Color TV: Total variation methods for restoration of vector-valued images

Peter Blomgren; Tony F. Chan

doi:10.1109/83.661180

Color TV: Total variation methods for restoration of vector-valued images

Peter Blomgren^*, Tony F. Chan

^*Corresponding author for this work

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

518 Scopus citations

Abstract

We propose a new definition of the total variation norm for vector-valued functions that can be applied to restore color and other vector-valued images. The new TV norm has the desirable properties of 1) not penalizing discontinuities (edges) in the image, 2) being rotationally invariant in the image space, and 3) reducing to the usual TV norm in the scalar case. Some numerical experiments on denoising simple color images in red-green-blue (RGB) color space are presented.

Original language	English (US)
Pages (from-to)	304-309
Number of pages	6
Journal	IEEE Transactions on Image Processing
Volume	7
Issue number	3
DOIs	https://doi.org/10.1109/83.661180
State	Published - 1998
Externally published	Yes

Bibliographical note

Funding Information:
Manuscript received August 13, 1996; revised March 10, 1997. This work was supported by the ONR under Contract ONR N00017-96-1-0277, and by the NSF under Grant MS-9626755. The associate editor coordinating the review of this manuscript and approving it for publication was Dr. Guillermo Sapiro.

Keywords

Color images
Image restoration
Multispectral image
Total variation

ASJC Scopus subject areas

Software
Computer Graphics and Computer-Aided Design

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10.1109/83.661180

Cite this

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title = "Color TV: Total variation methods for restoration of vector-valued images",

abstract = "We propose a new definition of the total variation norm for vector-valued functions that can be applied to restore color and other vector-valued images. The new TV norm has the desirable properties of 1) not penalizing discontinuities (edges) in the image, 2) being rotationally invariant in the image space, and 3) reducing to the usual TV norm in the scalar case. Some numerical experiments on denoising simple color images in red-green-blue (RGB) color space are presented.",

keywords = "Color images, Image restoration, Multispectral image, Total variation",

author = "Peter Blomgren and Chan, {Tony F.}",

note = "Funding Information: Manuscript received August 13, 1996; revised March 10, 1997. This work was supported by the ONR under Contract ONR N00017-96-1-0277, and by the NSF under Grant MS-9626755. The associate editor coordinating the review of this manuscript and approving it for publication was Dr. Guillermo Sapiro.",

year = "1998",

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AU - Chan, Tony F.

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PY - 1998

Y1 - 1998

N2 - We propose a new definition of the total variation norm for vector-valued functions that can be applied to restore color and other vector-valued images. The new TV norm has the desirable properties of 1) not penalizing discontinuities (edges) in the image, 2) being rotationally invariant in the image space, and 3) reducing to the usual TV norm in the scalar case. Some numerical experiments on denoising simple color images in red-green-blue (RGB) color space are presented.

AB - We propose a new definition of the total variation norm for vector-valued functions that can be applied to restore color and other vector-valued images. The new TV norm has the desirable properties of 1) not penalizing discontinuities (edges) in the image, 2) being rotationally invariant in the image space, and 3) reducing to the usual TV norm in the scalar case. Some numerical experiments on denoising simple color images in red-green-blue (RGB) color space are presented.

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KW - Multispectral image

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ER -

Color TV: Total variation methods for restoration of vector-valued images

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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