Title | ||
---|---|---|
Three kinds of color total-variation semi-norms and its application to color-image denoising |
Abstract | ||
---|---|---|
This paper extends the total-variation (TV) semi-norm of a scalar-valued image to a new color TV semi-norm of a color image, in the definition of which interdependence among the three primary color channels is taken into account. This paper defines a 12-D color-gradient operator that treats primary color signals and color-difference signals collectively; and then with the color-gradient operator this paper defines three kinds of color-TV semi-norms: isotropic, semi-isotropic, and anisotropic color TV semi-norms. By introducing dual definitions of the color-TV semi-norms, this paper reformulates color-TV variational denoising problems, and solves their dual problems with the projected gradient solver. Experimental simulations of color-image denoising demonstrate that the color TV semi-norms achieve selective noise-removal much more efficiently than the classic TV semi-norm, and show the merits and demerits among the three color TV semi-norms. |
Year | DOI | Venue |
---|---|---|
2011 | 10.1109/ICIP.2011.6115716 | Image Processing |
Keywords | Field | DocType |
image colour analysis,image denoising,12D color-gradient operator,anisotropic color TV semi-norms,color total-variation semi-norms,color-TV variational denoising problem,color-difference signals,color-image denoising,isotropic color TV semi-norms,primary color signals,projected gradient solver,scalar-valued image,selective noise-removal,semiisotropic TV semi-norms,Color-image processing,denoising,projected gradient solver,total-variation semi-norm,variational problem | Noise reduction,Computer vision,Colors of noise,Pattern recognition,Computer science,Communication channel,Image denoising,Operator (computer programming),Artificial intelligence,Solver,Primary color,Color image | Conference |
ISSN | ISBN | Citations |
1522-4880 E-ISBN : 978-1-4577-1302-6 | 978-1-4577-1302-6 | 3 |
PageRank | References | Authors |
0.43 | 4 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Takahiro Saito | 1 | 100 | 30.46 |
Yousuke Takagaki | 2 | 3 | 0.43 |
Takashi Komatsu | 3 | 113 | 33.96 |