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Color TV: Total Variation Methods for Restoration of Vector Valued Images (1996)
| Venue: | IEEE Trans. Image Processing |
| Citations: | 158 - 13 self |
BibTeX
@ARTICLE{Blomgren96colortv:,
author = {Peter Blomgren and Tony F. Chan},
title = {Color TV: Total Variation Methods for Restoration of Vector Valued Images},
journal = {IEEE Trans. Image Processing},
year = {1996},
volume = {7},
pages = {304--309}
}
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Abstract
We propose a new definition of the total variation norm for vector valued functions which can be applied to restore color and other vector valued images. The new TV norm has the desirable properties of (i) not penalizing discontinuities (edges) in the image, (ii) rotationally invariant in the image space, and (iii) reduces to the usual TV norm in the scalar case. Some numerical experiments on denoising simple color images in RGB color space are presented. 1 Introduction During gathering and transfer of image data some noise and blur is usually introduced into the image. Several reconstruction methods based on the total variation (TV) norm have been proposed and studied for intensity (gray scale) images, see [9, 14, 21, 26, 29]. Since these methods have been successful in reducing noise and blur without smearing sharp edges for intensity images, it is natural to extend the TV norm to handle color and other vector valued images. Why do we need color restoration? It can be argued that si...
Keyphrases
total variation method vector valued image color tv total variation norm total variation numerical experiment color restoration new definition new tv norm tv norm image data rgb color space desirable property scalar case usual tv norm intensity image sharp edge gray scale several reconstruction method image space simple color image
