Processing of multidimensional signals:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
1999
|
| Series: | Digital signal processing
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XII, 271 S. graph. Darst. |
| ISBN: | 3540654496 |
Staff View
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Record in the Search Index
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| adam_text | ALEXANDRE SMIRNOV PROCESSING OF MULTIDIMENSIONAL SIGNALS WITH 119
FIGURES SPRINGER TABLE OF CONTENTS INTRODUCTION 1 1.1 SIGNALS AS
PHYSICAL OBJECTS AND CARRIERS OF INFORMATION 1 1.2 BLACK BOX PARADIGM 4
1.3 MULTIDIMENSIONAL SIGNALS 6 1.4 PRINCIPAL CHAPTERS 7 1 ANALOG,
DISCRETE AND DIGITAL SIGNALS 13 1.1 PRIMARY ANALOG SIGNAL AND ITS
HARMONIC SPECTRUM 13 1.1.1 SIGNAL AS PHYSICAL OBJECT 13 111.2 PROPERTIES
OF FUNCTION F(X, Y, Z,T) 14 1.1.3 LINEAR SIGNAL TRANSFORMATIONS 19 1.1.4
TRANSFORMATIONS OF SIGNALS AND TRANSFORMATIONS OF FUNCTIONS... 20 1.1.5
SPECTRUM OF PRIMARY SIGNAL 20 1.1.6 WHITTAKER-SHANNON THEOREM 24 1.1.7
SIGNAL CLASSIFICATION 26 1.2 IMAGES AND TEMPORAL SIGNALS 28 1.2.1
ADEQUATE MATHEMATICAL MODELS OF SIGNALS 28 1.2.2 SIMPLIFICATION FOR
MATHEMATICAL MODELS 29 1.2.3 ROTATIONALLY SYMMETRIC IMAGES 33 1.2.4
DIFFERENCES BETWEEN SPATIAL AND TEMPORAL SIGNALS 34 1.3 DISCRETE AND
DIGITAL SIGNALS 39 1.3.1 DISCRETIZATION 39 1.3.2 SPECTRUM OF DISCRETE
SIGNAL 43 1.3.3 DIGITAL SIGNALS 44 1.3.4 SIGNAL INTERPOLATION AND
EXTRAPOLATION 47 1.3.5 ADDITIONAL REMARK ON SPATIAL AND TEMPORAL SIGNALS
49 1.4 DIGITAL SIGNALS IN COMPUTERS 50 1.4.1 SIGNALS REPRESENTATION 50
1.4.2 PROGRAMMABLE DIGITAL SIGNAL FILTRATION 51 1.4.3 DIGITAL IMAGES 54
1.5 ACCURACY OF MATHEMATICAL MODELS OF SIGNALS 58 2 SPATIO-TEMPORAL
FILTRATION 63 2.1 DETERMINISTIC AND STOCHASTIC COMPONENT OF SIGNAL
TRANSFORMATION... 63 2.1.1 BLACK BOX PARADIGM 63 2.1.2 CLASSIFICATION OF
OPERATORS AND NOISES OF SIGNAL TRANSFORMATIONS 65 TABLE OF CONTENTS
2.1.3 SIGNAL FILTRATION 68 2.1.4 EXPERIMENTAL INVESTIGATION OF FILTERS
68 2.1.5 DEVELOPMENT OF MATHEMATICAL MODELS OF FILTRATION 74 2.2 LINEAR
FILTERS 76 2.2.1 OPERATORS OF SPACE AND TIME INVARIANT LINEAR FILTRATION
76 2.2.2 DIFFERENCE BETWEEN SPATIAL AND TEMPORAL FILTRATION 79 2.2.3
LOW-PASS, BY-PASS AND HIGH-PASS FILTERS 82 2.2.4 LINEAR CHARACTERISTIC
CORRECTION 84 2.2.5 LINEAR SPACE VARIANT FILTRATION 85 2.3 NON-LINEAR
FILTERS 86 2.3.1 SIMPLEST SPACE AND TIME INVARIANT NON-LINEAR FILTRATION
86 2.3.2 CORRECTION OF NON-LINEAR CHARACTERISTICS 90 2.3.3 GENERAL
NON-LINEAR FILTRATION 91 2.4 SPATIO-TEMPORAL NOISES 92 2.4.1 STATISTICAL
CHARACTERISTICS OF NOISE 92 2.4.2 ADDITIVE AND MULTIPLICATIVE NOISE 94
2.4.3 LINEAR AND NON-LINEAR TRANSFORMATIONS OF ADDITIVE NOISE 96 2.5
DIGITAL FILTRATION 98 2.5.1 TEMPORAL NON-RECURSIVE AND RECURSIVE DIGITAL
FILTERS 98 2.5.2 SPATIAL DIGITAL FILTERS 102 2.5.3 PROGRAM REALIZATION
OF DIGITAL FILTRATION 105 2.5.4 CORRECTION OF CHARACTERISTICS OF LINEAR
DIGITAL FILTERS 108 2.5.5 NON-LINEAR DIGITAL FILTRATION 115 2.6 SIGNAL
RESTORATION 116 2.6.1 FORMULATION OF PROBLEMS 116 2.6.2 RESTORATION
WITHOUT NOISE 116 2.6.3 RESTORATION BY REGULARIZED PSEUDO-INVERSE
FILTERS 117 2.6.4 NOISE IN SIGNAL RESTORATION TASKS 121 2.7 ACCURACY OF
MATHEMATICAL MODELS OF SIGNAL TRANSFORMATIONS 122 2.7.1 TRANSFORMATIONS
OF ERRORS 122 2.7.2 STATISTICAL MODELING AND ESTIMATION OF TRANSFORMED
