Inside Plato’s door: a tour in Multi-view Geometry
Full-day Tutorial at CVPR 2022
ΑΓΕΩΜΕΤΡΗΤΟΣ ΜΗΔΕΙΣ ΕΙΣΙΤΩ – "Let no one ignorant of geometry enter"
According to the tradition, on the door of Plato’s Academy there was an inscription that interdicted the entrance to the non-experts in geometry. This tutorial wants to open the door of multi-view geometry to the non-experts and provides a tour of this discipline from classical foundations to recent trends.
Nowadays we are experiencing a resurgence of interest in the traditional methods of Computer Vision. While the dazzling success of deep learning has inspired the research throughout the last decade, the geometry of vision has never ceased to be a fertile ground for investigation.
This tutorial offers a self-contained overview of multi-view geometry, an essential tool in Computer Vision that is at the core of several classical and modern algorithms involving a variety of applications, including 3D reconstruction, motion segmentation, visual SLAM and augmented reality.
Aimed primarily at an audience unfamiliar with these topics, this tutorial will guide the attendees on a tour that starts from the geometric foundations of 3D vision to reach up some of the research challenges that are still open in the field.
The course will introduce classical topics such as camera models, camera calibration, the epipolar geometry, and then move to multi-view relations. We will also address the problem of robust estimation and structure from motion. Special emphasis will be put on rigorous mathematical formulations and on the practical aspects that separate theory from efficient and working implementations.
Topics
Introduction
Rudiments of projective geometry
Single-view geometry
camera model
camera calibration
Two-view geometry
epipolar geometry
robust model fitting
Structure from motion
multi-view geometry
bundle adjustment
taxonomy of approaches
theoretical assumptions
Concluding remarks & active research areas
Materials
Schedule
Morning session (Geometric prelude)
9:00 - 10:00
10:00 - 10:30 break
10:30 - 12:30
12:30 - 13:30 lunch
Afternoon session (Structure from motion & conclusion)
13:30 - 15:00
15:00 - 15:30 break
15:30 - 17:00
Organizers
“This year, June 19 and 20 marks Juneteenth, a US holiday commemorating the end of slavery in the US, and a holiday of special significance in the US South. We encourage attendees to learn more about Juneteenth and its historical context, and to join the city of New Orleans in celebrating the Juneteenth holiday. You can find out more information about Juneteenth here: https://cvpr2022.thecvf.com/recognizing-juneteenth”