# A fast and effective method for a Poisson denoising model with total variation

arXiv: https://arxiv.org/abs/1609.05035 · HTML: https://mlsanity.com/paper/1609.05035/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 16 Sep 2016.

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

- [Poisson Informed Retinex Network for Extreme Low-Light Image Enhancement](https://mlsanity.com/paper/2506.04470/) (2025)

## Abstract (arXiv)

In this paper, we present a fast and effective method for solving the Poisson-modified total variation model proposed in [9]. The existence and uniqueness of the model are again proved using different method. A semi-implicit difference scheme is designed to discretize the derived gradient descent flow with a large time step and can guarantee the restored image to be strictly positive in the image domain. Experimental results show the efficiency and effectiveness of our method.