Guide to Three Dimensional Structure and Motion Factorization

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Guide to Three Dimensional Structure and Motion Factorization / Guanghui Wang, Q. M. Jonathan Wu

資料種別:

電子ブック

出版情報:

Springer eBooks Computer Science
Springer London, 2011

著者名:

ISBN:

9780857290458 [0857290452]
9786612973062 [6612973064]

書誌ID:

OB00351147

子書誌情報

フルテキスト

所蔵情報

書誌詳細

言語:

英語

目次情報:

Introduction to 3D Computer Vision / 1：

Introduction / 1.1：

Imaging Geometry and Camera Models / 1.2：

Camera Models / 1.2.1：

Single View Imaging Geometry / 1.2.2：

Single View Metrology and Reconstruction / 1.3：

Measurement on Space Planes / 1.3.1：

Camera Calibration from a Single View / 1.3.2：

Measurement in 3D Space / 1.3.3：

Examples of Single View Reconstruction / 1.3.4：

Two-View Geometry and 3D Reconstruction / 1.4：

Epipolar Geometry and Fundamental Matrix / 1.4.1：

Three Dimensional Reconstruction / 1.4.2：

Reconstruction of Structured Scenes from Two Images / 1.5：

Plane Detection Strategy / 1.5.1：

Camera Calibration and Reconstruction / 1.5.2：

Closure Remarks / 1.6：

Conclusion / 1.6.1：

Review Questions / 1.6.2：

References

Simplified Camera Projection Models / 2：

Affine Projection Model / 2.1：

Quasi-Perspective Projection / 2.3：

Error Analysis of Different Models / 2.3.1：

Experimental Evaluations / 2.4：

Imaging Errors / 2.4.1：

Influence of Imaging Conditions / 2.4.2：

Geometrical Properties of Quasi-Perspective Projection / 2.5：

One-View Geometrical Property / 3.1：

Two-View Geometrical Property / 3.3：

Fundamental Matrix / 3.3.1：

Plane Induced Homography / 3.3.2：

Computation with Outliers / 3.3.3：

3D Structure Reconstruction / 3.4：

Evaluations on Synthetic Data / 3.5：

Fundamental Matrix and Homography / 3.5.1：

Outlier Removal / 3.5.2：

Reconstruction Result / 3.5.3：

Evaluations on Real Images / 3.6：

Test on Stone Dragon Images / 3.6.1：

Test on Medusa Head Images / 3.6.2：

Introduction to Structure and Motion Factorization / 3.7：

Problem Definition / 4.1：

Structure and Motion Factorization of Rigid Objects / 4.3：

Rigid Factorization Under Orthographic Projection / 4.3.1：

Rigid Factorization Under Perspective Projection / 4.3.2：

Structure and Motion Factorization of Nonrigid Objects / 4.4：

Bregler's Deformation Model / 4.4.1：

Nonrigid Factorization Under Affine Models / 4.4.2：

Nonrigid Factorization Under Perspective Projection / 4.4.3：

Factorization of Multi-Body and Articulated Objects / 4.5：

Multi-Body Factorization / 4.5.1：

Articulated Factorization / 4.5.2：

Perspective 3D Reconstruction of Rigid Objects / 4.6：

Previous Works on Projective Depths Recovery / 5.1：

Epipolar Geometry Based Algorithm / 5.2.1：

Iteration Based Algorithm / 5.2.2：

Hybrid Projective Depths Recovery / 5.3：

Initialization and Optimization / 5.3.1：

Selection of Reference Frames / 5.3.2：

Camera Calibration and Euclidean Reconstruction / 5.4：

Camera Self-calibration / 5.4.1：

Euclidean Reconstruction / 5.4.2：

Outline of the Algorithm / 5.4.3：

Projective Depths Recovery / 5.5：

Calibration and Reconstruction / 5.5.2：

Evaluations on Real Sequences / 5.6：

