Vanishing points in point-to-line mappings and other line parameterizations

Authors:
Jiří Havel;Adam Herout;MarkéTa Dubská
Affiliations:
Graph@FIT, Faculty of Information Technology, Brno University of Technology, Boetchova 2, 612 66 Brno, Czech Republic;Graph@FIT, Faculty of Information Technology, Brno University of Technology, Boetchova 2, 612 66 Brno, Czech Republic;Graph@FIT, Faculty of Information Technology, Brno University of Technology, Boetchova 2, 612 66 Brno, Czech Republic
Venue:
Pattern Recognition Letters
Year:
2013

Citing 8
Cited 0

A survey of the Hough transform

Computer Vision, Graphics, and Image Processing
Using vanishing points for camera calibration

International Journal of Computer Vision
Use of the Hough transformation to detect lines and curves in pictures

Communications of the ACM
Shape Detection in Computer Vision Using the Hough Transform

Shape Detection in Computer Vision Using the Hough Transform
Contribution to the Determination of Vanishing Points Using Hough Transform

IEEE Transactions on Pattern Analysis and Machine Intelligence
Point-to-line mappings as Hough transforms

Pattern Recognition Letters
Old and new straight-line detectors: Description and comparison

Pattern Recognition
PClines -- Line detection using parallel coordinates

CVPR '11 Proceedings of the 2011 IEEE Conference on Computer Vision and Pattern Recognition

Quantified Score

Hi-index	0.10

Visualization

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.