Probability, Statistical Optics, and Data Testing

A Problem Solving Approach

  • B. Roy Frieden

Part of the Springer Series in Information Sciences book series (SSINF, volume 10)

Table of contents

  1. Front Matter
    Pages I-XVII
  2. B. Roy Frieden
    Pages 1-6
  3. B. Roy Frieden
    Pages 7-36
  4. B. Roy Frieden
    Pages 37-69
  5. B. Roy Frieden
    Pages 70-98
  6. B. Roy Frieden
    Pages 99-133
  7. B. Roy Frieden
    Pages 134-161
  8. B. Roy Frieden
    Pages 162-176
  9. B. Roy Frieden
    Pages 177-232
  10. B. Roy Frieden
    Pages 264-293
  11. B. Roy Frieden
    Pages 294-306
  12. B. Roy Frieden
    Pages 307-319
  13. B. Roy Frieden
    Pages 320-326
  14. B. Roy Frieden
    Pages 350-361
  15. Back Matter
    Pages 374-406

About this book

Introduction

A basic skill in probability is practically demanded nowadays in many bran­ ches of optics, especially in image science. On the other hand, there is no text presently available that develops probability, and its companion fields stochastic processes and statistics, from the optical perspective. [Short of a book, a chapter was recently written for this purpose; see B. R. Frieden (ed. ): The Computer in Optical Research, Topics in Applied Physics, Vol. 41 (Springer, Berlin, Heidelberg, New York 1980) Chap. 3] Most standard texts either use illustrative examples and problems from electrical engineering or from the life sciences. The present book is meant to remedy this situation, by teaching probability with the specific needs of the optical researcher in mind. Virtually all the illustrative examples and applications of the theory are from image science and other fields of optics. One might say that photons have replaced electrons in nearly all considera­ tions here. We hope, in this manner, to make the learning of probability a pleasant and absorbing experience for optical workers. Some of the remaining applications are from information theory, a con­ cept which complements image science in particular. As will be seen, there are numerous tie-ins between the two concepts. Students will be adequately prepared for the material in this book if they have had a course in calculus, and know the basics of matrix manipulation.

Keywords

Fourier transform Optics Optik Probability Statistik Stochastischer Prozess Wahrscheinlichkeitsrechnung eigenvalue electrons entropy photon physics solution stochastic process turbulence

Authors and affiliations

  • B. Roy Frieden
    • 1
  1. 1.Optical Sciences CenterThe University of ArizonaTucsonUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-96732-0
  • Copyright Information Springer-Verlag Berlin Heidelberg 1983
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-96734-4
  • Online ISBN 978-3-642-96732-0
  • Series Print ISSN 0720-678X
  • About this book