired compression ratio which is controlled by the user. Using this type, high compression ratios can be achieved with acceptable resolution in the reconstructed data. In this thesis, a computational study of the classical Fourier transform and the relatively new wavelet transform is done. In addition, a computational comparison between the two major transforms shows that the wavelet transform is more efficient than the classical Fourier transform. The high compression ratios that can be achieved by wavelet transform lead to the introduction of several wavelet-based lossy data compression software. Examples of these are the image compressor JPEG2000 and the text compressor DJVU.

Full Article