ACTA MATHEMATICA UNIVERSITATIS COMENIANAE
Vol. LXXIV, 1 (2005)
p. 79 - 94
Error estimates for finite volume scheme for Perona-Malik equation
A. Handlovicova and Z. Kriva
Abstract.
We present Perona-Malik nonlinear image selective smoothing equation
(modified in the sense of Catt\'e, Lions, Morel and Coll)
which is investigated esspecially from numerical point of wiev.
Error estimates in $L_{2}$ norms for fully discrete numerical finite volume
scheme are derived and proved. Some numerical examples are presented.
Keywords:
Perona Malik equation, image processing,
finite volume method, error estimates.
AMS Subject classification: 35K55, 65M12.
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