Anisotropic Diffusion in ITK

Jean-Marie Mirebeau (1) , Jérôme Fehrenbach (2) , Laurent Risser (2) , Shaza Tobji (2)

1 CEREMADE - CEntre de REcherches en MAthématiques de la DEcision
2 IMT - Institut de Mathématiques de Toulouse UMR5219

Anisotropic Non-Linear Diffusion is a powerful image processing technique, which allows to simultaneously remove the noise and enhance sharp features in two or three dimensional images. Anisotropic Diffusion is understood here in the sense of Weickert, meaning that diffusion tensors are anisotropic and reflect the local orientation of image features. This is in contrast with the non-linear diffusion filter of Perona and Malik, which only involves scalar diffusion coefficients, in other words isotropic diffusion tensors. In this paper, we present an anisotropic non-linear diffusion technique we implemented in ITK. This technique is based on a recent adaptive scheme making the diffusion stable and requiring limited numerical resources. (See supplementary data.)

Mots clés: Insight Segmentation and Registration Toolkit (ITK); Anisotropic diffusion; Monotone scheme

Domaines: Equations aux dérivées partielles [math.AP]; Traitement du signal et de l'image [eess.SP]

Jean-Marie Mirebeau, Jérôme Fehrenbach, Laurent Risser, Shaza Tobji. Anisotropic Diffusion in ITK. 2015. ⟨hal-01121511⟩