Mathematical Models in Photographic Science

Mathematics in Industry

David Ross, Avner Friedman

184 pages, parution le 15/01/2003

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Résumé

This book presents mathematical models that arise in current photographic science. The book contains seventeen chapters, each dealing with one area of photographic science, and a final chapter containing exercises. Each chapter, except the two introductory chapters and the last one, begins with general background information at a level understandable by graduate and undergraduate students. It then proceeds to develop a mathematical model, using mathematical tools such as ordinary differential equations, partial differential equations, and stochastic processes.
Next, some mathematical results are mentioned, often providing a partial solution to problems raised by the model. Finally, most chapters include open problems. The last chapter of the book contains Modeling and Applied Mathematics exercises based on the material presented in the earlier chapters.These exercises are intended primarily for graduate students and advanced undergraduates.

Contents

1. History of Photography
Part I. The Components of a Film
2. An Overview
3. Crystal Growth - Ostwald Ripening
4. CrystalGrowth- Sidearm Precipitation
5. Gelatin Swelling
6. Gelation
7. Polymeric Base
Part II. The Role of Surfactants
8. Limited Coalescence
9. Measuring Coalescence
Part III. Coating
10. Newtonian Coating Flows
11. Coating Configurations
12. Curtain Coating
13. Shear Thinning
Part IV. Image Capture
14. Latent Image Formation
15. Granularity
Part V. Development
16. A Reaction-Diffusion System
17. Parameter Identification

L'auteur - David Ross

David Ross, Rochester Institute of Technology, Rochester, NY

L'auteur - Avner Friedman

Avner Friedman, Ohio State University, Columbus, OH

Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	David Ross, Avner Friedman
Parution	15/01/2003
Nb. de pages	184
Format	16 x 24
Couverture	Relié
Poids	480g
Intérieur	Noir et Blanc
EAN13	9783540442196