Image restoration using geometrically stabilized reverse heat equation

Vinay P. Namboodiri, Subhasis Chaudhuri

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

Blind restoration of blurred images is a classical ill-posed problem. There has been considerable interest in the use of partial differential equations to solve this problem. The blurring of an image has traditionally been modeled by Witkin [10] and Koenderink [4] by the heat equation. This has been the basis of the Gaussian scale space. However, a similar theoretical formulation has not been possible for deblurring of images due to the ill-posed nature of the reverse heat equation. Here we consider the stabilization of the reverse heat equation. We do this by damping the distortion along the edges by adding a normal component of the heat equation in the forward direction. We use a stopping criterion based on the divergence of the curvature in the resulting reverse heat flow. The resulting stabilized reverse heat flow makes it possible to solve the challenging problem of blind space varying deconvolution. The method is justified by a varied set of experimental results.

Original languageEnglish
Title of host publication2007 IEEE International Conference on Image Processing, ICIP 2007 Proceedings
PublisherIEEE
PagesIV413-IV416
ISBN (Print)1424414377, 9781424414376
DOIs
Publication statusPublished - 1 Jan 2007
Event14th IEEE International Conference on Image Processing, ICIP 2007 - San Antonio, TX, USA United States
Duration: 16 Sep 200719 Sep 2007

Publication series

NameProceedings - International Conference on Image Processing, ICIP
Volume4
ISSN (Print)1522-4880

Conference

Conference14th IEEE International Conference on Image Processing, ICIP 2007
CountryUSA United States
CitySan Antonio, TX
Period16/09/0719/09/07

Keywords

  • Diffusion equations
  • Image analysis
  • Image restoration
  • Partial differential equations

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Namboodiri, V. P., & Chaudhuri, S. (2007). Image restoration using geometrically stabilized reverse heat equation. In 2007 IEEE International Conference on Image Processing, ICIP 2007 Proceedings (pp. IV413-IV416). [4380042] (Proceedings - International Conference on Image Processing, ICIP; Vol. 4). IEEE. https://doi.org/10.1109/ICIP.2007.4380042