Verfügbarkeit: Variational methods in imaging

Variational methods in imaging:

Gespeichert in:

Bibliographische Detailangaben
Hauptverfasser:	Scherzer, Otmar 1964- (VerfasserIn), Grasmair, Markus (VerfasserIn), Grossauer, Harald (VerfasserIn), Haltmeier, Markus (VerfasserIn), Lenzen, Frank (VerfasserIn)
Format:	Buch
Sprache:	English
Veröffentlicht:	New York, NY Springer 2009
Schriftenreihe:	Applied mathematical sciences 167
Schlagworte:	Imaging systems Variational principles Bildverarbeitung Variationsrechnung
Online-Zugang:	Inhaltstext Inhaltsverzeichnis
Beschreibung:	XIII, 320 Seiten Ill., graph. Darst.
ISBN:	9780387309316 9781441921666

Internformat

MARC


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245	1	0	\|a Variational methods in imaging \|c Otmar Scherzer ; Markus Grasmair ; Harald Grossauer ; Markus Haltmeier ; Frank Lenzen
264		1	\|a New York, NY \|b Springer \|c 2009
300			\|a XIII, 320 Seiten \|b Ill., graph. Darst.
336			\|b txt \|2 rdacontent
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490	1		\|a Applied mathematical sciences \|v 167
650		4	\|a Imaging systems
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700	1		\|a Scherzer, Otmar \|d 1964- \|0 (DE-588)120650053 \|4 aut
700	1		\|a Grasmair, Markus \|4 aut
700	1		\|a Grossauer, Harald \|4 aut
700	1		\|a Haltmeier, Markus \|4 aut
700	1		\|a Lenzen, Frank \|0 (DE-588)1065910673 \|4 aut
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Datensatz im Suchindex

