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Poisson Point Processes

Imaging, Tracking, and Sensing

  • Roy L. Streit

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Fundamentals

    1. Front Matter
      Pages 9-9
    2. Roy L. Streit
      Pages 1-8
  3. Fundamentals

    1. Front Matter
      Pages 9-9
    2. Roy L. Streit
      Pages 11-55
    3. Roy L. Streit
      Pages 57-80
  4. Applications to Imaging, Tracking, and Distributed Sensing

    1. Front Matter
      Pages 107-107
    2. Roy L. Streit
      Pages 109-145
    3. Roy L. Streit
      Pages 147-178
    4. Roy L. Streit
      Pages 179-200
  5. Beyond the Poisson Point Process

    1. Front Matter
      Pages 201-201
    2. Roy L. Streit
      Pages 203-217
    3. Roy L. Streit
      Pages 219-222
  6. Back Matter
    Pages 223-273

About this book

Introduction

"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.

Keywords

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

Authors and affiliations

  • Roy L. Streit
    • 1
  1. 1.Metron Inc.RestonUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4419-6923-1
  • Copyright Information Springer Science + Business Media 2010
  • Publisher Name Springer, Boston, MA
  • eBook Packages Engineering
  • Print ISBN 978-1-4419-6922-4
  • Online ISBN 978-1-4419-6923-1
  • Buy this book on publisher's site