Perceiving Systems, Computer Vision

Robust anisotropic diffusion and sharpening of scalar and vector images

1997

Conference Paper

ps


Relations between anisotropic diffusion and robust statistics are described. We show that anisotropic diffusion can be seen as a robust estimation procedure that estimates a piecewise smooth image from a noisy input image. The "edge-stopping" function in the anisotropic diffusion equation is closely related to the error norm and influence function in the robust estimation framework. This connection leads to a new "edge-stopping" function based on Tukey's biweight robust estimator, that preserves sharper boundaries than previous formulations and improves the automatic stopping of the diffusion. The robust statistical interpretation also provides a means for detecting the boundaries (edges) between the piecewise smooth regions in the image. We extend the framework to vector-valued images and show applications to robust image sharpening.

Author(s): Black, M. J. and Sapiro, G. and Marimont, D. and Heeger, D.
Book Title: Int. Conf. on Image Processing, ICIP
Volume: 1
Pages: 263-266
Year: 1997
Month: October
Series: Vol. 1

Department(s): Perceiving Systems
Bibtex Type: Conference Paper (inproceedings)
Paper Type: Conference

Address: Santa Barbara, CA

Links: pdf
publisher site

BibTex

@inproceedings{Black:ICIP:1997,
  title = {Robust anisotropic diffusion and sharpening of scalar and vector images},
  author = {Black, M. J. and Sapiro, G. and Marimont, D. and Heeger, D.},
  booktitle = {Int. Conf. on Image Processing, ICIP},
  volume = {1},
  pages = {263-266},
  series = {Vol. 1},
  address = {Santa Barbara, CA},
  month = oct,
  year = {1997},
  doi = {},
  month_numeric = {10}
}