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adam_text	CONTENTS PART I FUNDAMENTALS OF IMAGING 1 CASE EXAMPLES OF IMAGING . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.1 DENOISING . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.2 CHOPPING AND NODDING. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 1.3 IMAGE INPAINTING . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 1.4 X-RAYBASED COMPUTERIZED TOMOGRAPHY . . . . . . . . . . . . . . . . . . . 10 1.5 THERMOACOUSTIC COMPUTERIZED TOMOGRAPHY. . . . . . . . . . . . . . . . . 13 1.6 SCHLIEREN TOMOGRAPHY. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24 2 IMAGE AND NOISE MODELS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27 2.1 BASIC CONCEPTS OF STATISTICS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27 2.2 DIGITIZED (DISCRETE) IMAGES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31 2.3 NOISE MODELS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33 2.4 PRIORS FOR IMAGES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36 2.5 MAXIMUM A POSTERIORI ESTIMATION . . . . . . . . . . . . . . . . . . . . . . . . . 43 2.6 MAP ESTIMATION FOR NOISY IMAGES . . . . . . . . . . . . . . . . . . . . . . . . . 46 PART II REGULARIZATION 3 VARIATIONAL REGULARIZATION METHODS FOR THE SOLUTION OF INVERSE PROBLEMS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53 3.1 QUADRATIC TIKHONOV REGULARIZATION IN HILBERT SPACES . . . . . . . . 54 3.2 VARIATIONAL REGULARIZATION METHODS IN BANACH SPACES . . . . . . . . 60 3.3 REGULARIZATION WITH SPARSITY CONSTRAINTS . . . . . . . . . . . . . . . . . . . 79 3.4 LINEAR INVERSE PROBLEMS WITH CONVEX CONSTRAINTS . . . . . . . . . . . 89 3.5 SCHLIEREN TOMOGRAPHY. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 109 3.6 FURTHER LITERATURE ON REGULARIZATION METHODS FOR INVERSE PROBLEMS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 112 XI XII CONTENTS 4 CONVEX REGULARIZATION METHODS FOR DENOISING . . . . . . . . . . . . . 115 4.1 THE -NUMBER . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 120 4.2 CHARACTERIZATION OF MINIMIZERS . . . . . . . . . . . . . . . . . . . . . . . . . . . . 125 4.3 ONE-DIMENSIONAL RESULTS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 131 4.4 TAUT STRING ALGORITHM . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 137 4.5 MUMFORDSHAH REGULARIZATION . . . . . . . . . . . . . . . . . . . . . . . . . . . . 151 4.6 RECENT TOPICS ON DENOISING WITH VARIATIONAL METHODS . . . . . . . . 155 5 VARIATIONAL CALCULUS FOR NON-CONVEX REGULARIZATION . . . . . . . . 159 5.1 DIRECT METHODS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 160 5.2 RELAXATION ON SOBOLEV SPACES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 162 5.3 RELAXATION ON BV . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 167 5.4 APPLICATIONS IN NON-CONVEX REGULARIZATION. . . . . . . . . . . . . . . . . . 172 5.5 ONE-DIMENSIONAL RESULTS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 178 5.6 EXAMPLES. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 180 6 SEMI-GROUP THEORY AND SCALE SPACES . . . . . . . . . . . . . . . . . . . . . . 185 6.1 LINEAR SEMI-GROUP THEORY . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 186 6.2 NON-LINEAR SEMI-GROUPS IN HILBERT SPACES . . . . . . . . . . . . . . . . . . . 190 6.3 NON-LINEAR SEMI-GROUPS IN BANACH SPACES. . . . . . . . . . . . . . . . . . . 193 6.4 AXIOMATIC APPROACH TO SCALE SPACES . . . . . . . . . . . . . . . . . . . . . . . 197 6.5 EVOLUTION BY NON-CONVEX ENERGY FUNCTIONALS . . . . . . . . . . . . . . . 200 6.6 ENHANCING . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 202 7 INVERSE SCALE SPACES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 205 7.1 ITERATIVE TIKHONOV REGULARIZATION . . . . . . . . . . . . . . . . . . . . . . . . . 206 7.2 ITERATIVE REGULARIZATION WITH BREGMAN DISTANCES . . . . . . . . . . . . 209 7.3 RECENT TOPICS ON EVOLUTIONARY EQUATIONS FOR INVERSE PROBLEMS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 217 PART III MATHEMATICAL FOUNDATIONS 8 FUNCTIONAL ANALYSIS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 221 8.1 GENERAL TOPOLOGY . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 221 8.2 LOCALLY CONVEX SPACES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 224 8.3 BOUNDED LINEAR OPERATORS AND FUNCTIONALS . . . . . . . . . . . . . . . . . 227 8.4 LINEAR OPERATORS IN HILBERT SPACES . . . . . . . . . . . . . . . . . . . . . . . . 231 8.5 WEAK AND WEAK TOPOLOGIES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 234 8.6 SPACES OF DIFFERENTIABLE FUNCTIONS . . . . . . . . . . . . . . . . . . . . . . . . . 237 9 WEAKLY DIFFERENTIABLE FUNCTIONS . . . . . . . . . . . . . . . . . . . . . . . . . . . 239 9.1 MEASURE AND INTEGRATION THEORY. . . . . . . . . . . . . . . . . . . . . . . . . . . 239 9.2 DISTRIBUTIONS AND DISTRIBUTIONAL DERIVATIVES . . . . . . . . . . . . . . . . 248 9.3 GEOMETRICAL PROPERTIES OF FUNCTIONS AND DOMAINS . . . . . . . . . . . 250 9.4 SOBOLEV SPACES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 254 CONTENTS XIII 9.5 CONVOLUTION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 261 9.6 SOBOLEV SPACES OF FRACTIONAL ORDER . . . . . . . . . . . . . . . . . . . . . . . . 