Gelation
As we described earlier, photographic film is made up of a polymeric base onto which emulsion and gelatin layers are coated; the emulsions contain silver halide grains, oil droplets (containing coupler) and other chemicals. In this chapter we consider the
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Springer-Verlag Berlin Heidelberg GmbH
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Springer-Verlag Berlin Heidelberg GmbH
Avner Friedman David S. Ross
Mathematical Models in Photographic Science
With 57 Figures
123
Avner Friedman Ohio State University Department of Mathematics 231, W. 18th Avenue Columbus, OH 43210, USA e-mail: [email protected] David S. Ross Rochester Institute of Technology Department of Mathematics and Statistics 85, Lomb Memorial Drive Rochester, NY 14623-5602, USA e-mail: [email protected]
Cataloging-in-Publication Data applied for Bibliographic information published by Die Deutsche Bibliothek Die Deutsche Bibliothek lists this publication in the Deutsche Nationalbibliografie; detailed bibliographic data is available in the Internet at .
Mathematics Subject Classification (2000): 35G25, 35J25, 35K22, 35K57, 35L60, 35L70, 35Q35, 60G99, 60J65, 70F99, 73F05, 73K20, 76A05, 76D05, 76D07, 80A23, 80A32, 82C22, 82C24, 82C26, 82D25,82D60
ISBN 978-3-642-55755-2 (eBook) ISBN 978-3-642-62913-6 DOI 10.1007/978-3-642-55755-2 This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer-Verlag. Violations are liable for prosecution under the German Copyright Law.
http://www.springer.de © Springer-Verlag Berlin Heidelberg 2003 Originally published by Springer-Verlag Berlin Heidelberg New York in 2003 Softcover reprint of the hardcover 1st edition 2003 The use of registered names, trademarks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. Typeset by the authors. Edited by Kurt Mattes, Heidelberg, using a Springer TEX macro-package. Cover design: design & production GmbH, Heidelberg SPIN: 10874760 46/3142LK - 5 4 3 2 1 0 Printed on acid-free paper
Table of Contents
Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
1
History of Photography . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
3 6
1.
Part I. The Components of a Film 2.
An Overview . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
9
3.
Crystal Growth – Ostwald Ripening . . . . . . . . . . . . . . . . . . . . . . 3.1 The Model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3.2 Mathematical Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3.3 A More General Model . . . . . . . . . . . . . .
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