Detail publikace

Binocular Computer Vision Based on Conformal Geometric Algebra

HRDINA, J. NÁVRAT, A.

Originální název

Binocular Computer Vision Based on Conformal Geometric Algebra

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

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

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

Autoři

HRDINA, J.; NÁVRAT, A.

Vydáno

27. 8. 2017

Nakladatel

Springer Basel AG

Místo

Basel, Switzerland

ISSN

1661-4909

Periodikum

Advances in Applied Clifford Algebras

Ročník

27

Číslo

3

Stát

Švýcarská konfederace

Strany od

1945

Strany do

1959

Strany počet

15

URL

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

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="1661-4909",
  url="https://link.springer.com/article/10.1007/s00006-017-0764-4"
}