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Jun Wang 1 Background 851

Collabria 2 Wavelet Theory 851

^ ^uan 2.1 Basic Wavelet Theory and Multiresolution Analysis • 2.2 One-, Two-, and Three-Dimensional

Children s Hospital of

Los Angeles/University 3 Three-Dimensional Image Compression with Wavelet Transform 853

of Southern California 3.1 Block Diagrams • 3.2 Mathematical Formulation of the Three-Dimensional Wavelet Transform •

3.3 Wavelet Filter Selection • 3.4 Quantization • 3.5 Entropy Coding

4 Wavelet Filter Selection for a 3D Image Data Set 855

4.1 3D CT and MR Volume Data Sets • 4.2 Wavelet Filters for 2D Slice • 4.3 Wavelet Filters for the

Interslice Direction • 4.4 Comparison of 2D Wavelets, 3D Wavelets, and JPEG

References 861

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