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

1998/01/01 by Peter Blomgren, Tony F. Chan, 三嶋 博之 +1 · 4 citations
Computer Science · Engineering · Mathematics · Social Sciences · #Advanced Image Processing Techniques #Artificial intelligence #Color image #Color space #Computer science #Computer vision #Image (mathematics) #Image and Signal Denoising Methods #Image processing #Image restoration #Legal and Regulatory Analysis #Linguistic, Cultural, and Literary Studies #Mathematics #Medical Image Segmentation Techniques #Military Technology and Strategies #Noise reduction #Norm (philosophy) #RGB color model #RGB color space #Total variation denoising

paper · doi:10.1109/83.661180

openalex publication_date 1998/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/06/19

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.

Citations

• Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
• Nonlinear total variation based noise removal algorithms
• Scale-space and edge detection using anisotropic diffusion

Cited by

• Objective-oriented Persistent Homology
• A Clearer Picture of Blind Deconvolution
• Groupwise Multimodal Image Registration Using Joint Total Variation
• Total variation [wikipedia]