Publication detail

Vanishing Points in Point-to-Line Mappings and Other Line Parameterizations

HAVEL, J. HEROUT, A. JURÁNKOVÁ, M.

Original Title

Vanishing Points in Point-to-Line Mappings and Other Line Parameterizations

English Title

Vanishing Points in Point-to-Line Mappings and Other Line Parameterizations

Type

journal article - other

Language

en

Original Abstract

Some variants of the Hough transform can be used for detecting vanishing points and groups of concurrent lines. This article addresses a common misconception that in the polar line parameterization the vanishing point is represented by a line. The numerical error caused by this inaccuracy is then estimated. The article studies in detail point-to-line-mappings (PTLMs) -- a class of line parameterizations which have the property that the vanishing point is represented by a line (and thus can be easily searched for). When a PTLM parameterization is used for the straight line detection by the Hough transform, a pair or a triplet of complementary PTLMs has to be used in order to obtain a limited Hough space. The complementary pairs and triplets of PTLMs are formalized and discussed in this article.

English abstract

Some variants of the Hough transform can be used for detecting vanishing points and groups of concurrent lines. This article addresses a common misconception that in the polar line parameterization the vanishing point is represented by a line. The numerical error caused by this inaccuracy is then estimated. The article studies in detail point-to-line-mappings (PTLMs) -- a class of line parameterizations which have the property that the vanishing point is represented by a line (and thus can be easily searched for). When a PTLM parameterization is used for the straight line detection by the Hough transform, a pair or a triplet of complementary PTLMs has to be used in order to obtain a limited Hough space. The complementary pairs and triplets of PTLMs are formalized and discussed in this article.

Keywords

line parameterization, Hough transform, vanishing points, camera calibration

RIV year

2013

Released

18.01.2013

Publisher

NEUVEDEN

Location

NEUVEDEN

Pages from

703

Pages to

708

Pages count

6

Documents

BibTex


@article{BUT103449,
  author="Jiří {Havel} and Adam {Herout} and Markéta {Juránková}",
  title="Vanishing Points in Point-to-Line Mappings and Other Line Parameterizations",
  annote="Some variants of the Hough transform can be used for detecting vanishing points
and groups of concurrent lines. This article addresses a common misconception
that in the polar line parameterization the vanishing point is represented by
a line. The numerical error caused by this inaccuracy is then estimated.

The article studies in detail point-to-line-mappings (PTLMs) -- a class of line
parameterizations which have the property that the vanishing point is represented
by a line (and thus can be easily searched for). When a PTLM parameterization is
used for the straight line detection by the Hough transform, a pair or a triplet
of complementary PTLMs has to be used in order to obtain a limited Hough space.
The complementary pairs and triplets of PTLMs are formalized and discussed in
this article.",
  address="NEUVEDEN",
  chapter="103449",
  doi="10.1016/j.patrec.2013.01.020",
  edition="NEUVEDEN",
  howpublished="print",
  institution="NEUVEDEN",
  number="34",
  volume="2013",
  year="2013",
  month="january",
  pages="703--708",
  publisher="NEUVEDEN",
  type="journal article - other"
}