Regularized shock filters and complex diffusion

Guy Gilboa, Nir A. Sochen, Yehoshua Y. Zeevi

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review


We address the issue of regularizing Osher and Rudin’s shock filter, used for image deblurring, in order to allow processes that are more robust against noise. Previous solutions to the problem suggested adding some sort of diffusion term to the shock equation. We analyze and prove some properties of coupled shock and diffusion processes. Finally we propose an original solution of adding a complex diffusion term to the shock equation. This new term is used to smooth out noise and indicate inflection points simultaneously. The imaginary value, which is an approximated smoothed second derivative scaled by time, is used to control the process. This results in a robust deblurring process that performs well also on noisy signals.

Original languageEnglish
Title of host publicationComputer Vision - ECCV 2002 - 7th European Conference on Computer Vision, Proceedings
EditorsAnders Heyden, Gunnar Sparr, Mads Nielsen, Peter Johansen
PublisherSpringer Verlag
Number of pages15
ISBN (Print)3540437452
StatePublished - 2002
Event7th European Conference on Computer Vision, ECCV 2002 - Copenhagen, Denmark
Duration: 28 May 200231 May 2002

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349


Conference7th European Conference on Computer Vision, ECCV 2002


  • Complex diffusion
  • Deblurring
  • Denoising
  • Image enhancement
  • Image features
  • Shock filters


Dive into the research topics of 'Regularized shock filters and complex diffusion'. Together they form a unique fingerprint.

Cite this