Discrete Fourier analysis and wavelets: applications to signal and image processing
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Hoboken, NJ
Wiley
2009
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Includes bibliographical references and index |
| Physical Description: | XV, 337 S. Ill., graph. Darst. |
| ISBN: | 9780470294666 |
Staff View
MARC
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| 245 | 1 | 0 | |a Discrete Fourier analysis and wavelets |b applications to signal and image processing |c S. Allen Broughton ; Kurt Bryan |
| 264 | 1 | |a Hoboken, NJ |b Wiley |c 2009 | |
| 300 | |a XV, 337 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
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| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Includes bibliographical references and index | ||
| 650 | 4 | |a Mathematik | |
| 650 | 4 | |a Fourier analysis | |
| 650 | 4 | |a Wavelets (Mathematics) | |
| 650 | 4 | |a Signal processing |x Mathematics | |
| 650 | 4 | |a Image processing |x Mathematics | |
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Record in the Search Index
| _version_ | 1804138313998663680 |
|---|---|
| adam_text | CONTENTS
PREFACE
Xi
ACKNOWLEDGMENTS
xv
1
VECTOR SPACES, SIGNALS, AND IMAGES
1
1.1 Overview
/ 1
1.2
Some Common Image Processing Problems
/ 1
1.3
Signals and Images
/ 3
1.4
Vector Space Models for Signals and Images
/ 9
1.5
Basic Waveforms
—
The Analog Case
/ 17
1.6
Sampling and Aliasing
/ 21
1.7
Basic Waveforms
—
The Discrete Case
/ 26
1.8
Inner Product Spaces and Orthogonality
/ 29
1.9
Signal and Image Digitization
/41
1.10
Infinite-dimensional Inner Product Spaces
/ 46
1.11
Matlab
Project
/ 56
Exercises
/61
2
THE DISCRETE FOURIER TRANSFORM
71
2.1
Overview
/71
2.2
The Time Domain and Frequency Domain
/ 72
2.3
A Motivational Example
/ 73
vii
VÍM
CONTENTS
2.4
The One-dimensional DFT
/ 78
2.5
Properties of the DFT
/ 85
2.6
The Fast Fourier Transform
/ 90
2.7
The Two-dimensional DFT
/ 93
2.8
Matlab
Project
/ 97
Exercises
/ 101
3
THE DISCRETE COSINE TRANSFORM
105
3.1
Motivation for the DCT—Compression
/ 105
3.2
Other Compression Issues
/ 106
3.3
Initial Examples
—
Thresholding
/ 107
3.4
The Discrete Cosine Transform
/113
3.5
Properties of the DCT
/117
3.6
The Two-dimensional DCT
/ 120
3.7
Block Transforms
/ 122
3.8
JPEG Compression
/ 124
3.9
Matlab
Project
/ 132
Exercises
/134
4
CONVOLUTION AND FILTERING
138
4.1
Overview
/ 138
4.2
One-dimensional Convolution
/ 138
4.3
Convolution Theorem and Filtering
/145
4.4
2D Convolution
—
Filtering Images
/ 150
4.5
Infinite and Bi-infinite Signal Models
/ 156
4.6
Matlab
Project
/171
Exercises
/ 174
5
WINDOWING AND LOCALIZATION
182
5.1
Overview: Nonlocality of the DFT
/ 182
5.2
Localization via Windowing
/184
5.3
Matlab
Project
/ 195
Exercises
/197
6
FILTER BANKS
201
6.1
Overview
/ 201
6.2
The
Haar
Filter Bank
/ 202
6.3
The General One-stage Two-channel Filter Bank
/210
CONTENTS
ІХ
6.4
Multistage Filter Banks
/214
6.5
Filter
Banks for Finite Length Signals
/218
6.6
The 2D Discrete Wavelet Transform and JPEG
2000 / 231
6.7
Filter Design
/ 239
6.8
Matlab
Project
/ 251
6.9
Alternate
Matlab
Project
/ 255
Exercises
/ 258
7
WAVELETS
267
7.1
Overview
/ 267
7.2
The
Haar
Basis
/ 269
7.3
Haar
Wavelets versus the
Haar
Filter Bank
/ 282
7.4
Orthogonal Wavelets
/ 292
7.5 Biorthogonal
Wavelets
/ 314
7.6
Matlab
Project
/318
Exercises
/321
REFERENCES
327
SOLUTIONS
329
INDEX
335
|
| adam_txt |
CONTENTS
PREFACE
Xi
ACKNOWLEDGMENTS
xv
1
VECTOR SPACES, SIGNALS, AND IMAGES
1
1.1 Overview
/ 1
1.2
Some Common Image Processing Problems
/ 1
1.3
Signals and Images
/ 3
1.4
Vector Space Models for Signals and Images
/ 9
1.5
Basic Waveforms
—
The Analog Case
/ 17
1.6
Sampling and Aliasing
/ 21
1.7
Basic Waveforms
—
The Discrete Case
/ 26
1.8
Inner Product Spaces and Orthogonality
/ 29
1.9
Signal and Image Digitization
/41
1.10
Infinite-dimensional Inner Product Spaces
/ 46
1.11
Matlab
Project
/ 56
Exercises
/61
2
THE DISCRETE FOURIER TRANSFORM
71
2.1
Overview
/71
2.2
The Time Domain and Frequency Domain
/ 72
2.3
A Motivational Example
/ 73
vii
VÍM
CONTENTS
2.4
The One-dimensional DFT
/ 78
2.5
Properties of the DFT
/ 85
2.6
The Fast Fourier Transform
/ 90
2.7
The Two-dimensional DFT
/ 93
2.8
Matlab
Project
/ 97
Exercises
/ 101
3
THE DISCRETE COSINE TRANSFORM
105
3.1
Motivation for the DCT—Compression
/ 105
3.2
Other Compression Issues
/ 106
3.3
Initial Examples
—
Thresholding
/ 107
3.4
The Discrete Cosine Transform
/113
3.5
Properties of the DCT
/117
3.6
The Two-dimensional DCT
/ 120
3.7
Block Transforms
/ 122
3.8
JPEG Compression
/ 124
3.9
Matlab
Project
/ 132
Exercises
/134
4
CONVOLUTION AND FILTERING
