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

497 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


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

ASJC Scopus subject areas

  • Software
  • Computer Graphics and Computer-Aided Design


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