Non-Local Image Smoothing by Applying Anisotropic Diffusion PDE's in the Space of Patches

David Tschumperlé (1) , Luc Brun (1)

1 Equipe Image - Laboratoire GREYC - UMR6072

We design a family of non-local image smoothing algorithms which approximate the application of diffusion PDE's on a specific Euclidean space of image patches. We first map a noisy image onto this high-dimensional space and estimate its geometric structure thanks to a straightforward extension of the structure tensor field. The tensors spectral elements allows us to design an oriented highdimensional smoothing process by the means of anisotropic regularization PDE's which have both local and non-local properties and whose solutions are estimated by locally oriented high-dimensional convolutions. We show that the Bilateral Filtering and Non-Local Means methods are the isotropic cases of our denoising framework.

Mots clés: Edge-preserving denoising; non-local smoothing; anisotropic diffusion; regularization PDE's

Domaines: Traitement des images [eess.IV]

David Tschumperlé, Luc Brun. Non-Local Image Smoothing by Applying Anisotropic Diffusion PDE's in the Space of Patches. Proceedings of IEEE International Conference on Image Processing (ICIP'09), Nov 2009, Cairo, Egypt. pp.2957 - 2960, ⟨10.1109/ICIP.2009.5413453⟩. ⟨hal-00814019⟩