ACTA MATHEMATICA UNIVERSITATIS COMENIANAE
Vol. LXXVI, 1 (2007)
p. 15 - 38
Time-delayed Perona-Malik type problems
H. Amann
Abstract.
We propose time regularizations for ill posed evolution equations of the type
of the Perona-Malik equation of image processing, prove that they are well
posed, and give numerical evidence for their superiority to the widely used
space regularizations.
Keywords:
Image processing, regularization of backward parabolic problems.
AMS Subject classification: Primary: 68U10;
Secondary: 35K55, 35K90.
Download:
Adobe PDF 
Compressed Postscript 
Version to read:
Adobe PDF
Acta Mathematica Universitatis Comenianae
Faculty of Mathematics, Physics and Informatics
Comenius University
842 48 Bratislava, Slovak Republic
Telephone: + 421-2-60295755 Fax: + 421-2-65425882
e-Mail: amuc@fmph.uniba.sk
Internet: www.iam.fmph.uniba.sk/amuc
©
Copyright 2007, ACTA MATHEMATICA UNIVERSITATIS COMENIANAE