Abstract
In this paper, we give a new demonstration in which it is proved that the symmetric exponential filter is the optimal edge detection filter in the criteria of the signal to noise ratio, localization precision and unique maximum. Then we deduce the first and the second directional derivative operators for symmetric Exponential Filter and realize them by first order recursive algorithm, and propose to detect the edges by maxima of Gradient (GEF), or by the zeros crossing of Second directional Derivative along the gradient direction (SDEF).
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© 1990 Springer-Verlag Berlin Heidelberg
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Castan, S., Zhao, J., Shen, J. (1990). Optimal filter for edge detection methods and results. In: Faugeras, O. (eds) Computer Vision — ECCV 90. ECCV 1990. Lecture Notes in Computer Science, vol 427. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0014845
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DOI: https://doi.org/10.1007/BFb0014845
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Print ISBN: 978-3-540-52522-6
Online ISBN: 978-3-540-47011-3
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