English

POSEAMM: A Unified Framework for Solving Pose Problems using an Alternating Minimization Method

Computer Vision and Pattern Recognition 2019-04-11 v1 Robotics

Abstract

Pose estimation is one of the most important problems in computer vision. It can be divided in two different categories -- absolute and relative -- and may involve two different types of camera models: central and non-central. State-of-the-art methods have been designed to solve separately these problems. This paper presents a unified framework that is able to solve any pose problem by alternating optimization techniques between two set of parameters, rotation and translation. In order to make this possible, it is necessary to define an objective function that captures the problem at hand. Since the objective function will depend on the rotation and translation it is not possible to solve it as a simple minimization problem. Hence the use of Alternating Minimization methods, in which the function will be alternatively minimized with respect to the rotation and the translation. We show how to use our framework in three distinct pose problems. Our methods are then benchmarked with both synthetic and real data, showing their better balance between computational time and accuracy.

Keywords

Cite

@article{arxiv.1904.04858,
  title  = {POSEAMM: A Unified Framework for Solving Pose Problems using an Alternating Minimization Method},
  author = {Joao Campos and Joao R. Cardoso and Pedro Miraldo},
  journal= {arXiv preprint arXiv:1904.04858},
  year   = {2019}
}

Comments

12 pages, 5 figures

R2 v1 2026-06-23T08:34:39.115Z