Abstract
The Hough transform is used in picture processing for detecting linear structures in binary images. It associates to each line running through the image the integral along this line of the gray value function. There are many different possibilities for parametrizing lines in the plane and, depending on the applications under consideration, there exist many approaches for parametrization having different properties. The aim of this paper is to give a unified theoretical framework for the parametrization of the Hough transform. On the basis of this theoretical work it becomes possible to compare different parametrizations proposed so far and to construct parametrizations having desirable properties.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Biland HP, Wahl FM (1988) Hough-space decomposition for polyhedral see nes. Computer and Systems Sciences 45: 197–216. Berlin: Springer
Deans SR (1983) The Radon Transform and Some of Its Applications. New York: John Wiley and Sons
Eckhardt U, Maderlechner G (1988) Application of the projected Hough transform in picture processing. Lecture Notes in Computer Science 301: 370–379. Berlin: Springer
Eckhardt U, Scherl W, Yu Z (1987) Representation of plane curves by means of descriptors in Hough space. Universität Hamburg, Regionales Rechenzentrum, Berichte
Hough PVC (1962) Method and means for recognizing complex patterns. U.S. Patent 3,069, 654
Natterer F (1986) The Mathematics of Computerized Tomography. Stuttgart: B.G. Teubner
Quan L, Mohr R (1989) Determining perspective structures using hierarchical Hough transform. Pattern Recognition Letters 9: 279–286
Risse T (1988) Yet another parametrization for Hough transformation. Informatik-Fachberichte 180: 142–150. Berlin: Springer
Sperner E (1959) Einführung in die Analytische Geometrie und Algebra. 1. Teil, 4. durchgesehene Auflage, 2. Teil, 3. durchgesehene Auflage Göttingen: Vandenhoeck & Ruprecht
Stahs TG, Wahl FM (1989) Polyhedral object recognition by Hough space analysis. Mathematical Research 51: 165–172. Berlin: Akademie-Verlag
Wahl FM (1988) Analysing Hough nets for recognition of polyheder-like objects. 9th ICPR Rom, Proceedings 200–206
Wallace RS (1985) A modified Hough transform for lines. IEEE Computer Science Conf. on CVPR, San Francisco, Proceedings 665–667
Yu Z (1989) Stabile Analyse von Binärbildern. Thesis, Universität Hamburg
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1989 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Eckhardt, U., Maderlechner, G. (1989). Parametrization of the Hough Transform. In: Burkhardt, H., Höhne, K.H., Neumann, B. (eds) Mustererkennung 1989. Informatik-Fachberichte, vol 219. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-75102-8_5
Download citation
DOI: https://doi.org/10.1007/978-3-642-75102-8_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-51748-1
Online ISBN: 978-3-642-75102-8
eBook Packages: Springer Book Archive