Detail publikace

Binocular Computer Vision Based on Conformal Geometric Algebra

HRDINA, J. NÁVRAT, A.

Anglický název

Binocular Computer Vision Based on Conformal Geometric Algebra

Typ

Článek WoS

Jazyk

en

Originální abstrakt

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.

Klíčová slova anglicky

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

Vydáno

2017-08-27

Nakladatel

Springer Basel AG

Místo

Basel, Switzerland

ISSN

1661-4909

Časopis

Advances in Applied Clifford Algebras

Ročník

27

Číslo

3

Strany od–do

1945–1959

Počet stran

15

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"
}