A PDE variational approach to image denoising and restoration

Tudor Barbu; Viorel Barbu; Veronica Biga; Daniel Coca

doi:10.1016/j.nonrwa.2008.01.017

A PDE variational approach to image denoising and restoration

Tudor Barbu, Viorel Barbu^*, Veronica Biga, Daniel Coca

^*Corresponding author for this work

Division of Developmental Biology & Medicine (L5)

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

Abstract

In this paper we discuss a general variational model for image restoration based on the minimization of a convex functional of gradient under minimal growth conditions. This approach is related to minimization in bounded variation norm and has a smoothing effect on degraded image while preserving the edge features.

Original language	English
Pages (from-to)	1351-1361
Number of pages	11
Journal	Nonlinear Analysis: Real World Applications
Volume	10
Issue number	3
DOIs	https://doi.org/10.1016/j.nonrwa.2008.01.017
Publication status	Published - Jun 2009

Keywords

Convex functions
Image restoration
Nonlinear diffusion
Sobolev space

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10.1016/j.nonrwa.2008.01.017

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title = "A PDE variational approach to image denoising and restoration",

abstract = "In this paper we discuss a general variational model for image restoration based on the minimization of a convex functional of gradient under minimal growth conditions. This approach is related to minimization in bounded variation norm and has a smoothing effect on degraded image while preserving the edge features.",

keywords = "Convex functions, Image restoration, Nonlinear diffusion, Sobolev space",

author = "Tudor Barbu and Viorel Barbu and Veronica Biga and Daniel Coca",

year = "2009",

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doi = "10.1016/j.nonrwa.2008.01.017",

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AU - Barbu, Tudor

AU - Barbu, Viorel

AU - Biga, Veronica

AU - Coca, Daniel

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N2 - In this paper we discuss a general variational model for image restoration based on the minimization of a convex functional of gradient under minimal growth conditions. This approach is related to minimization in bounded variation norm and has a smoothing effect on degraded image while preserving the edge features.

AB - In this paper we discuss a general variational model for image restoration based on the minimization of a convex functional of gradient under minimal growth conditions. This approach is related to minimization in bounded variation norm and has a smoothing effect on degraded image while preserving the edge features.

KW - Convex functions

KW - Image restoration

KW - Nonlinear diffusion

KW - Sobolev space

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U2 - 10.1016/j.nonrwa.2008.01.017

DO - 10.1016/j.nonrwa.2008.01.017

M3 - Article

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SN - 1468-1218

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EP - 1361

JO - Nonlinear Analysis: Real World Applications

JF - Nonlinear Analysis: Real World Applications

IS - 3

ER -

A PDE variational approach to image denoising and restoration

Abstract

Keywords

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