262 9.7 BOCHNER SPACES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 263 9.8 FUNCTIONS OF BOUNDED VARIATION . . . . . . . . . . . . . . . . . . . . . . . . . . . 265 10 CONVEX ANALYSIS AND CALCULUS OF VARIATIONS . . . . . . . . . . . . . . . 273 10.1 CONVEX AND LOWER SEMI-CONTINUOUS FUNCTIONALS . . . . . . . . . . . . . 274 10.2 FENCHEL DUALITY AND SUBDIFFERENTIABILITY . . . . . . . . . . . . . . . . . . . . 276 10.3 DUALITY MAPPINGS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 280 10.4 DIFFERENTIABILITY OF FUNCTIONALS AND OPERATORS . . . . . . . . . . . . . . . 281 10.5 DERIVATIVES OF INTEGRAL FUNCTIONALS ON L P ( * ) . . . . . . . . . . . . . . . . 284 REFERENCES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 287 NOMENCLATURE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 309 INDEX . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 315
adam_txt	CONTENTS PART I FUNDAMENTALS OF IMAGING 1 CASE EXAMPLES OF IMAGING . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.1 DENOISING . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.2 CHOPPING AND NODDING. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 1.3 IMAGE INPAINTING . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 1.4 X-RAYBASED COMPUTERIZED TOMOGRAPHY . . . . . . . . . . . . . . . . . . . 10 1.5 THERMOACOUSTIC COMPUTERIZED TOMOGRAPHY. . . . . . . . . . . . . . . . . 13 1.6 SCHLIEREN TOMOGRAPHY. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24 2 IMAGE AND NOISE MODELS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27 2.1 BASIC CONCEPTS OF STATISTICS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27 2.2 DIGITIZED (DISCRETE) IMAGES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31 2.3 NOISE MODELS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33 2.4 PRIORS FOR IMAGES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36 2.5 MAXIMUM A POSTERIORI ESTIMATION . . . . . . . . . . . . . . . . . . . . . . . . . 43 2.6 MAP ESTIMATION FOR NOISY IMAGES . . . . . . . . . . . . . . . . . . . . . . . . . 46 PART II REGULARIZATION 3 VARIATIONAL REGULARIZATION METHODS FOR THE SOLUTION OF INVERSE PROBLEMS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53 3.1 QUADRATIC TIKHONOV REGULARIZATION IN HILBERT SPACES . . . . . . . . 54 3.2 VARIATIONAL REGULARIZATION METHODS IN BANACH SPACES . . . . . . . . 60 3.3 REGULARIZATION WITH SPARSITY CONSTRAINTS . . . . . . . . . . . . . . . . . . . 79 3.4 LINEAR INVERSE PROBLEMS WITH CONVEX CONSTRAINTS . . . . . . . . . . . 89 3.5 SCHLIEREN TOMOGRAPHY. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 109 3.6 FURTHER LITERATURE ON REGULARIZATION METHODS FOR INVERSE PROBLEMS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 112 XI XII CONTENTS 4 CONVEX REGULARIZATION METHODS FOR DENOISING . . . . . . . . . . . . . 115 4.1 THE -NUMBER . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 120 4.2 CHARACTERIZATION OF MINIMIZERS . . . . . . . . . . . . . . . . . . . . . . . . . . . . 125 4.3 ONE-DIMENSIONAL RESULTS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 131 4.4 TAUT STRING ALGORITHM . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 137 4.5 MUMFORDSHAH REGULARIZATION . . . . . . . . . . . . . . . . . . . . . . . . . . . . 151 4.6 RECENT TOPICS ON DENOISING WITH VARIATIONAL METHODS . . . . . . . . 155 5 VARIATIONAL CALCULUS FOR NON-CONVEX REGULARIZATION . . . . . . . . 159 5.1 DIRECT METHODS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 160 5.2 RELAXATION ON SOBOLEV SPACES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 162 5.3 RELAXATION ON BV . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 167 5.4 APPLICATIONS IN NON-CONVEX REGULARIZATION. . . . . . . . . . . . . . . . . . 172 5.5 ONE-DIMENSIONAL RESULTS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 178 5.6 EXAMPLES. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 180 6 SEMI-GROUP THEORY AND SCALE SPACES . . . . . . . . . . . . . . . . . . . . . . 185 6.1 LINEAR SEMI-GROUP THEORY . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 186 6.2 NON-LINEAR SEMI-GROUPS IN HILBERT SPACES . . . . . . . . . . . . . . . . . . . 190 6.3 NON-LINEAR SEMI-GROUPS IN BANACH SPACES. . . . . . . . . . . . . . . . . . . 193 6.4 AXIOMATIC APPROACH TO SCALE SPACES . . . . . . . . . . . . . . . . . . . . . . . 197 6.5 EVOLUTION BY NON-CONVEX ENERGY FUNCTIONALS . . . . . . . . . . . . . . . 200 6.6 ENHANCING . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 202 7 INVERSE SCALE SPACES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 205 7.1 ITERATIVE TIKHONOV REGULARIZATION . . . . . . . . . . . . . . . . . . . . . . . . . 206 7.2 ITERATIVE REGULARIZATION WITH BREGMAN DISTANCES . . . . . . . . . . . . 209 7.3 RECENT TOPICS ON EVOLUTIONARY EQUATIONS FOR INVERSE PROBLEMS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 217 PART III MATHEMATICAL FOUNDATIONS 8 FUNCTIONAL ANALYSIS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 221 8.1 GENERAL TOPOLOGY . