Avner Friedman, David Ross

Mathematical Models in Photographic Science (eBook, PDF)

• Format: PDF

Produktbeschreibung

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, begin 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.

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Produktdetails

• Verlag: Springer Berlin Heidelberg
• Seitenzahl: 184
• Erscheinungstermin: 6. Dezember 2012
• Englisch
• ISBN-13: 9783642557552
• Artikelnr.: 53087431

Autorenporträt

Avner Friedman, Ohio State University, Columbus, OH, USA / David Ross, Rochester Institute of Technology, Rochester, NY, USA

Inhaltsangabe

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

Rezensionen

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)