Plan for lectures, lessons, and computer exercises (HT1)
This is an old version of the course page! The new course pages will be ready shortly.
IREG: Introduction and Representation for Estimation in Geometry.
Toolbox: Mathematical Toolbox for Studies in Visual Computation at Linköping University.
In both cases, all references below are to Version 0.40.
Due to the ongoing Covid-19 pandemic, all lectures will be held remotely over Zoom (Meeting ID: 658 8071 0723).
Lecture | Lesson |
Computer
exercise |
Content | Related material |
---|---|---|---|---|
1A |
|
|
Homogeneous representations in 2D |
IREG chapters 3 and Toolbox section 7.1. Maybe also browse through IREG chapters 1 and 2, and Part I of the Toolbox. Videos: Projective Spaces and The cross product operator in the CVL video channel. |
1B |
|
|
Transformations in 2D |
IREG chapter 4 Vdeo: Groups-1-Intro and Groups-2-Example in the CVL video channel. |
1C |
|
|
Homogeneous representations in 3D | IREG chapters 5-6 |
|
1 |
|
Homogeneous representations | |
1D |
|
|
The pinhole camera, Kronecker product & vectorisation |
IREG chapter 8 Video: about the pinhole camera from Kahn Acedemy Slides for Kronecker & vec Video (extra): The Kronecker product Video (extra): Vectorisation |
1E |
|
|
Homographies, DLT | IREG chapters 7, 9 and 12 |
1F |
|
|
Least-squares, SVD, intro to estimation |
Toolbox sections 3.4.2, 3.7.3, 8.2, and IREG chapter 13 Video: Singular value decomposition at Youtube. |
|
2 |
|
Homogeneous representations, estimation
|
|
|
|
A | Estimation in practice | |
1G |
|
|
Representations of 3D rotations |
IREG chapter 11 and Toolbox section 7.2 Videos: Eig-1-Intro and Eig-2-SpectralTheorem in the CVL video channel. The Trace of a Square Matrix on Youtube. Matrix Exponentials I: Preliminaries. Matrix Exponentials II: Diagonalization. |
1H |
|
|
Estimation of rigid transformations | IREG chapter 15 |
|
3 |
|
Geometry and estimation | |
|
|
B | Estimation of rigid transformations |
Senast uppdaterad: 2022-08-28