Scale-Space and Edge Detection Using Anisotropic Diffusion

Abstract

Abstracf-The scale-space technique introduced by Witkin involves generating coarser resolution images by convolving the original image with a Gaussian kernel. This approach has a major drawback: it is difficult to obtain accurately the locations of the " semantically meaningful " edges at coarse scales. In this paper we suggest a new definition of scale-space, and introduce a class of algorithms that realize it using a diffusion process. The diffusion coefficient is chosen to vary spatially in such a way as to encourage intraregion smoothing in preference to interregion smoothing. It is shown that the " no new maxima should be generated at coarse scales " property of conventional scale space is preserved. As the region boundaries in our approach remain sharp, we obtain a high quality edge detector which successfully exploits global information. Experimental results are shown on a number of images. The algorithm involves elementary, local operations replicated over the image making parallel hardware implementations feasible.

DOI: 10.1109/34.56205

Extracted Key Phrases

Showing 1-10 of 18 references

His research interests are in computational and biological vision

  • 1990

Scale space and edge detection using anisotropic diffusion

  • P Perona, J Malik
  • 1987

Optimal approximation of piecewise smooth functions and associated variational problems

  • Massachusetts Lab, D Inst, J Mumford, Shah
  • 1985
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