This study focuses on the image denoising and deconvolution problem in case of mixed Gaussian–Poisson noise. By using a maximum a posteriori estimator, we derive a new variational formulation whose minimisation provides the desired restored image. The new functional is composed of the total variation (TV) regularisation term, the Kullback–Leibler divergence term for Poisson noise and the L2 norm fidelity term for Gaussian noise. We consider a dual formulation for the TV term, thus changing the minimisation into a minimax problem. A fast iterative algorithm is derived by using the proximal point method to compute the saddle point of the minimax problem. We show the capability of our model both on synthetic examples and on real images of low-count fluorescence microscopy.

Alessandro Lanza, Serena Morigi, Fiorella Sgallari, You-Wei Wen (2014). Image restoration with Poisson–Gaussian mixed noise. COMPUTER METHODS IN BIOMECHANICS AND BIOMEDICAL ENGINEERING: IMAGING & VISUALIZATION, 2(1), 12-24 [10.1080/21681163.2013.811039].

Image restoration with Poisson–Gaussian mixed noise

LANZA, ALESSANDRO;MORIGI, SERENA;SGALLARI, FIORELLA;
2014

Abstract

This study focuses on the image denoising and deconvolution problem in case of mixed Gaussian–Poisson noise. By using a maximum a posteriori estimator, we derive a new variational formulation whose minimisation provides the desired restored image. The new functional is composed of the total variation (TV) regularisation term, the Kullback–Leibler divergence term for Poisson noise and the L2 norm fidelity term for Gaussian noise. We consider a dual formulation for the TV term, thus changing the minimisation into a minimax problem. A fast iterative algorithm is derived by using the proximal point method to compute the saddle point of the minimax problem. We show the capability of our model both on synthetic examples and on real images of low-count fluorescence microscopy.
2014
Alessandro Lanza, Serena Morigi, Fiorella Sgallari, You-Wei Wen (2014). Image restoration with Poisson–Gaussian mixed noise. COMPUTER METHODS IN BIOMECHANICS AND BIOMEDICAL ENGINEERING: IMAGING & VISUALIZATION, 2(1), 12-24 [10.1080/21681163.2013.811039].
Alessandro Lanza; Serena Morigi; Fiorella Sgallari; You-Wei Wen
File in questo prodotto:
Eventuali allegati, non sono esposti

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/280116
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 24
  • ???jsp.display-item.citation.isi??? 33
social impact