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
fDate :
3/1/1998 12:00:00 AM
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;
Journal_Title :
Image Processing, IEEE Transactions on