138
4.1
Overview
/ 138
4.2
One-dimensional Convolution
/ 138
4.3
Convolution Theorem and Filtering
/145
4.4
2D Convolution
—
Filtering Images
/ 150
4.5
Infinite and Bi-infinite Signal Models
/ 156
4.6
Matlab
Project
/171
Exercises
/ 174
5
WINDOWING AND LOCALIZATION
182
5.1
Overview: Nonlocality of the DFT
/ 182
5.2
Localization via Windowing
/184
5.3
Matlab
Project
/ 195
Exercises
/197
6
FILTER BANKS
201
6.1
Overview
/ 201
6.2
The
Haar
Filter Bank
/ 202
6.3
The General One-stage Two-channel Filter Bank
/210
CONTENTS
ІХ
6.4
Multistage Filter Banks
/214
6.5
Filter
Banks for Finite Length Signals
/218
6.6
The 2D Discrete Wavelet Transform and JPEG
2000 / 231
6.7
Filter Design
/ 239
6.8
Matlab
Project
/ 251
6.9
Alternate
Matlab
Project
/ 255
Exercises
/ 258
7
WAVELETS
267
7.1
Overview
/ 267
7.2
The
Haar
Basis
/ 269
7.3
Haar
Wavelets versus the
Haar
Filter Bank
/ 282
7.4
Orthogonal Wavelets
/ 292
7.5 Biorthogonal
Wavelets
/ 314
7.6
Matlab
Project
/318
Exercises
/321
REFERENCES
327
SOLUTIONS
329
INDEX
335 |
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| discipline | Mathematik |
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| id | DE-604.BV035154210 |
| illustrated | Illustrated |
| index_date | 2024-07-02T22:48:00Z |
| indexdate | 2024-07-09T21:26:13Z |
| institution | BVB |
| isbn | 9780470294666 |
| language | English |
| lccn | 2008011012 |
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| physical | XV, 337 S. Ill., graph. Darst. |
| publishDate | 2009 |
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| spelling | Broughton, S. Allen 1951- Verfasser (DE-588)136877478 aut Discrete Fourier analysis and wavelets applications to signal and image processing S. Allen Broughton ; Kurt Bryan Hoboken, NJ Wiley 2009 XV, 337 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Includes bibliographical references and index Mathematik Fourier analysis Wavelets (Mathematics) Signal processing Mathematics Image processing Mathematics Wavelet (DE-588)4215427-3 gnd rswk-swf Harmonische Analyse (DE-588)4023453-8 gnd rswk-swf Signalverarbeitung (DE-588)4054947-1 gnd rswk-swf Bildverarbeitung (DE-588)4006684-8 gnd rswk-swf Harmonische Analyse (DE-588)4023453-8 s Wavelet (DE-588)4215427-3 s Signalverarbeitung (DE-588)4054947-1 s Bildverarbeitung (DE-588)4006684-8 s DE-604 Bryan, Kurt 1962- Verfasser (DE-588)136877516 aut Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016961416&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Broughton, S. Allen 1951- Bryan, Kurt 1962- Discrete Fourier analysis and wavelets applications to signal and image processing Mathematik Fourier analysis Wavelets (Mathematics) Signal processing Mathematics Image processing Mathematics Wavelet (DE-588)4215427-3 gnd Harmonische Analyse (DE-588)4023453-8 gnd Signalverarbeitung (DE-588)4054947-1 gnd Bildverarbeitung (DE-588)4006684-8 gnd |
| subject_GND | (DE-588)4215427-3 (DE-588)4023453-8 (DE-588)4054947-1 (DE-588)4006684-8 |
| title | Discrete Fourier analysis and wavelets applications to signal and image processing |
| title_auth | Discrete Fourier analysis and wavelets applications to signal and image processing |
| title_exact_search | Discrete Fourier analysis and wavelets applications to signal and image processing |
| title_exact_search_txtP | Discrete Fourier analysis and wavelets applications to signal and image processing |
| title_full | Discrete Fourier analysis and wavelets applications to signal and image processing S. Allen Broughton ; Kurt Bryan |
| title_fullStr | Discrete Fourier analysis and wavelets applications to signal and image processing S. Allen Broughton ; Kurt Bryan |
| title_full_unstemmed | Discrete Fourier analysis and wavelets applications to signal and image processing S. Allen Broughton ; Kurt Bryan |
| title_short | Discrete Fourier analysis and wavelets |
| title_sort | discrete fourier analysis and wavelets applications to signal and image processing |
| title_sub | applications to signal and image processing |
| topic | Mathematik Fourier analysis Wavelets (Mathematics) Signal processing Mathematics Image processing Mathematics Wavelet (DE-588)4215427-3 gnd Harmonische Analyse (DE-588)4023453-8 gnd Signalverarbeitung (DE-588)4054947-1 gnd Bildverarbeitung (DE-588)4006684-8 gnd |
| topic_facet | Mathematik Fourier analysis Wavelets (Mathematics) Signal processing Mathematics Image processing Mathematics Wavelet Harmonische Analyse Signalverarbeitung Bildverarbeitung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016961416&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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