Are Euler angles a useful rotation parameterisation for pose estimation with Normalizing Flows?

Giorgos Sfikas, Konstantina Nikolaidou, Foteini Papadopoulou, George Retsinas, Anastasios L. Kesidis

Abstract:

Object pose estimation is a task that is of central importance in 3D Computer Vision.
Given a target image and a canonical pose, a single point estimate may very often be
sufficient; however, a probabilistic pose output is related to a number of benefits when
pose is not unambiguous due to sensor and projection constraints or inherent object sym-
metries. With this paper, we explore the usefulness of using the well-known Euler angles
parameterisation as a basis for a Normalizing Flows model for pose estimation. Isomorphic to spatial rotation,
3D pose has been parameterized in a number of ways, either in or out of the context of parameter estimation.
We explore the idea that Euler angles, despite their shortcomings, may lead to useful models in a number of aspects, compared to a
model built on a more complex parameterisation.