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Practice and Theory of Extracting 3D Information from Fish-Eye Pictures

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文摘

英文文摘

原创性声明及关于学位论文使用授权的声明

SYMBOLSDECLARATION

1. FOREWORD

1.1 Introduction of Problem

1.2 Research Status in 3D Reconstruction

1.2.1 Image-based VR

1.2.2 Depth Recognition and Computer Vision

1.2.3 3D Reconstruction Techniques

1.2.4 3D Reconstruction Using Fish-eye Pictures

1.3 Innovation in the Dissertation

1.4 Structure of the Dissertation

2. PROJECTING MODELS AND DEPTH RECOVERING RULES OF FISH-EYE PICTURES

2.1 Introduction of Fish-eye Lenses

2.2 Applications of Fish-Eye Pictures

2.3 Mathematical Models of Fish-Eye Projection

2.3.1 Polynomial Approaching Model

2.3.2 Spherical Model

2.3.3 Parabolical Model

2.3.4 Adjustable Parabolical Model

2.4 Method of Recovering Depth from Fish-Eye Picture

2.5 Projecting Characteristics of Fish-Eye Lens

2.5.1 Projecting Function of 3D Point

2.5.2 Projecting Functions of Different 3D Lines

2.5.3 Constraints in Fish-Eye Projection

3. RECONSTRUCTING SIMPLE SCENES USING FISH-EYE PICTURES UNDER SINGLE-EYE MODE

3.1 Definition of Simple Scene

3.2 Drawing Assistant Frames to Reconstruct Simple Scene

3.3 Drawing Draft to Reconstruct Simple Scene

3.3.1 Definition of Draft of Scene's Structure

3.3.2 Searching Frame From Draft

3.4 Limitations of Single-Eye Mode

4. RECONSTRUCTING COMPLEX SCENES USING FISH-EYE PICTURES UNDER DOUBLE-EYE MODE

4.1 Definition of Complex Scene

4.2 Epipolar Constraint in Fish-eye Picture

4.3 Extraction of Primary Frame

4.4 Compution of Depth Value by Stereo Fish-eye Pictures

4.5 Searching Frame From the Primary Frame

5. APPLICATIONS OF COMPUTATIONAL GEOMETRY THEORIES TO FISH-EYE RECONSTRUCTION

5.1 Art Gallery Problem

5.1.1 Definitions

5. 1.2 Main Conclusions

5.2 Single-Guard Art Gallery Problem

5.3 Double-Guard Art Gallery Problem

5.3.1 Two adjacent peaks

5.3.2 More than 2 adjacent peaks

5.3.3 Algorithm of Double-Guard Problem

5.4 Resolving Reconstruction Problems Using Art Gallery Problems

6. RESULTS AND CONCLUSIONS

7. APPENDIX A RECTIFICATION OF FISH-EYE PICTURES

7.1 Purpose of Rectification

7.2 Definition of Coordinate Systems

7.3 Rectification Principles

7.3.1 Rectification for Rotating Along One Axis

7.3.2 Rectification for Rotating Along Two Axes

7.3.3 Rectification for Rotating Arbitrarily

7.4 Examples of Rectification

8. APPENDIX B MODELING OF SCENES

8.1 Supplement of Frame

8.2 Creation of 3D Structure

8.3 Merging of Two Half Scenes

APPENDIX OF PICTURES

REFERENCES

ACKNOWLEDGEMENTS

PAPERS PUBLISHED DURING THE PH.D. RESEARCHING

学位论文评阅及答辩情况表

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摘要

该文全面在研究了利用鱼眼照片重建三维建景的理论,提出了一系列的定义、公式和定理,并给出了多个场景重建的实例作为检验,其重建结果和虚拟浏览的效果是令人满意的.

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