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研究生:姚明華
研究生(外文):Yao, Ming Hua
論文名稱:波元轉換之研究及其在快速視覺表面重建上之應用
論文名稱(外文):Wavelet transform and its application on fast visual surface interpolation
指導教授:張文鐘
指導教授(外文):Zhang, Wen Zhong
學位類別:博士
校院名稱:國立交通大學
系所名稱:電子研究所
學門:工程學門
學類:電資工程學類
論文種類:學術論文
論文出版年:1994
畢業學年度:82
語文別:中文
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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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