Mathematical Models in Photographic Science

  • Avner Friedman
  • David S. Ross

Part of the Mathematics in Industry book series (MATHINDUSTRY, volume 3)

Table of contents

  1. Front Matter
    Pages I-VIII
  2. Introduction

    1. Avner Friedman, David S. Ross
      Pages 1-2
  3. History of Photography

    1. Avner Friedman, David S. Ross
      Pages 3-6
  4. The Components of a Film

    1. Front Matter
      Pages 7-7
    2. Avner Friedman, David S. Ross
      Pages 9-11
    3. Avner Friedman, David S. Ross
      Pages 12-26
    4. Avner Friedman, David S. Ross
      Pages 27-38
    5. Avner Friedman, David S. Ross
      Pages 39-44
    6. Avner Friedman, David S. Ross
      Pages 45-52
    7. Avner Friedman, David S. Ross
      Pages 53-64
  5. The Role of Surfactants

    1. Front Matter
      Pages 65-66
    2. Avner Friedman, David S. Ross
      Pages 67-74
    3. Avner Friedman, David S. Ross
      Pages 75-83
  6. Coating

    1. Front Matter
      Pages 85-86
    2. Avner Friedman, David S. Ross
      Pages 87-98
    3. Avner Friedman, David S. Ross
      Pages 99-108
    4. Avner Friedman, David S. Ross
      Pages 109-130
    5. Avner Friedman, David S. Ross
      Pages 131-140
  7. Image Capture

    1. Front Matter
      Pages 141-141
    2. Avner Friedman, David S. Ross
      Pages 143-151

About this book

Introduction

th Although photography has its beginning in the 17 century, it was only in the 1920’s that photography emerged as a science. And as with other s- ences, mathematics began to play an increasing role in the development of photography. The mathematical models and problems encountered in p- tography span a very broad spectrum, from the molecular level such as the interaction between photons and silver halide grains in image formation, to chemical processing in ?lm development and issues in manufacturing and quality control. In this book we present mathematical models that arise in today’s p- tographic science. The book contains seventeen chapters, each dealing with oneareaofphotographicscience.Eachchapter,exceptthetwointroductory chapters, begins with general background information at a level understa- able by graduate and undergraduate students. It then proceeds to develop a mathematical model, using mathematical tools such as Ordinary Di?erential Equations, Partial Di?erential Equations, and Stochastic Processes. Next, some mathematical results are mentioned, often providing a partial solution to problemsraisedby the model.Finally,mostchaptersinclude problems.By the nature of the subject, there is quite a bit ofdisparity in the mathematical level of the various chapters.

Keywords

Action Design Diffusion Dispersion Transmission coating flows crystal growth gelation image formation partial differential equation photography reaction diffusion systems

Authors and affiliations

  • Avner Friedman
    • 1
  • David S. Ross
    • 2
  1. 1.Department of MathematicsOhio State UniversityColumbusUSA
  2. 2.Department of Mathematics and StatisticsRochester Institute of TechnologyRochesterUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-55755-2
  • Copyright Information Springer-Verlag Berlin Heidelberg 2003
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-62913-6
  • Online ISBN 978-3-642-55755-2
  • Series Print ISSN 1612-3956
  • About this book