ERRORS 123 3 DISCRETIZATION AND SCANNING .... . 125 3.1 SIGNAL
TRANSMISSION AND SIGNAL STORAGE 125 3.1.1 COMMUNICATION CHANNELS AND
MULTICHANNEL LINES 125 3.1.2 STORAGE MEDIA AND MEMORIES 127 3.1.3 SYSTEM
OF IMAGE TRANSMISSION 129 3.1.4 METHODS OF SIGNAL WRITING AND READING
130 3.2 DISCRETIZATION AND DISTORTIONS OF DISCRETE SIGNALS 134 3.2.1
MATHEMATICAL AND PHYSICAL DISCRETIZATION 134 3.2.2 FILTRATION IN PROCESS
OF SIGNAL DISCRETIZATION 135 3.2.3 SIGNAL DISTORTIONS CAUSED BY
DISCRETIZATION AND INTERPOLATION... 138 3.3 SCANNING FOR READING AND
WRITING 141 3.3.1 TYPES OF SCANNING 141 TABLE OF CONTENTS XI 3.3.2 IDEAL
SCANNING ELEMENTS 143 3.3.3 FILTRATION IN SCANNING PROCESSES 146 3.3.4
SCANNING SYSTEMS 147 3.4 TRAJECTORIES OF TWO-DIMENSIONAL SCANNING 153
3.4.1 LIMITATIONS ON TRAJECTORIES OF SCANNING 153 3.4.2 SPIRAL RASTER
156 3.4.3 RADIAL RASTER 157 3.4.4 LINE RASTER AND ITS MODIFICATIONS 159
3.4.5 POINT RASTER 161 3.5 SYSTEM OF ALIVE IMAGE TRANSMISSION 163 3.5.1
TEMPORAL AND SPATIAL DISTORTIONS OF TRANSMITTED IMAGES 163 3.5.2 SYSTEM
WITH IDEAL AND NON-IDEAL VIDEOCHANNEL 165 3.5.3 USAGE OF COMB FILTERS IN
VIDEOCHANNEL 167 3.5.4 PARALLEL PROCESSING OF TEMPORAL SIGNALS 168 4
IMAGING SYSTEM QUALITY ASSESSMENT 171 4.1 PHILOSOPHY OF QUALITY
ASSESSMENT 171 4.1.1 IMAGING SYSTEMS 171 4.1.2 CRITERIA OF QUALITY
(FIGURES-OF-MERIT) 173 4.1.3 QUALITY OF IMAGING SYSTEM AS OPINION OF ITS
USERS 174 4.1.4 AIM OF IMAGING 175 4.1.5 STANDARDS OF QUALITY 177 4.1.6
ENVIRONMENT OF PROBLEM OF QUALITY ASSESSMENT 178 4.2 MEASURES OF QUALITY
179 4.2.1 MEASURES OF QUALITY FOR SPECIALIZED SYSTEMS 179 4.2.2 MEASURES
OF QUALITY BASED ON PARADIGM OF IDEAL IMAGING 181 4.2.3 UNIVERSAL
MEASURES OF QUALITY 183 4.2.4 COMPARISON OF MEASURES OF QUALITY 185 4.3
CRITERIA OF QUALITY 185 4.3.1 QUALIMETRIC EXPERIMENT 185 4.3.2
AVERAGING, TYPIZATION AND STANDARDIZATION 187 4.3.3 CHOICE OF
REPRESENTATIVE GROUP OF USERS 188 4.3.4 DESCRIPTION OF SYSTEM PROPERTIES
: 189 4.3.5 SECONDARY PARAMETERS 192 4.4 OPTICAL IMAGING SYSTEM
OPTIMIZATION 192 4.4.1 MATHEMATICAL MODELS OF OPTICAL IMAGING SYSTEMS
192 4.4.2 WAVE AND GEOMETRICAL ABERRATIONS 193 4.4.3 CRITERIA OF QUALITY
AS FUNCTIONS OF GEOMETRICAL ABERRATIONS 197 4.5 SPATIAL RESOLUTION AND
RESOLVING POWER 199 4.5.1 SPATIAL, TEMPORAL AND SPECTRAL RESOLUTION 199
4.5.2 DUAL MEASURES OF SPATIAL RESOLUTION 200 4.5.3 RESOLUTION OF
IMAGING SYSTEM WITH NOISE 203 4.5.4 RAYLEIGH CRITERION 205 4.5.5
DEVELOPMENT OF SPATIAL RESOLUTION CRITERIA 207 XII TABLE OF CONTENTS 4.6
ACCURACY OF SYSTEM OPTIMIZATION 210 5 MODULATED SIGNALS 213 5.1
MODULATION AND DEMODULATION OF SIGNALS 213 5.1.1 MODULATING SIGNALS,
CARRIERS AND MODULATED SIGNALS 213 5.1.2 DISTORTIONS OF MODULATED
SIGNALS 216 5.1.3 MODULATED SIGNAL CLASSIFICATION 218 5.2 POLYCHROMATIC
MODULATED SIGNALS 221 5.2.1 LIGHT GENERATORS AND LIGHT RECEPTORS 221
5.2.2 POLYCHROMATIC IMAGING SYSTEMS 224 5.2.3 CORRECTION OF SPECTRAL
CHARACTERISTICS 227 5.2.4 CHROMATIC DISTORTIONS 228 5.3 AMPLITUDE,
FREQUENCY, PHASE AND POLARIZATION MODULATION 229 5.3.1 MODULATED
TEMPORAL SIGNALS 229 5.3.2 RADIO COMMUNICATION 233 5.3.3 DOPPLER EFFECT
235 5.3.4 POLARIZATION MODULATION 235 5.4 PULSE MODULATION 237 5.4.1
DISCRETIZATION AS AMPLITUDE PULSE MODULATION 237 5.4.2 DURATION AND
DELAY MODULATION OF TEMPORAL SIGNALS 239 5.4.3 PULSE MODULATION OF
