Image Denoising Using the Geodesics' Gramian of the Manifold Underlying Patch-Space

TL;DR

This paper introduces a novel image denoising technique that operates on the manifold of image patches using the Geodesics' Gramian, improving accuracy and efficiency in noise removal.

Contribution

The paper presents a new denoising method based on the manifold of patch-space, leveraging the Geodesics' Gramian for better feature preservation and computational efficiency.

Findings

Outperforms benchmark denoising methods in accuracy

Preserves image features more effectively

Operates efficiently on patch-based manifold representation

Abstract

With the proliferation of sophisticated cameras in modern society, the demand for accurate and visually pleasing images is increasing. However, the quality of an image captured by a camera may be degraded by noise. Thus, some processing of images is required to filter out the noise without losing vital image features. Even though the current literature offers a variety of denoising methods, the fidelity and efficacy of their denoising are sometimes uncertain. Thus, here we propose a novel and computationally efficient image denoising method that is capable of producing accurate images. To preserve image smoothness, this method inputs patches partitioned from the image rather than pixels. Then, it performs denoising on the manifold underlying the patch-space rather than that in the image domain to better preserve the features across the whole image. We validate the performance of this method against benchmark image processing methods.