ML Anthology

Optimal Filter for Edge Detection Methods and Results

Serge Castan, Jian Zhao, Jun Shen
ECCV 1990 pp. 13-17
doi:10.1007/BFB0014845 /eccv/1990/castan1990eccv-optimal/

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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Cite

Text

Castan et al. "Optimal Filter for Edge Detection Methods and Results." European Conference on Computer Vision, 1990. doi:10.1007/BFB0014845

Markdown

[Castan et al. "Optimal Filter for Edge Detection Methods and Results." European Conference on Computer Vision, 1990.](https://mlanthology.org/eccv/1990/castan1990eccv-optimal/) doi:10.1007/BFB0014845

BibTeX

@inproceedings{castan1990eccv-optimal,
  title     = {{Optimal Filter for Edge Detection Methods and Results}},
  author    = {Castan, Serge and Zhao, Jian and Shen, Jun},
  booktitle = {European Conference on Computer Vision},
  year      = {1990},
  pages     = {13-17},
  doi       = {10.1007/BFB0014845},
  url       = {https://mlanthology.org/eccv/1990/castan1990eccv-optimal/}
}