TSBB06 Multidimensional Signal Analysis
Teaching Plan HT1
| Lecture | Lesson | Computer Exercise | Content | Related Material |
|---|---|---|---|---|
| 1A | Homogeneous representations in 2D |
IREG chapters 3 and Toolbox sections 3.7.3 and 7.1, and browse through IREG chapters 1 and 2, and Part I of the Toolbox. Videos: Projective Spaces and The cross product operator |
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| 1B | Transformations in 2D |
IREG chapter 4. Video: Groups-1-Intro and Groups-2-Example. |
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| 1C | Homogeneous representations in 3D | IREG chapters 5–6. | ||
| 1 | Homogeneous representations | Problems on exercise sheet 1 (answers). (You may also consider sections 1–5 in the old exercises, with answers.) | ||
| 1D | Least-squares, SVD, intro to estimation |
Toolbox sections 3.4.2 and 8.2, and IREG chapter 12 Video: Singular value decomposition. |
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| 1E | The pinhole camera, Kronecker product & vectorisation |
IREG chapter 8. Video: the pinhole camera from Kahn Acedemy. Videos (extra): The Kronecker product and Vectorisation. |
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| 1F | Homographies, DLT | IREG chapters 7, 9 and 13 | ||
| 2 | Homogeneous representations, estimation | Problems on exercise sheet 2 (answers). You may also consider sections 6–9 in the old exercises, with answers.) | ||
| 1G | Stereo geometry, epipolar geometry and triangulation |
(IREG) Chapter 8 (except 8.5) and sections 10.1–10.2 (HZ) Sections 9.1–9.2 + 11.2 + 12.1–12.2 C. Loop and Z. Zhang, Computing Rectifying Homographies for Stereo Vision, In Proceedings of CVPR 1999 (accessible from LiU IP-addresses). Video: The fundamental matrix (annotated). |
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| A | Estimation in practice | Lab Notebook | ||
| 1H | Estimation of rigid transformations | IREG sections 10.4, 16.1 and 15.1 | ||
| B | Stereo geometry | Lab files (requires login) | ||
| 3 | Stereo Geometry and Triangulation | Problems on exercise sheet 3 (answers). Sections 23–25 in the exercises (answers). |