Uniqueness of the Gaussian Kernel for Scale-Space Filtering

@article{Babaud1986UniquenessOT,
  title={Uniqueness of the Gaussian Kernel for Scale-Space Filtering},
  author={Jean Babaud and A. Witkin and M. Baudin and R. Duda},
  journal={IEEE Transactions on Pattern Analysis and Machine Intelligence},
  year={1986},
  volume={PAMI-8},
  pages={26-33}
}
  • Jean Babaud, A. Witkin, +1 author R. Duda
  • Published 1986
  • Mathematics, Computer Science, Medicine
  • IEEE Transactions on Pattern Analysis and Machine Intelligence
  • Scale-space filtering constructs hierarchic symbolic signal descriptions by transforming the signal into a continuum of versions of the original signal convolved with a kernal containing a scale or bandwidth parameter. It is shown that the Gaussian probability density function is the only kernel in a broad class for which first-order maxima and minima, respectively, increase and decrease when the bandwidth of the filter is increased. The consequences of this result are explored when the signal… CONTINUE READING
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