Publication detail

Monocular Kinematics Based on Geometric Algebra

STODOLA, M.

Original Title

Monocular Kinematics Based on Geometric Algebra

English Title

Monocular Kinematics Based on Geometric Algebra

Type

conference paper

Language

en

Original Abstract

When reconstructing 3D scene by an autonomous system we usually use a pin hole camera. To adopt the result for a human vision, this camera must be replaced by a human eye-like device. Therefore we derive certain characteristics of this model in an appropriate mathematical formalism. In particular, we escribe the general position of a human eye and its movements using the notions of geometric algebra. The assumption is that the eye is focused on distant targets. As the main result, we describe the eye position and determine all axes of rotation available in the eye general position in terms of geometric algebra. All the expressions are based on medically traced laws of Donders’ and Listing.

English abstract

When reconstructing 3D scene by an autonomous system we usually use a pin hole camera. To adopt the result for a human vision, this camera must be replaced by a human eye-like device. Therefore we derive certain characteristics of this model in an appropriate mathematical formalism. In particular, we escribe the general position of a human eye and its movements using the notions of geometric algebra. The assumption is that the eye is focused on distant targets. As the main result, we describe the eye position and determine all axes of rotation available in the eye general position in terms of geometric algebra. All the expressions are based on medically traced laws of Donders’ and Listing.

Keywords

Geometric algebra; Rotation; Donders’ law; Listing’s law;

Released

14.03.2019

Publisher

Springer

Location

Cham

ISBN

978-3-030-14983-3

Book

Modelling and Simulation for Autonomous Systems. MESAS 2018

Edition

Lecture Notes in Computer Science, vol 11472

Pages from

121

Pages to

129

Pages count

9

Documents

BibTex


@inproceedings{BUT161122,
  author="Marek {Stodola}",
  title="Monocular Kinematics Based on Geometric Algebra",
  annote="When reconstructing 3D scene by an autonomous system we usually use a pin hole camera. To adopt the result for a human vision, this camera must be replaced by a human eye-like device. Therefore we derive certain characteristics of this model in an appropriate mathematical formalism. In particular, we escribe the general position of a human eye and its movements using the notions of geometric algebra. The assumption is that the eye is focused on distant targets. As the main result, we describe the eye position and determine all axes of rotation available in the eye general position in terms of geometric algebra. All the expressions are based on medically traced laws of Donders’ and Listing.",
  address="Springer",
  booktitle="Modelling and Simulation for Autonomous Systems. MESAS 2018",
  chapter="161122",
  doi="10.1007/978-3-030-14984-0_10",
  edition="Lecture Notes in Computer Science, vol 11472",
  howpublished="print",
  institution="Springer",
  year="2019",
  month="march",
  pages="121--129",
  publisher="Springer",
  type="conference paper"
}