Poisson Point Processes: Imaging, Tracking, and Sensing

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"Poisson Point Processes provides an overview of non-homogeneous and multidimensional Poisson point processes and their numerous applications. Readers will find constructive mathematical tools and applications ranging from emission and transmission computed tomography to multiple target tracking and distributed sensor detection, written from an engineering perspective. A valuable discussion of the basic properties of finite random sets is included. Maximum likelihood estimation techniques are discussed for several parametric forms of the intensity function, including Gaussian sums, together with their Cramer-Rao bounds. These methods are then used to investigate: -Several medical imaging techniques, including positron emission tomography (PET), single photon emission computed tomography (SPECT), and transmission tomography (CT scans) -Various multi-target and multi-sensor tracking applications, -Practical applications in areas like distributed sensing and detection, -Related finite point processes such as marked processes, hard core processes, cluster processes, and doubly stochastic processes, Perfect for researchers, engineers and graduate students working in electrical engineering and computer science, Poisson Point Processes will prove to be an extremely valuable volume for those seeking insight into the nature of these processes and their diverse applications.

Author(s): Roy L. Streit (auth.)
Edition: 1
Publisher: Springer US
Year: 2010

Language: English
Pages: 273
Tags: Signal, Image and Speech Processing; Probability Theory and Stochastic Processes; Probability and Statistics in Computer Science

Front Matter....Pages i-xiii
Front Matter....Pages 9-9
Introduction....Pages 1-8
Front Matter....Pages 9-9
The Poisson Point Process....Pages 11-55
Intensity Estimation....Pages 57-80
Cramér-Rao Bound (CRB) for Intensity Estimates....Pages 81-105
Front Matter....Pages 107-107
Tomographic Imaging....Pages 109-145
Multiple Target Tracking....Pages 147-178
Distributed Sensing....Pages 179-200
Front Matter....Pages 201-201
A Profusion of Point Processes....Pages 203-217
The Cutting Room Floor....Pages 219-222
Back Matter....Pages 223-273