Poisson NL means: Unsupervised non local means for Poisson noise

Charles-Alban Deledalle (1) , Florence Tupin (1, 2) , Loïc Denis (3)

1 LTCI - Laboratoire Traitement et Communication de l'Information
2 Télécom ParisTech
3 LHC - Laboratoire Hubert Curien

An extension of the non local (NL) means is proposed for images damaged by Poisson noise. The proposed method is guided by the noisy image and a pre-filtered image and is adapted to the statistics of Poisson noise. The influence of both images can be tuned using two filtering parameters. We propose an automatic setting to select these parameters based on the minimization of the estimated risk (mean square error). This selection uses an estimator of the MSE for NL means with Poisson noise and Newton's method to find the optimal parameters in few iterations.

Mots clés: Newton's method; Non local means; PURE; Poisson noise; SURE; mean square error

Domaines: Traitement des images [eess.IV]

Charles-Alban Deledalle, Florence Tupin, Loïc Denis. Poisson NL means: Unsupervised non local means for Poisson noise. IEEE International Conference on image processing, Sep 2010, Hong-Kong, Hong Kong SAR China. pp.801 - 804, ⟨10.1109/ICIP.2010.5653394⟩. ⟨hal-00957982⟩