Imaging Noise Suppression: Fourth-Order Partial Differential Equations and Travelling Wave Solutions

Sameerah Jamal
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Sameerah Jamal: School of Mathematics, University of the Witwatersrand, Johannesburg 2001, South Africa

Mathematics, 2020, vol. 8, issue 11, 1-10

Abstract: In this paper, we discuss travelling wave solutions for image smoothing based on a fourth-order partial differential equation. One of the recurring issues of digital imaging is the amount of noise. One solution to this is to minimise the total variation norm of the image, thus giving rise to non-linear equations. We investigate the variational properties of the Lagrange functionals associated with these minimisation problems.

Keywords: similarity solutions; variational norms; noise-suppressing algorithms; imaging (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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