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Inverse Imaging with Poisson Data

From cells to galaxies
Mario Bertero, Dr Patrizia Boccacci, Dr Valeria Ruggiero


Inverse Imaging with Poisson Data is an invaluable resource for graduate students, postdocs and researchers interested in the application of inverse problems to the domains of applied sciences, such as microscopy, medical imaging and astronomy. The purpose of the book is to provide a comprehensive account of the theoretical results, methods and algorithms related to the problem of image reconstruction from Poisson data within the framework of the maximum likelihood approach introduced by Shepp and Vardi.

About Editors

Mario Bertero received an advanced degree in physics from the University of Genova in Italy in 1960, and he obtained the libera docenza in theoretical physics in 1968. He has professorships in mathematics and computer science and was the editor of Inverse Problems from 1990–1994. He has retired from teaching but not from research.

Patrizia Boccacci received her advanced degree in physics from the University of Genova in Italy in 1980. She is currently an associate professor in the Department of Informatics, Bioengineering, Robotics and System Engineering at the University of Genova.

Valeria Ruggiero received her advanced degree in mathematics from the University of Ferrara in Italy in 1978. She is a professor in numerical analysis at the University of Ferrara and is the director of the National Group for Scientific Computation of the Istituto Nazionale di Alta Matematica (INdAM).

Table of Contents

1 Introduction

2 Examples of applications

3 Mathematical modeling

4 Statistical approaches in a discrete setting

5 Simple reconstruction methods

6 Optimization methods

7 Numerics

8 Specific topics in image deblurring

9 Towards a regularization theory

A Appendix


Hardback ISBN: 9780750314381

Ebook ISBN: 9780750314374

DOI: 10.1088/2053-2563/aae109

Publisher: Institute of Physics Publishing


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