How to reconstruct scenes from images using geometry and algebra, with applications to computer vision.
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Recent developments in the theory and practice of scene reconstruction are described in detail in a unified framework. The distinctive flavour is that the approach is uncalibrated. Geometric principles and their algebraic representation are covered, enabling readers to understand the projective geometry and estimation algorithms presented, and implement them directly.
Introduction; Part I. The Background: Projective Geometry, Transformations and Estimation: 1. Outline of Part I; 2. Projective geometry and transformations of 2D; 3. Projective geometry and transformations of 3D; 4. Estimation – 2D projective transforms; Part II. Camera Geometry and Single View Geometry: 6. Outline of Part II; 6. Camera models; 7. Camera calibration; 8. More single view geometry; Part III. Two View Geometry: 9. Outline of Part III; 10. Epipolar geometry and the fundamental matrix; 11. 3D reconstruction and structure computations; 12. Computation of F; 13. Structure computation; 14. The case of planes; 15. Affine epipolar geometry; Part IV. Three View Geometry: 16. Outline of Part IV; 17. The trifocal tensor; 18. Computation of T; Part V. N View Geometry: 19. Outline of Part V; 20. N-linearities; 21. Computation of the quadrifocal tensor; 22. N-view computational methods; 23. Chirality; 24. Degenerate configurations; 25. Auto-calibration; 26. Image rectification; Appendix 1. Useful formulas; Appendix 2. Tensor notation; Appendix 3. Gaussian (normal) and chi-squared distributions; Appendix 4. Numerical algorithms; Bibliography; Index.
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