Holdings: Mathematical models in photographic science

Mathematical models in photographic science:

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Bibliographic Details
Main Authors:	Friedman, Avner 1932- (Author), Ross, David S. (Author)
Format:	Book
Language:	English
Published:	Berlin ; Heidelberg ; New York ; Hong Kong ; London ; Milan ; Pa Springer 2003
Series:	Mathematics in industry 3
Subjects:	Mathematisches Modell Photographic chemistry > Mathematical models Photography > Processing > Mathematical models Fotografischer Prozess
Online Access:	Inhaltsverzeichnis
Item Description:	Literaturangaben
Physical Description:	VIII, 184 S. graph. Darst.
ISBN:	3540442197

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245	1	0	\|a Mathematical models in photographic science \|c Avner Friedman ; David S. Ross
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Record in the Search Index

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adam_text	TABLE OF CONTENTS INTRODUCTION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1. HISTORY OF PHOTOGRAPHY . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 REFERENCES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 PART I. THE COMPONENTS OF A FILM 2. AN OVERVIEW . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 3. CRYSTAL GROWTH * OSTWALD RIPENING . . . . . . . . . . . . . . . . . . . . . . 12 3.1 THE MODEL . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 3.2 MATHEMATICAL ANALYSIS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 3.3 A MORE GENERAL MODEL . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 3.4 OPEN P ROBLEMS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 3.5 OSTWALD RIPENING IN A COLLOIDAL DISPERSION . . . . . . . . . . . . . . . . 21 3.6 EXERCISES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 REFERENCES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26 4. CRYSTAL GROWTH-SIDEARM PRECIPITATION . . . . . . . . . . . . . . . . . . . . 27 4.1 THE P HYSICAL MODEL. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27 4.2 MATHEMATICAL MODEL FOR CSTR MIXER . . . . . . . . . . . . . . . . . . . . . 30 4.3 MATHEMATICAL MODEL FOR P FR MIXER . . . . . . . . . . . . . . . . . . . . . . 34 4.4 MATHEMATICAL ANALYSIS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35 4.5 OPEN P ROBLEMS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37 4.6 EXERCISES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37 REFERENCES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38 5. GELATIN SWELLING . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39 5.1 INTRODUCTION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39 5.2 A MATHEMATICAL MODEL . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 40 5.3 MATHEMATICAL RESULTS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 42 5.4 OPEN P ROBLEMS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44 REFERENCES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44 VI TABLE OF CONTENTS 6. GELATION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45 6.1 INTRODUCTION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45 6.2 THE MODEL . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46 6.3 MATHEMATICAL ANALYSIS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 48 6.4 OPEN P ROBLEMS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51 6.5 EXERCISES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51 REFERENCES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52 7. POLYMERIC BASE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53 7.1 BENDING RECOVERY OF ELASTIC FILM . . . . . . . . . . . . . . . . . . . . . . . . . 53 7.2 VISCOELASTIC MATERIAL . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 56 7.3 THE BENDING RECOVERY FUNCTION FOR T T W . . . . . . . . . . . . . . . . . 58 7.4 EXERCISES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 64 REFERENCES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 64 PART II. THE ROLE OF SURFACTANTS 8. LIMITED COALESCENCE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 67 8.1 INTRODUCTION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 67 8.2 THE MODEL . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 68 8.3 MATHEMATICAL RESULTS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 70 8.4 OPEN P ROBLEMS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 74 REFERENCES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 74 9. MEASURING COALESCENCE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75 9.1 THE COALESCENCE P ROBLEM. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75 9.2 INTRODUCING CHEMILUMINESCENT SPECIES . . . . . . . . . . . . . . . . . . . . 77 9.3 MATHEMATICAL RESULTS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 79 9.4 OPEN P ROBLEMS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 82 REFERENCES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 82 PART III. COATING 10. NEWTONIAN COATING FLOWS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 87 10.1 THE MATHEMATICAL MODEL . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 87 10.2 THE DYNAMIC CONTACT ANGLE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 92 10.3 MATHEMATICAL RESULTS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 93 10.4 OPEN P ROBLEMS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 96 10.5 EXERCISE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 97 REFERENCES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 97 11. COATING CONFIGURATIONS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 99 11.1 AN EXTRUSION DIE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 99 11.2 THE BASIC MODEL . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 101 TABLE OF CONTENTS VII 11.3 FLUID FLOW IN THE SLOT. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 102 11.4 DESIGN P ROBLEMS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 106 11.5 EXERCISE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 108 REFERENCES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 108 12. CURTAIN COATING . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 109 12.1 REDUCING THE SURFACE TENSION . . . . . . . . . . . . . . . . . . . . . . . . . . . . 109 12.2 MEASURING DST . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 115 12.3 P OTENTIAL FLOW MODEL OF A CURTAIN . . . . . . . . . . . . . . . . . . . . . . . . 