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 221 8.2 LOCALLY CONVEX SPACES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 224 8.3 BOUNDED LINEAR OPERATORS AND FUNCTIONALS . . . . . . . . . . . . . . . . . 227 8.4 LINEAR OPERATORS IN HILBERT SPACES . . . . . . . . . . . . . . . . . . . . . . . . 231 8.5 WEAK AND WEAK TOPOLOGIES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 234 8.6 SPACES OF DIFFERENTIABLE FUNCTIONS . . . . . . . . . . . . . . . . . . . . . . . . . 237 9 WEAKLY DIFFERENTIABLE FUNCTIONS . . . . . . . . . . . . . . . . . . . . . . . . . . . 239 9.1 MEASURE AND INTEGRATION THEORY. . . . . . . . . . . . . . . . . . . . . . . . . . . 239 9.2 DISTRIBUTIONS AND DISTRIBUTIONAL DERIVATIVES . . . . . . . . . . . . . . . . 248 9.3 GEOMETRICAL PROPERTIES OF FUNCTIONS AND DOMAINS . . . . . . . . . . . 250 9.4 SOBOLEV SPACES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 254 CONTENTS XIII 9.5 CONVOLUTION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 261 9.6 SOBOLEV SPACES OF FRACTIONAL ORDER . . . . . . . . . . . . . . . . . . . . . . . . 262 9.7 BOCHNER SPACES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 263 9.8 FUNCTIONS OF BOUNDED VARIATION . . . . . . . . . . . . . . . . . . . . . . . . . . . 265 10 CONVEX ANALYSIS AND CALCULUS OF VARIATIONS . . . . . . . . . . . . . . . 273 10.1 CONVEX AND LOWER SEMI-CONTINUOUS FUNCTIONALS . . . . . . . . . . . . . 274 10.2 FENCHEL DUALITY AND SUBDIFFERENTIABILITY . . . . . . . . . . . . . . . . . . . . 276 10.3 DUALITY MAPPINGS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 280 10.4 DIFFERENTIABILITY OF FUNCTIONALS AND OPERATORS . . . . . . . . . . . . . . . 281 10.5 DERIVATIVES OF INTEGRAL FUNCTIONALS ON L P ( * ) . . . . . . . . . . . . . . . . 284 REFERENCES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 287 NOMENCLATURE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 309 INDEX . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 315
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discipline_str_mv	Informatik Mathematik Elektrotechnik / Elektronik / Nachrichtentechnik
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id	DE-604.BV035086939
illustrated	Illustrated
index_date	2024-07-02T22:09:14Z
indexdate	2024-07-09T21:21:53Z
institution	BVB
isbn	9780387309316 9781441921666
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-016755111
oclc_num	271770508
open_access_boolean
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physical	XIII, 320 Seiten Ill., graph. Darst.
publishDate	2009
publishDateSearch	2009
publishDateSort	2009
publisher	Springer
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series	Applied mathematical sciences
series2	Applied mathematical sciences
spelling	Variational methods in imaging Otmar Scherzer ; Markus Grasmair ; Harald Grossauer ; Markus Haltmeier ; Frank Lenzen New York, NY Springer 2009 XIII, 320 Seiten Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Applied mathematical sciences 167 Imaging systems Variational principles Bildverarbeitung (DE-588)4006684-8 gnd rswk-swf Variationsrechnung (DE-588)4062355-5 gnd rswk-swf Bildverarbeitung (DE-588)4006684-8 s Variationsrechnung (DE-588)4062355-5 s DE-604 Scherzer, Otmar 1964- (DE-588)120650053 aut Grasmair, Markus aut Grossauer, Harald aut Haltmeier, Markus aut Lenzen, Frank (DE-588)1065910673 aut Erscheint auch als Online-Ausgabe 978-0-387-69277-7 Applied mathematical sciences 167 (DE-604)BV000005274 167 text/html http://deposit.dnb.de/cgi-bin/dokserv?id=2710441&prov=M&dok_var=1&dok_ext=htm Inhaltstext SWB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016755111&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Scherzer, Otmar 1964- Grasmair, Markus Grossauer, Harald Haltmeier, Markus Lenzen, Frank Variational methods in imaging Applied mathematical sciences Imaging systems Variational principles Bildverarbeitung (DE-588)4006684-8 gnd Variationsrechnung (DE-588)4062355-5 gnd
subject_GND	(DE-588)4006684-8 (DE-588)4062355-5
title	Variational methods in imaging
title_auth	Variational methods in imaging
title_exact_search	Variational methods in imaging
title_exact_search_txtP	Variational methods in imaging
title_full	Variational methods in imaging Otmar Scherzer ; Markus Grasmair ; Harald Grossauer ; Markus Haltmeier ; Frank Lenzen
title_fullStr	Variational methods in imaging Otmar Scherzer ; Markus Grasmair ; Harald Grossauer ; Markus Haltmeier ; Frank Lenzen
title_full_unstemmed	Variational methods in imaging Otmar Scherzer ; Markus Grasmair ; Harald Grossauer ; Markus Haltmeier ; Frank Lenzen
title_short	Variational methods in imaging
title_sort	variational methods in imaging
topic	Imaging systems Variational principles Bildverarbeitung (DE-588)4006684-8 gnd Variationsrechnung (DE-588)4062355-5 gnd
topic_facet	Imaging systems Variational principles Bildverarbeitung Variationsrechnung
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volume_link	(DE-604)BV000005274
work_keys_str_mv	AT scherzerotmar variationalmethodsinimaging AT grasmairmarkus variationalmethodsinimaging AT grossauerharald variationalmethodsinimaging AT haltmeiermarkus variationalmethodsinimaging AT lenzenfrank variationalmethodsinimaging

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