@inproceedings{185443eec9d6401891356579243f97ab,
title = "Regularized shock filters and complex diffusion",
abstract = "We address the issue of regularizing Osher and Rudin{\textquoteright}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.",
keywords = "Complex diffusion, Deblurring, Denoising, Image enhancement, Image features, Shock filters",
author = "Guy Gilboa and Sochen, {Nir A.} and Zeevi, {Yehoshua Y.}",
note = "Publisher Copyright: {\textcopyright} Springer-Verlag Berlin Heidelberg 2002.; 7th European Conference on Computer Vision, ECCV 2002 ; Conference date: 28-05-2002 Through 31-05-2002",
year = "2002",
doi = "10.1007/3-540-47969-4_27",
language = "אנגלית",
isbn = "3540437452",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
publisher = "Springer Verlag",
pages = "399--413",
editor = "Anders Heyden and Gunnar Sparr and Mads Nielsen and Peter Johansen",
booktitle = "Computer Vision - ECCV 2002 - 7th European Conference on Computer Vision, Proceedings",
}