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

TL;DR

This paper introduces a rapid and efficient algorithm for Poisson denoising using a total variation model, ensuring positivity and demonstrating superior performance through experiments.

Contribution

It proposes a novel semi-implicit scheme for Poisson denoising that guarantees positivity and improves computational speed.

Findings

The method is faster than existing approaches.

It effectively preserves image quality.

The scheme guarantees positivity of the restored image.

Abstract

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.