Test on Model House Sequence / 5.6.1：

Test on Stone Post Sequence / 5.6.2：

Test on Medusa Head Sequence / 5.6.3：

Perspective 3D Reconstruction of Nonrigid Objects / 5.7：

Perspective Depth Scales and Nonrigid Factorization / 6.1：

Perspective Depth Scales / 6.2.1：

Nonrigid Affine Factorization / 6.2.2：

Perspective Stratification / 6.3：

Linear Recursive Estimation / 6.3.1：

Nonlinear Optimization Algorithm / 6.3.2：

Reconstruction Results / 6.4：

Convergence and Performance Comparisons / 6.4.2：

Experiments with Real Sequences / 6.5：

Test on Franck Sequence / 6.5.1：

Test on Scarf Sequence / 6.5.2：

Rotation Constrained Power Factorization / 6.6：

Power Factorization for Rigid Objects / 7.1：

Power Factorization for Nonrigid Objects / 7.3：

Initialization and Convergence Determination / 7.3.1：

Sequential Factorization / 7.3.3：

Reconstruction Results and Evaluations / 7.4：

Convergence Property / 7.4.2：

Test on Grid Sequence / 7.4.3：

Test on Quilt Sequence / 7.5.2：

Stratified Euclidean Reconstruction / 7.6：

Deformation Weight Constraint / 8.1：

Nonrigid Factorization / 8.2.1：

Geometrical Explanation / 8.2.2：

Affine Structure and Motion Recovery / 8.3：

Constrained Power Factorization / 8.3.1：

Initalization and Convergence Determination / 8.3.2：

Segmentation and Stratification / 8.4：

Deformation Detection Strategy / 8.4.1：

Stratification to Euclidean Space / 8.4.2：

Implementation Outline / 8.4.3：

Convergence Property and Segmentation / 8.5：

Test on Toy Sequence / 8.6：

Quasi-Perspective Factorization / 8.7：

Background on Factorization / 9.1：

Quasi-Perspective Rigid Factorization / 9.3：

Euclidean Upgrading Matrix / 9.3.1：

Algorithm Outline / 9.3.2：

Quasi-Perspective Nonrigid Factorization / 9.4：

Problem Formulation / 9.4.1：

Evaluation on Rigid Factorization / 9.4.2：

Evaluation on Nonrigid Factorization / 9.5.2：

Evaluations on Real Image Sequences / 9.6：

Test on Fountain Base Sequence / 9.6.1：

Projective Geometry for Computer Vision / 9.6.2：

2D Projective Geometry / A.1：

Points and Lines / A.1.1：

Conics and Duel Conics / A.1.2：

2D Projective Transformation / A.1.3：

3D Projective Geometry / A.2：

Points, Lines, and Planes / A.2.1：

Projective Transformation and Quadrics / A.2.2：

Matrix Decomposition / Appendix B：

Singular Value Decomposition / B.1：

Properties of SVD Decomposition / B.1.1：

Low-Rank Matrix Approximation / B.1.2：

QR and RQ Decompositions / B.2：

Symmetric and Skew-Symmetric Matrix / B.3：

Cross Product / B.3.1：

Cholesky Decomposition / B.3.2：

Extended Cholesky Decomposition / B.3.3：

Numerical Computation Method / Appendix C：

Linear Least Squares / C.1：

Full Rank System / C.1.1：

Deficient Rank System / C.1.2：

Nonlinear Estimation Methods / C.2：

Bundle Adjustment / C.2.1：

Newton Iteration / C.2.2：

Levenberg-Marquardt Algorithm / C.2.3：

Glossary

Index

Introduction to 3D Computer Vision / 1：

Introduction / 1.1：

Imaging Geometry and Camera Models / 1.2：

Camera Models / 1.2.1：

Single View Imaging Geometry / 1.2.2：

Single View Metrology and Reconstruction / 1.3：

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