Poisson NL means: Unsupervised non local means for Poisson noise

Author

Deledalle, Charles-Alban ; Tupin, Florence ; Denis, Loïc

Author_Institution

Inst. Telecom, Telecom ParisTech, Paris, France

fYear

2010

fDate

26-29 Sept. 2010

Firstpage

801

Lastpage

804

Abstract

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.

Keywords

Newton method; Poisson distribution; filtering theory; image denoising; mean square error methods; statistical analysis; MSE; Newton method; Poisson NL means; Poisson noise; filtering parameter; mean square error; statistics; unsupervised nonlocal means; Gaussian noise; Noise measurement; Noise reduction; Optimized production technology; Pixel; Probabilistic logic; Newton´s method; Non local means; PURE; Poisson noise; SURE; mean square error;

fLanguage

English

Publisher

ieee

Conference_Titel

Image Processing (ICIP), 2010 17th IEEE International Conference on

Conference_Location

Hong Kong

ISSN

1522-4880

Print_ISBN

978-1-4244-7992-4

Electronic_ISBN

1522-4880

Type

conf

DOI

10.1109/ICIP.2010.5653394

Filename

5653394