声明
ABSTRACT
摘要
Table of Content
Chapter 1 INTRODUCTION
1．1．Scope
1．2．Contributions
1．3．Organization
Chapter 2 BACKGROUND AND LITERATURE REVIEW
2．1 Correspondence Problem
2．1．1 Full vs． Partial Correspondence
2．1．2 Dense vs．Sparse Correspondence
2．2 Specialization of the Correspondence Methods
2．2．1 Non-isometric methods
2．2．2 Isometric methods
2．3 Classes of Shapes
2．3．1 Rigid Shapes
2．3．2 Non-rigid Shapes
2．4．1 Geodesic Distance
2．4．2 Diffusion Distance
2．4．3 Commute-Time Distance
2．4．4 Biharmonic Distance
2．5 Shape Sampling
2．5．1 Uniform Sampling
2．5．2 Evenly-spaced Sampling
2．6 Shape Embedding
2．6．1 Euclidean Embedding
2．6．2 Non-Euclidean Embedding
Chapter 3 SPECTRAL MULTIDIMENSIONAL SCALING USING BIHARMONIC DISTANCE
3．1 Literature Review
3．2 Computing Biharmonic Distance
3．3 Spectral Multidimensional Scaling
3．4 Spectral MDS using Biharmonic Distance
3．5 Experimental Results and Discussion
3．6 Conclusion
Chapter 4 CONCLUSIONS AND FUTURE PROSPECT
ACKNOWLEDGEMENTS
REFERENCES
RESEARCH RESULTS AND PROJECT SPONSORS
APPENDIX
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