Publication detail

Binocular Computer Vision Based on Conformal Geometric Algebra

HRDINA, J. NÁVRAT, A.

English title

Binocular Computer Vision Based on Conformal Geometric Algebra

Type

journal article in Web of Science

Language

en

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 in English

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

Released

27.08.2017

Publisher

Springer Basel AG

Location

Basel, Switzerland

ISSN

1661-4909

Volume

27

Number

3

Pages from–to

1945–1959

Pages count

15

BIBTEX


@article{BUT138915,
  author="Jaroslav {Hrdina} and Aleš {Návrat},
  title="Binocular Computer Vision Based on Conformal Geometric Algebra",
  year="2017",
  volume="27",
  number="3",
  month="August",
  pages="1945--1959",
  publisher="Springer Basel AG",
  address="Basel, Switzerland",
  issn="1661-4909"
}