# Weighted Nonlocal Total Variation in Image Processing

arXiv: https://arxiv.org/abs/1801.10441 · HTML: https://mlsanity.com/paper/1801.10441/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 31 Jan 2018.

## Built on by (most cited first, 1 of 1)

- [Color image restoration based on nonlocal saturation-value similarity](https://mlsanity.com/paper/2603.18586/) (2026)

## Abstract (arXiv)

In this paper, a novel weighted nonlocal total variation (WNTV) method is proposed. Compared to the classical nonlocal total variation methods, our method modifies the energy functional to introduce a weight to balance between the labeled sets and unlabeled sets. With extensive numerical examples in semi-supervised clustering, image inpainting and image colorization, we demonstrate that WNTV provides an effective and efficient method in many image processing and machine learning problems.