Abstract
The study presented in this paper is an analysis for finding what is the minimum signal-to-noise ratio that must have a contour in order to allow its detection. For finding this minimum, all the study has been based on the analysis of the gradient vector, because this kind of algorithms are those which obtain best results. It can be concluded that: a) The analysis of the gradient vector argument is more robust than the module; b) A contour must have a signal-to-noise ratio greater than 4/5 in order to be detected, if small operators are used to obtain the gradient vector, and so a good contour location be assured.
Chapter PDF
Similar content being viewed by others
Keywords
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
References
Kim L. Boyer, Sudeep Sarkar, “On the Localization Performance Measure and Optimal Edge Detection,” IEEE Trans. on PAMI Vol. 16 No. 1 (106–110) January 1994.
J. Brian Burns, Allen R. Hanson, Edward M. Riseman, “Extracting Straight Lines,” Computer and Information Science Dept. Tech. Rep. 84-29, Univ. of Massachusetts, December 1984.
John F. Canny, “Finding Edges and Lines in Images,” MIT., Cambridge, Tech. Rep. 720, June 1983.
L. S. Davis, “A Survey of Edge Detection Techniques,” Comp. Graph. and Image Proc., 4 (248–270) 1975.
R. Deriche, “Using Canny's Criteria to Derive a Recursive Implemented Optimal Edge Detector,” The Int. Jour. of Comp. Vision, 1 (167–187), 1987.
Robert M. Haralick, “Digital Step Edges from Zero Crossing of Second Directional Derivatives,” IEEE Trans. on PAMI Vol. 6 No.1 (58–68) Jan.1984.
Albert Larré, Eduard Montseny, “A Step Edge Detector Algorithm Based On Symbolic Analysis,” 12th IAPR Inter. Conf. on Pattern Recognition, Vol. 1 (6–10) October 1994.
D. C. Marr, E. Hildreth, “Theory of Edge Detection,” Proc. of the Royal Society of London, Series B, Vol. 207 1980.
V. S. Nalwa, T. O. Binford, “On Detecting Edges,” IEEE Trans. on PAMI Vol. 8 No.6 (699–714) November 1986.
Azriel Rosenfeld, M. Thurston, Y. Lee, “Edge and Curve Detection: Further Experiments,” IEEE Trans. on Comp., Vol.C-21 No.7 (677–710) July 1972.
Vincent Torre, Tomaso Poggio “On edge detection,” IEEE Trans.PAMI Vol. 8 No.2 (147–163) February.1986.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1995 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Larré, A., Montseny, E. (1995). On the detection of step edges in algorithms based on gradient vector analysis. In: Braccini, C., DeFloriani, L., Vernazza, G. (eds) Image Analysis and Processing. ICIAP 1995. Lecture Notes in Computer Science, vol 974. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-60298-4_290
Download citation
DOI: https://doi.org/10.1007/3-540-60298-4_290
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-60298-9
Online ISBN: 978-3-540-44787-0
eBook Packages: Springer Book Archive
