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TSBB06 Multidimensional Signal Analysis

Teaching Plan HT1

Lecture	Lesson	Computer Exercise	Content	Related Material
1			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
2			Transformations in 2D	IREG chapter 4. Video: Groups-1-Intro and Groups-2-Example.
3			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.)
4			Least-squares, SVD, intro to estimation, Kronecker product & vectorisation	Toolbox sections 3.4.2 and 8.2, and IREG chapter 12 Video: Singular value decomposition. Videos (extra): The Kronecker product and Vectorisation.
5			The pinhole camera	IREG chapter 8. Video: the pinhole camera from Kahn Acedemy.
6			Homographies, DLT, stereo geometry and epipolar geometry	IREG chapters 7, 9 and 13 (IREG) Chapter 8 (except 8.5) and sections 10.1–10.2 (HZ) Sections 9.1–9.2 + 11.2 + 12.1–12.2 Video: The fundamental matrix (annotated). Extra: Section 3–3.1 in M. Wadenbäck et al. Radially Distorted Homographies, Revisited, arXiv 2025.
	2		Homogeneous representations, estimation	Problems on exercise sheet 2 (answers). You may also consider sections 6–9 in the old exercises, with answers.)
7			Epipolar geometry (contd.) Triangulation Estimation of rigid transformations	IREG sections 10.4, 16.1 and 15.1 C. Loop and Z. Zhang, Computing Rectifying Homographies for Stereo Vision, In Proceedings of CVPR 1999 (accessible from LiU IP-addresses).
		A	Estimation in practice (Lab Notebook)	Mandatory preparations in Lisam
Extra
	3		Stereo Geometry and Triangulation	Problems on exercise sheet 3 (answers). Sections 23–25 in the exercises (answers).
		B	Stereo geometry