• DocumentCode
    1340919
  • Title

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

  • Author

    Blomgren, Peter ; Chan, Tony F.

  • Author_Institution
    Dept. of Math., California Univ., Los Angeles, CA, USA
  • Volume
    7
  • Issue
    3
  • fYear
    1998
  • fDate
    3/1/1998 12:00:00 AM
  • Firstpage
    304
  • Lastpage
    309
  • Abstract
    We propose a new definition of the total variation (TV) 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
    image colour analysis; image restoration; noise; telecommunication channels; RGB color space; color TV; color image denoising; color restoration; image discontinuities; image edges; image space; numerical experiments; rotationally invariant method; total variation methods; total variation norm; vector-valued functions; vector-valued image restoration; Color; Colored noise; Humans; Image edge detection; Image restoration; Multidimensional systems; Multispectral imaging; Noise level; Noise reduction; TV;
  • fLanguage
    English
  • Journal_Title
    Image Processing, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1057-7149
  • Type

    jour

  • DOI
    10.1109/83.661180
  • Filename
    661180