SPATIAL SIGNALS 241 5.4.4 PULSE MODULATION IN NEURAL NETWORKS 243 5.5
CONCLUDING REMARKS 243 APPENDIX A: ON FUNDAMENTAL NOTIONS OF PROBABILITY
THEORY 253 APPENDIX B: ON APPLICATIONS OF COMPUTERS IN VISUAL ART 257
REFERENCES 267 INDEX 269
|
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| id | DE-604.BV012395083 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:26:50Z |
| institution | BVB |
| isbn | 3540654496 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008408270 |
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| physical | XII, 271 S. graph. Darst. |
| publishDate | 1999 |
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| spelling | Smirnov, Alexandre 1936- Verfasser (DE-588)120674769 aut Processing of multidimensional signals Alexandre Smirnov Berlin [u.a.] Springer 1999 XII, 271 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Digital signal processing Beeldverwerking gtt Signaalverwerking gtt Traitement du signal ram Mathematik Fourier transformations Image processing Digital techniques Signal processing Mathematics System analysis Digitale Sprachverarbeitung (DE-588)4233857-8 gnd rswk-swf Maschinelles Sehen (DE-588)4129594-8 gnd rswk-swf Mehrdimensionale Signalverarbeitung (DE-588)4270290-2 gnd rswk-swf Mehrdimensionale Signalverarbeitung (DE-588)4270290-2 s Maschinelles Sehen (DE-588)4129594-8 s Digitale Sprachverarbeitung (DE-588)4233857-8 s DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008408270&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Smirnov, Alexandre 1936- Processing of multidimensional signals Beeldverwerking gtt Signaalverwerking gtt Traitement du signal ram Mathematik Fourier transformations Image processing Digital techniques Signal processing Mathematics System analysis Digitale Sprachverarbeitung (DE-588)4233857-8 gnd Maschinelles Sehen (DE-588)4129594-8 gnd Mehrdimensionale Signalverarbeitung (DE-588)4270290-2 gnd |
| subject_GND | (DE-588)4233857-8 (DE-588)4129594-8 (DE-588)4270290-2 |
| title | Processing of multidimensional signals |
| title_auth | Processing of multidimensional signals |
| title_exact_search | Processing of multidimensional signals |
| title_full | Processing of multidimensional signals Alexandre Smirnov |
| title_fullStr | Processing of multidimensional signals Alexandre Smirnov |
| title_full_unstemmed | Processing of multidimensional signals Alexandre Smirnov |
| title_short | Processing of multidimensional signals |
| title_sort | processing of multidimensional signals |
| topic | Beeldverwerking gtt Signaalverwerking gtt Traitement du signal ram Mathematik Fourier transformations Image processing Digital techniques Signal processing Mathematics System analysis Digitale Sprachverarbeitung (DE-588)4233857-8 gnd Maschinelles Sehen (DE-588)4129594-8 gnd Mehrdimensionale Signalverarbeitung (DE-588)4270290-2 gnd |
| topic_facet | Beeldverwerking Signaalverwerking Traitement du signal Mathematik Fourier transformations Image processing Digital techniques Signal processing Mathematics System analysis Digitale Sprachverarbeitung Maschinelles Sehen Mehrdimensionale Signalverarbeitung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008408270&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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