Publication result detail

Fisheye correction by CGA non-linear transformation

HRDINA, J.; NÁVRAT, A.; VAŠÍK, P.; MATOUŠEK, R.

Original Title

Fisheye correction by CGA non-linear transformation

English Title

Fisheye correction by CGA non-linear transformation

Type

WoS Article

Original Abstract

We provide a non‐linear image transformation by means of conformal geometric algebra (CGA) elements and operations. We show the correspondence to the fisheye correction algorithms; more precisely, we prove the proportionality of classical models with CGA algorithm and provide exact formula in terms of CGA. Consequently, we show that the geometric construction allows to determine the inverse model quite universally.

English abstract

We provide a non‐linear image transformation by means of conformal geometric algebra (CGA) elements and operations. We show the correspondence to the fisheye correction algorithms; more precisely, we prove the proportionality of classical models with CGA algorithm and provide exact formula in terms of CGA. Consequently, we show that the geometric construction allows to determine the inverse model quite universally.

Keywords

conformal geometric algebra, fisheye correction

Key words in English

conformal geometric algebra, fisheye correction

Authors

HRDINA, J.; NÁVRAT, A.; VAŠÍK, P.; MATOUŠEK, R.

RIV year

2019

Released

30.06.2018

Publisher

John Wiley & Sons, Ltd.

Location

United Kingdom

ISBN

1099-1476

Periodical

MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Volume

41

Number

11

State

United Kingdom of Great Britain and Northern Ireland

Pages from

4106

Pages to

4116

Pages count

11

BibTex

@article{BUT148403,
  author="Jaroslav {Hrdina} and Aleš {Návrat} and Petr {Vašík} and Radomil {Matoušek}",
  title="Fisheye correction by CGA non-linear transformation",
  journal="MATHEMATICAL METHODS IN THE APPLIED SCIENCES",
  year="2018",
  volume="41",
  number="11",
  pages="4106--4116",
  doi="10.1002/mma.4455",
  issn="0170-4214"
}