English

On Nearest Neighbors in Non Local Means Denoising

Computer Vision and Pattern Recognition 2017-11-22 v1

Abstract

To denoise a reference patch, the Non-Local-Means denoising filter processes a set of neighbor patches. Few Nearest Neighbors (NN) are used to limit the computational burden of the algorithm. Here here we show analytically that the NN approach introduces a bias in the denoised patch, and we propose a different neighbors' collection criterion, named Statistical NN (SNN), to alleviate this issue. Our approach outperforms the traditional one in case of both white and colored noise: fewer SNNs generate images of higher quality, at a lower computational cost.

Keywords

Cite

@article{arxiv.1711.07568,
  title  = {On Nearest Neighbors in Non Local Means Denoising},
  author = {Iuri Frosio and Jan Kautz},
  journal= {arXiv preprint arXiv:1711.07568},
  year   = {2017}
}

Comments

This paper is accepted at the 2017 NIPS workshop "Nearest Neighbors for Modern Applications with Massive Data"