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Mathematical Models in Photographic Science

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ISBN-10: 3540442197

ISBN-13: 9783540442196

Edition: 2003

Authors: Avner Friedman, David S. Ross

List price: $54.99
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Description:

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…    
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Book details

List price: $54.99
Copyright year: 2003
Publisher: Springer Berlin / Heidelberg
Publication date: 12/11/2002
Binding: Hardcover
Pages: 184
Size: 6.10" wide x 9.25" long x 0.50" tall
Weight: 2.2
Language: English

Introduction
History of Photography
References
The Components of a Film
An Overview
Crystal Growth - Ostwald Ripening
The Model
Mathematical Analysis
A More General Model
Open Problems
Ostwald Ripening in a Colloidal Dispersion
Exercises
References
Crystal Growth-Sidearm Precipitation
The Physical Model
Mathematical Model for CSTR Mixer
Mathematical Model for PFR Mixer
Mathematical Analysis
Open Problems
Exercises
References
Gelatin Swelling
Introduction
A Mathematical Model
Mathematical Results
Open Problems
References
Gelation
Introduction
The Model
Mathematical Analysis
Open Problems
Exercises
References
Polymeric Base
Bending Recovery of Elastic Film
Viscoelastic Material
The Bending Recovery Function for t > t<sub>w</sub>
Exercises
References
The Role of Surfactants
Limited Coalescence
Introduction
The Model
Mathematical Results
Open Problems
References
Measuring Coalescence
The Coalescence Problem
Introducing Chemiluminescent Species
Mathematical Results
Open Problems
References
Coating
Newtonian Coating Flows
The Mathematical Model
The Dynamic Contact Angle
Mathematical Results
Open Problems
Exercise
References
Coating Configurations
An Extrusion Die
The Basic Model
Fluid Flow in the Slot
Design Problems
Exercise
References
Curtain Coating
Reducing the Surface Tension
Measuring DST
Potential Flow Model of a Curtain
Time-Dependent Liquid Curtains
Open Problems
Exercises
References
Shear Thinning
Motivation
Viscosity Divergence
Brownian Dynamics
Numerical Results
Future Directions
References
Image Capture
Latent Image Formation
The Physical Model
Monte Carlo Simulation
An Alternative Approach
References
Granularity
Transmittance and Granularity
Moments of the Transmission
Open Problems
References
Development
A Reaction-Diffusion System
The Development Process
A Mathematical Model
Homogenization
Edge Enhancement
Acutance
Open Problems
Exercises
References
Parameter Identification
The Direct Problem
The Inverse Problems
A Solution to an Inverse Problem
Open Problems
Exercises
References
Index