Denoising an image by denoising its curvature image

DOI

10.1137/120901246

Document Type

Journal Article

Publication Date

1-28-2014

Publication Title

SIAM Journal on Imaging Sciences

Volume

7

Issue

1

First Page

187

Last Page

211

Keywords

Curvature, Image denoising, Image reconstruction

Abstract

In this article we argue that when an image is corrupted by additive noise, its curvature image is less affected by it; i.e., the peak signal-to-noise ratio of the curvature image is larger. We speculate that, given a denoising method, we may obtain better results by applying it to the curvature image and then reconstructing from it a clean image, rather than denoising the original image directly. Numerical experiments confirm this for several PDE-based and patch-based denoising algorithms. © 2014 Society for Industrial and Applied Mathematics.

Open Access

Green Accepted

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