Image denoising using mean curvature of image surface

Wei Zhu; Tony Chan

doi:10.1137/110822268

Image denoising using mean curvature of image surface

Wei Zhu^*, Tony Chan

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

145 Scopus citations

Abstract

We propose a new variational model for image denoising, which employs the L¹norm of the mean curvature of the image surface (x, f(x)) of a given image f : Ω → ℝ. Besides eliminating noise and preserving edges of objects efficiently, our model can keep corners of objects and greyscale intensity contrasts of images and also remove the staircase effect. In this paper, we analytically study the proposed model and justify why our model can preserve object corners and image contrasts. We apply the proposed model to the denoising of curves and plane images, and also compare the results with those obtained by using the classical Rudin-Osher-Fatemi model [Phys. D, 60 (1992), pp. 259- 268].

Original language	English (US)
Pages (from-to)	1-32
Number of pages	32
Journal	SIAM Journal on Imaging Sciences
Volume	5
Issue number	1
DOIs	https://doi.org/10.1137/110822268
State	Published - 2012
Externally published	Yes

Keywords

Image denoising
Mean curvature
Variational model

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1137/110822268

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AB - We propose a new variational model for image denoising, which employs the L1norm of the mean curvature of the image surface (x, f(x)) of a given image f : Ω → ℝ. Besides eliminating noise and preserving edges of objects efficiently, our model can keep corners of objects and greyscale intensity contrasts of images and also remove the staircase effect. In this paper, we analytically study the proposed model and justify why our model can preserve object corners and image contrasts. We apply the proposed model to the denoising of curves and plane images, and also compare the results with those obtained by using the classical Rudin-Osher-Fatemi model [Phys. D, 60 (1992), pp. 259- 268].

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KW - Mean curvature

KW - Variational model

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Image denoising using mean curvature of image surface

Abstract

Keywords

ASJC Scopus subject areas

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