Researchers presenting a detailed academic poster titled "Revisiting Sampson Approximation for Geometric Estimation Problems" at a conference. The poster, created by Felix Rydell, Angélica Torres, and Viktor Larsson from institutions including KTH Royal Institute of Technology, Lund University, and the Max Planck Institute for Mathematics in the Sciences, focuses on geometric and Sampson errors in geometric estimation. It includes mathematical formulas, graphical representations, and new bounds on approximation methods. Attendees can be seen engaging with the presenters, discussing the intricacies of the research. A nearby laptop on a stand displays a related visual, enhancing the interactive experience. The setting appears to be a bustling conference hall with overhead lighting and various participants mingling.
Text transcribed from the image:
Revisiting Sampson Approximation for Geometric Estimation Problems
Felix Rydell, Angélica Torres, Viktor Larsson

Geometric Error

Measures how much we must perturb data (image points) for it to satisfy the model (epipolar constraint).
Example:
Two-view reprojection error or equivalently formulated as

or equivalently formulated as

Caveat: Does not always has a closed form solution

Sampson Error

A least approximation of the geometric error is the Sampson error:

Has closed form solution!
Example: Two-view reprojection error

New bounds on approximation!

Our contribution: Explicit bounds on the Sampson approximation in terms of the true geometric error!

The Right inequality always holds. The left inequality holds if and