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Mathematical Models in Photographic Science

  • Book
  • © 2003

Overview

Authors:
  1. Avner Friedman

    1. Department of Mathematics, Ohio State University, Columbus, USA

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    You can also search for this author in PubMed   Google Scholar

  2. David S. Ross

    1. Department of Mathematics and Statistics, Rochester Institute of Technology, Rochester, USA

    View author publications

    You can also search for this author in PubMed   Google Scholar

  • This is the only comprehensive monograph on the topix
  • Has textbook potential
  • Includes supplementary material: sn.pub/extras

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

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Table of contents (18 chapters)

  1. Front Matter

    Pages I-VIII
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  2. Introduction

    1. Introduction

      • Avner Friedman, David S. Ross
      Pages 1-2

  3. History of Photography

    1. History of Photography

      • Avner Friedman, David S. Ross
      Pages 3-6

  4. The Components of a Film

    1. Front Matter

      Pages 7-7
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    2. An Overview

      • Avner Friedman, David S. Ross
      Pages 9-11

    3. Crystal Growth — Ostwald Ripening

      • Avner Friedman, David S. Ross
      Pages 12-26

    4. Crystal Growth-Sidearm Precipitation

      • Avner Friedman, David S. Ross
      Pages 27-38

    5. Gelatin Swelling

      • Avner Friedman, David S. Ross
      Pages 39-44

    6. Gelation

      • Avner Friedman, David S. Ross
      Pages 45-52

    7. Polymeric Base

      • Avner Friedman, David S. Ross
      Pages 53-64

  5. The Role of Surfactants

    1. Front Matter

      Pages 65-66
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    2. Limited Coalescence

      • Avner Friedman, David S. Ross
      Pages 67-74

    3. Measuring Coalescence

      • Avner Friedman, David S. Ross
      Pages 75-83

  6. Coating

    1. Front Matter

      Pages 85-86
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    2. Newtonian Coating Flows

      • Avner Friedman, David S. Ross
      Pages 87-98

    3. Coating Configurations

      • Avner Friedman, David S. Ross
      Pages 99-108

    4. Curtain Coating

      • Avner Friedman, David S. Ross
      Pages 109-130

    5. Shear Thinning

      • Avner Friedman, David S. Ross
      Pages 131-140

  7. Image Capture

    1. Front Matter

      Pages 141-141
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    2. Latent Image Formation

      • Avner Friedman, David S. Ross
      Pages 143-151
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Keywords

About this book

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.

Reviews

This book provides an interesting and well documented presentation of mathematical topics related to photographic sciences. [...] This is an attractive and easy to read book, which is characterized by a valuable (in the reviewer¿s opinion) feature: each chapter covers the whole path from the phenomenological analysis and interpretation of the real system, to modeling, statement of problems related to the application of models, an outline of qualitative analysis, and finally to perspectives and open problems.

This book is recommended to applied mathematicians interested in industrial mathematics and is intended for applications and the development of mathematical methods for problems generated from technology. It is also a good text for advanced university courses on mathematical modeling to be joined to courses on computational methods.

Applied mathematicians will find a description of open problems which are definitely challenging even for experienced mathematicians.

MathSciNet 2004. Nicola Bellomo (I-TRNP)

Authors and Affiliations

  • Department of Mathematics, Ohio State University, Columbus, USA

    Avner Friedman

  • Department of Mathematics and Statistics, Rochester Institute of Technology, Rochester, USA

    David S. Ross

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