Abstract
The main result of this paper is that a projection of the classical Hough transform for line detection onto a subspace of the parameter space (accumulator) will yield a useless trivial result if the composite operator consisting of projection and Hough transform is assumed to be linear and translation invariant.
This is a preview of subscription content, log in via an institution.
Preview
Unable to display preview. Download preview PDF.
References
Adams RA (1975) Sobolev Spaces. New York, San Francisco, London: Academic Press
Ballard DH (1981) Generalizing the Hough transform to detect arbitrary shapes. Pattern Recognition 13:111–122
Ballard DH, Sabbah D (1983) Viewer independent shape recognition. IEEE Trans. PAMI-5: 653–660
Biland HP, Wahl FM (1986) Understanding Hough space for polyhedral scene decomposition. IBM Zürich Research Laboratory, RZ 1458 (# 52978) 3/25/86
Brown CM, Sher DB (1982) Hough transformation into cache accumulators: Considerations and simulations. TR 114, Department of Computer Science, University of Rochester
Deans SR (1983) The Radon Transform and Some of Its Applications. New York, Chichester, Brisbane, Toronto, Singapore: John Wiley and Sons
Duda RO, Hart PE (1972) Use of the Hough transform to detect lines and curves in pictures. Communications of the ACM 15: 11–15
Eckhardt U, Maderlechner G (1987) Projections of the Hough transform. Manuscript Universität Hamburg
Gerig G, Klein F (1986) Fast contour identification through efficient Hough transform and simplified interpretation strategy. IAPR — afcet: Eighth International Conference on Pattern Recognition. Paris, France, October 27–31, 1986
Gerig G (1987) Segmentierung zur symbolischen Beschreibung von Strukturen in Grauwertbildern. Zürich: Dissertation ETH Nr. 8390
Hough PVC (1962) Method and means for recognizing complex patterns. U.S. Patent 3,069,654. Washington: United States Patent Office, December 18, 1962
Kushnir M, Abe K, Matsumoto K (1985) Recognition of handprinted Hebrew characters using features selected in the Hough transform space. Pattern Recognition 18: 103–114
Merlin PM, Farber DJ (1975) A parallel mechanism for detecting curves in pictures. IEEE Trans. C-24: 96–98
Neveu CF, Dyer CR, Chin RT (1986) Two-dimensional object recognition using multi-resolution models. Computer Vision, Graphics, and Image Processing 34:52–65
O'Rourke J (1981) Dynamically quantized spaces for focusing the Hough transform. In: Proceedings of the Seventh International Joint Conference on Artificial Intelligence, 24–28 August 1981, University of British Columbia, Vancouver, B.C., Canada, pp. 737–739
Radon J (1917) Über die Bestimmung von Funktionen durch ihre Integralwerte längs gewisser Mannigfaltigkeiten. Ber. Verh. Sächs. Akad. Wiss. Leipzig, Math.-Nat. Kl. 69: 262–277
Silberberg TM, Davis L, Harwood D (1984) An iterative Hough procedure for three-dimensional object recognition. Pattern Recognition 17: 621–629
Sloan KR (1981) Dynamically quantized pyramids. In: Proceedings of the Seventh International Joint Conference on Artificial Intelligence, 24–28 August 1981, University of British Columbia, Vancouver, B.C., Canada, pp. 734–736
Wallace RS (1985) A modified Hough transform for lines. IEEE Computer Society Conference on Computer Vision and Pattern Recognition, June 19–23, 1985, San Francisco, California, pp. 665–667. Silver Spring: IEEE Computer Society Press. Amsterdam: North-Holland Publishing Company
Yalamanchili S, Aggarwal JK (1985) A system organization for parallel image processing. Pattern Recognition 18: 17–29.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1988 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Eckhardt, U., Maderlechner, G. (1988). Application of the projected hough transform in picture processing. In: Kittler, J. (eds) Pattern Recognition. PAR 1988. Lecture Notes in Computer Science, vol 301. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-19036-8_37
Download citation
DOI: https://doi.org/10.1007/3-540-19036-8_37
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-19036-3
Online ISBN: 978-3-540-38947-7
eBook Packages: Springer Book Archive