120 12.4 TIME-DEPENDENT LIQUID CURTAINS . . . . . . . . . . . . . . . . . . . . . . . . . 124 12.5 OPEN P ROBLEMS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 128 12.6 EXERCISES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 128 REFERENCES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 129 13. SHEAR THINNING . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 131 13.1 MOTIVATION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 131 13.2 VISCOSITY DIVERGENCE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 131 13.3 BROWNIAN DYNAMICS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 133 13.4 NUMERICAL RESULTS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 136 13.5 FUTURE DIRECTIONS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 139 REFERENCES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 140 PART IV. IMAGE CAPTURE 14. LATENT IMAGE FORMATION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 143 14.1 THE P HYSICAL MODEL. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 143 14.2 MONTE CARLO SIMULATION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 144 14.3 AN ALTERNATIVE APPROACH . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 147 REFERENCES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 151 15. GRANULARITY . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 152 15.1 TRANSMITTANCE AND GRANULARITY . . . . . . . . . . . . . . . . . . . . . . . . . . . 152 15.2 MOMENTS OF THE TRANSMISSION . . . . . . . . . . . . . . . . . . . . . . . . . . . . 154 15.3 OPEN P ROBLEMS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 157 REFERENCES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 157 PART V. DEVELOPMENT 16. A REACTION-DIFFUSION SYSTEM . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 161 16.1 THE DEVELOPMENT P ROCESS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 161 16.2 A MATHEMATICAL MODEL . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 162 16.3 HOMOGENIZATION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 165 16.4 EDGE ENHANCEMENT . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 170 16.5 ACUTANCE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 172 VIII TABLE OF CONTENTS 16.6 OPEN P ROBLEMS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 174 16.7 EXERCISES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 174 REFERENCES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 175 17. PARAMETER IDENTIFICATION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 176 17.1 THE DIRECT P ROBLEM . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 176 17.2 THE INVERSE P ROBLEMS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 178 17.3 A SOLUTION TO AN INVERSE P ROBLEM . . . . . . . . . . . . . . . . . . . . . . . . . 178 17.4 OPEN P ROBLEMS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 181 17.5 EXERCISES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 181 REFERENCES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 181 INDEX . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 183
any_adam_object	1
author	Friedman, Avner 1932- Ross, David S.
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author_facet	Friedman, Avner 1932- Ross, David S.
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dewey-ones	771 - Techniques, equipment & materials
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discipline	Kunstgeschichte Mathematik Feinwerktechnik
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id	DE-604.BV017019367
illustrated	Illustrated
indexdate	2024-07-09T19:12:50Z
institution	BVB
isbn	3540442197
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-010272136
oclc_num	51009471
open_access_boolean
owner	DE-91G DE-BY-TUM DE-11
owner_facet	DE-91G DE-BY-TUM DE-11
physical	VIII, 184 S. graph. Darst.
publishDate	2003
publishDateSearch	2003
publishDateSort	2003
publisher	Springer
record_format	marc
series	Mathematics in industry
series2	Mathematics in industry
spelling	Friedman, Avner 1932- Verfasser (DE-588)135938368 aut Mathematical models in photographic science Avner Friedman ; David S. Ross Berlin ; Heidelberg ; New York ; Hong Kong ; London ; Milan ; Pa Springer 2003 VIII, 184 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mathematics in industry 3 Literaturangaben Mathematisches Modell Photographic chemistry Mathematical models Photography Processing Mathematical models Fotografischer Prozess (DE-588)4132126-1 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Fotografischer Prozess (DE-588)4132126-1 s Mathematisches Modell (DE-588)4114528-8 s DE-604 Ross, David S. Verfasser aut Mathematics in industry 3 (DE-604)BV014253721 3 SWB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010272136&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Friedman, Avner 1932- Ross, David S. Mathematical models in photographic science Mathematics in industry Mathematisches Modell Photographic chemistry Mathematical models Photography Processing Mathematical models Fotografischer Prozess (DE-588)4132126-1 gnd Mathematisches Modell (DE-588)4114528-8 gnd
subject_GND	(DE-588)4132126-1 (DE-588)4114528-8
title	Mathematical models in photographic science
title_auth	Mathematical models in photographic science
title_exact_search	Mathematical models in photographic science
title_full	Mathematical models in photographic science Avner Friedman ; David S. Ross
title_fullStr	Mathematical models in photographic science Avner Friedman ; David S. Ross
title_full_unstemmed	Mathematical models in photographic science Avner Friedman ; David S. Ross
title_short	Mathematical models in photographic science
title_sort	mathematical models in photographic science
topic	Mathematisches Modell Photographic chemistry Mathematical models Photography Processing Mathematical models Fotografischer Prozess (DE-588)4132126-1 gnd Mathematisches Modell (DE-588)4114528-8 gnd
topic_facet	Mathematisches Modell Photographic chemistry Mathematical models Photography Processing Mathematical models Fotografischer Prozess
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010272136&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV014253721
work_keys_str_mv	AT friedmanavner mathematicalmodelsinphotographicscience AT rossdavids mathematicalmodelsinphotographicscience

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