An Existence Result for a Discretized Constrained Gradient System of Total Variation Flow in Color Image Processing

Yoshikazu GIGA; Hirotoshi KURODA; Noriaki YAMAZAKI

doi:10.4036/iis.2005.199

Interdisciplinary Information Sciences

Online ISSN : 1347-6157
Print ISSN : 1340-9050
ISSN-L : 1340-9050

Special Issue on Mathematical Aspects of Image Processing and Computer Vision

An Existence Result for a Discretized Constrained Gradient System of Total Variation Flow in Color Image Processing

Yoshikazu GIGA, Hirotoshi KURODA, Noriaki YAMAZAKI

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Keywords: total variation, 1-harmonic map flow, subdifferential

JOURNAL FREE ACCESS

2005 Volume 11 Issue 2 Pages 199-204

DOI https://doi.org/10.4036/iis.2005.199

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Abstract

We consider a constrained gradient system of total variation flow. Our system is often used in color image processing to remove a noise from picture. In this paper, using abstract convergence theory of convex functions, we show the global existence of solutions to our problem with piecewise constant initial data.

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https://creativecommons.org/licenses/by/4.0/

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