Poisson Point Processes

1. Front Matter

   Pages i-xiii

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2. Fundamentals

   1. Front Matter

      Pages 9-9

      PDF

   2. Introduction

      • Roy L. Streit

      Pages 1-8

3. Fundamentals

   1. Front Matter

      Pages 9-9

      PDF

   2. The Poisson Point Process

      • Roy L. Streit

      Pages 11-55

   3. Intensity Estimation

      • Roy L. Streit

      Pages 57-80

   4. Cramér-Rao Bound (CRB) for Intensity Estimates

      • Roy L. Streit

      Pages 81-105

4. Applications to Imaging, Tracking, and Distributed Sensing

   1. Front Matter

      Pages 107-107

      PDF

   2. Tomographic Imaging

      • Roy L. Streit

      Pages 109-145

   3. Multiple Target Tracking

      • Roy L. Streit

      Pages 147-178

   4. Distributed Sensing

      • Roy L. Streit

      Pages 179-200

5. Beyond the Poisson Point Process

   1. Front Matter

      Pages 201-201

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   2. A Profusion of Point Processes

      • Roy L. Streit

      Pages 203-217

   3. The Cutting Room Floor

      • Roy L. Streit

      Pages 219-222

6. Back Matter

   Pages 223-273

   PDF

"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.

• Computer
• Likelihood
• Poisson point processes
• computer science
• emission tomography
• multiple sensor tracking
• multiple target tracking
• nonlinear transformation
• stochastic transformation

• Metron Inc., Reston, USA

  Roy L. Streit

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