Poisson Point Processes

This overview of non-homogeneous and multidimensional Poisson point processes and their applications features mathematical tools and applications from emission- and transmission-computed tomography to multiple target tracking and distributed sensor detection.

"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.

Offers an overview of non-homogeneous Poisson point processes Covers applications ranging from emissions tomography to multi-target tracking Discusses topics wihich competitive texts lack, such as intensity estimation techniques and finite random sets Includes supplementary material: sn.pub/extras

Inhalt
Fundamentals.- Fundamentals.- The Poisson Point Process.- Intensity Estimation.- Cramér-Rao Bound (CRB) for Intensity Estimates.- Applications to Imaging, Tracking, and Distributed Sensing.- Tomographic Imaging.- Multiple Target Tracking.- Distributed Sensing.- Beyond the Poisson Point Process.- A Profusion of Point Processes.- The Cutting Room Floor.