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 journalArticlepeer-review

505 Scopus citations


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 languageEnglish (US)
Pages (from-to)304-309
Number of pages6
JournalIEEE Transactions on Image Processing
Issue number3
StatePublished - 1998
Externally publishedYes

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.


  • Color images
  • Image restoration
  • Multispectral image
  • Total variation

ASJC Scopus subject areas

  • Software
  • Computer Graphics and Computer-Aided Design


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