Cover
Chinese Abstract
Abstract
Acknowledgments
Contents
List of Figures
List of Tables
1 Introduction
2 The Multi-Resolution Wavelet Analysis
2.1 Multi-Resolution Vector Space
2.1.1 Orthonormal and Biothonrmal Wavelet Analysis
2.1.2 Wavelet Pyramid
2.2 Wavelet Series and Wavelt Transform
2.2.1 Wavelet Series Expansion and Continuous Wavelet Analysis
2.2.2 Discrete Wavelet Transform
3 Wavelet Transform and Multi-Rate Signal Filtering
3.1 Multi-Rate Signal Filtering
3.2 M-ary Extension of Wavelet Transform
3.3 Relationship between Wavelet Transform and Multi-Rate Signal Filtering
3.3.1 Complementary Signal Space Decomposition
3.3.2 PracticalConsiderations
3.4 Vector Space Projection Approach for PR Filter Banks Design
3.4.1 Necessary and Sufficient Condition for PR Filter Banks
3.4.2 Frequency Specification and Optimization Procedure
3.4.3 Experimental Results
4 Fast Visual Surface Interpolation Using Multi-Resolution Wavelet Transform
4.1 The Visual Surface Interpolation Problem
4.2 Mathematical Formulation
4.2.1 Regularization and Discretization
4.2.2 Computational Considerations
4.2.3 Multi-Resolution Basis Transfer Scheme
4.3 Fast Surface Interpolation Algorithm
4.3.1 The Asynchronous Iterative Computation method
4.3.2 Preconditioning by Basis Transfer
4.4 Experiments and Analysis
4.4.1 Experimental Results
4.4.2 Analysis
5 Conclusion and Discussion
Bibliography
Publication list
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