Detail publikačního výsledku

Binocular Computer Vision Based on Conformal Geometric Algebra

HRDINA, J.; NÁVRAT, A.

Original Title

Binocular Computer Vision Based on Conformal Geometric Algebra

English Title

Binocular Computer Vision Based on Conformal Geometric Algebra

Type

WoS Article

Original Abstract

We apply the conformal geometric algebra (CGA) to the generalized binocular vision problem. More precisely, we reconstruct a 3D line from its images on the image planes of two cameras whose mutual position is specified by a given Euclidean transformation which depends on an arbitrary number of parameters. We represent all transformations by CGA elements which allows us to derive the general equations of 3D line reconstruction by formal CGA elements manipulation. The transformation equations can be solved w.r.t. either motor or projection unknown parameters. We present two specific examples, show the explicit form of two particular motors and solve the appropriate equations completely.

English abstract

We apply the conformal geometric algebra (CGA) to the generalized binocular vision problem. More precisely, we reconstruct a 3D line from its images on the image planes of two cameras whose mutual position is specified by a given Euclidean transformation which depends on an arbitrary number of parameters. We represent all transformations by CGA elements which allows us to derive the general equations of 3D line reconstruction by formal CGA elements manipulation. The transformation equations can be solved w.r.t. either motor or projection unknown parameters. We present two specific examples, show the explicit form of two particular motors and solve the appropriate equations completely.

Keywords

Conformal geometric algebra; Clifford algebra; Binocular vision; Projective geometry

Key words in English

Conformal geometric algebra; Clifford algebra; Binocular vision; Projective geometry

Authors

HRDINA, J.; NÁVRAT, A.

RIV year

2018

Released

27.08.2017

Publisher

Springer Basel AG

Location

Basel, Switzerland

ISBN

1661-4909

Periodical

Advances in Applied Clifford Algebras

Volume

27

Number

3

State

Swiss Confederation

Pages from

1945

Pages to

1959

Pages count

15

URL

https://link.springer.com/article/10.1007/s00006-017-0764-4

Full text in the Digital Library

http://hdl.handle.net/

BibTex

@article{BUT138915,
  author="Jaroslav {Hrdina} and Aleš {Návrat}",
  title="Binocular Computer Vision Based on Conformal Geometric Algebra",
  journal="Advances in Applied Clifford Algebras",
  year="2017",
  volume="27",
  number="3",
  pages="1945--1959",
  doi="10.1007/s00006-017-0764-4",
  issn="0188-7009",
  url="https://link.springer.com/article/10.1007/s00006-017-0764-4"
}