NDLI: Optimal Inversion of the Generalized Anscombe Transformation for Poisson-Gaussian Noise

Content Provider	IEEE Xplore Digital Library
Author	Makitalo, M. Foi, A.
Copyright Year	1992
Abstract	Many digital imaging devices operate by successive photon-to-electron, electron-to-voltage, and voltage-to-digit conversions. These processes are subject to various signal-dependent errors, which are typically modeled as Poisson-Gaussian noise. The removal of such noise can be effected indirectly by applying a variance-stabilizing transformation (VST) to the noisy data, denoising the stabilized data with a Gaussian denoising algorithm, and finally applying an inverse VST to the denoised data. The generalized Anscombe transformation (GAT) is often used for variance stabilization, but its unbiased inverse transformation has not been rigorously studied in the past. We introduce the exact unbiased inverse of the GAT and show that it plays an integral part in ensuring accurate denoising results. We demonstrate that this exact inverse leads to state-of-the-art results without any notable increase in the computational complexity compared to the other inverses. We also show that this inverse is optimal in the sense that it can be interpreted as a maximum likelihood inverse. Moreover, we thoroughly analyze the behavior of the proposed inverse, which also enables us to derive a closed-form approximation for it. This paper generalizes our work on the exact unbiased inverse of the Anscombe transformation, which we have presented earlier for the removal of pure Poisson noise.
Sponsorship	IEEE Signal Processing Society
Page Count	13
File Size	1348307
Starting Page	91
Ending Page	103
File Format	PDF
ISSN	10577149
Volume Number	22
Issue Number	1
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2013-01-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Noise reduction Approximation methods Gaussian noise Standards Accuracy Photonics variance stabilization Denoising photon-limited imaging Poisson-Gaussian noise
Content Type	Text
Resource Type	Article
Subject	Computer Graphics and Computer-Aided Design Software

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Poisson-gaussian denoising using the exact unbiased inverse of the generalized anscombe transformation

A Closed-Form Approximation of the Exact Unbiased Inverse of the Anscombe Variance-Stabilizing Transformation

Optimal Inversion of the Anscombe Transformation in Low-Count Poisson Image Denoising

Poisson-gaussian denoising using the exact unbiased inverse of the generalized anscombe transformation.

Noise Parameter Mismatch in Variance Stabilization, With an Application to Poisson–Gaussian Noise Estimation

Optimal inversion of the Anscombe transformation in low-count Poisson image denoising

Noise Parameter Estimation for Poisson Corrupted Images Using Variance Stabilization Transforms

Sparsity-Based Poisson Denoising With Dictionary Learning

Ieee transactions on image processing 1 optimal inversion of the generalized anscombe transformation for poisson-gaussian.

Optimal Inversion of the Generalized Anscombe Transformation for Poisson-Gaussian Noise

Similar Documents

Poisson-gaussian denoising using the exact unbiased inverse of the generalized anscombe transformation

A Closed-Form Approximation of the Exact Unbiased Inverse of the Anscombe Variance-Stabilizing Transformation

Optimal Inversion of the Anscombe Transformation in Low-Count Poisson Image Denoising

Poisson-gaussian denoising using the exact unbiased inverse of the generalized anscombe transformation.

Noise Parameter Mismatch in Variance Stabilization, With an Application to Poisson–Gaussian Noise Estimation

Optimal inversion of the Anscombe transformation in low-count Poisson image denoising

Noise Parameter Estimation for Poisson Corrupted Images Using Variance Stabilization Transforms

Sparsity-Based Poisson Denoising With Dictionary Learning

Ieee transactions on image processing 1 optimal inversion of the generalized anscombe transformation for poisson-gaussian.

Optimal Inversion of the Generalized Anscombe Transformation for Poisson-Gaussian Noise