From Fourier analysis to wavelets:
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| Main Authors: | , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cham
Springer
[2015]
|
| Series: | IMPA Monographs
3 |
| Subjects: | |
| Online Access: | BTU01 FRO01 TUM01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Physical Description: | 1 Online Ressource (XIII, 210 Seiten, 77 illus) |
| ISBN: | 9783319220758 |
| DOI: | 10.1007/978-3-319-22075-8 |
Staff View
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Record in the Search Index
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| adam_text | FROM FOURIER ANALYSIS TO WAVELETS
/ GOMES, JONAS
: 2015
TABLE OF CONTENTS / INHALTSVERZEICHNIS
INTRODUCTION
FUNCTION REPRESENTATION AND RECONSTRUCTION
THE FOURIER TRANSFORM
WINDOWED FOURIER TRANSFORM
THE WAVELET TRANSFORM
MULTIRESOLUTION REPRESENTATION
THE FAST WAVELET TRANSFORM
FILTER BANKS AND MULTIRESOLUTION
CONSTRUCTING WAVELETS
WAVELET DESIGN
ORTHOGONAL WAVELETS
BIORTHOGONAL WAVELETS
DIRECTIONS AND GUIDELINES
APPENDICES
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
FROM FOURIER ANALYSIS TO WAVELETS
/ GOMES, JONAS
: 2015
ABSTRACT / INHALTSTEXT
THIS TEXT INTRODUCES THE BASIC CONCEPTS OF FUNCTION SPACES AND
OPERATORS, BOTH FROM THE CONTINUOUS AND DISCRETE VIEWPOINTS. FOURIER
AND WINDOW FOURIER TRANSFORMS ARE INTRODUCED AND USED AS A GUIDE TO
ARRIVE AT THE CONCEPT OF WAVELET TRANSFORM. THE FUNDAMENTAL ASPECTS OF
MULTIRESOLUTION REPRESENTATION, AND ITS IMPORTANCE TO FUNCTION
DISCRETIZATION AND TO THE CONSTRUCTION OF WAVELETS IS ALSO DISCUSSED.
EMPHASIS IS GIVEN ON IDEAS AND INTUITION, AVOIDING THE HEAVY
COMPUTATIONS WHICH ARE USUALLY INVOLVED IN THE STUDY OF WAVELETS.
READERS SHOULD HAVE A BASIC KNOWLEDGE OF LINEAR ALGEBRA, CALCULUS, AND
SOME FAMILIARITY WITH COMPLEX ANALYSIS. BASIC KNOWLEDGE OF SIGNAL AND
IMAGE PROCESSING IS DESIRABLE. THIS TEXT ORIGINATED FROM A SET OF NOTES
IN PORTUGUESE THAT THE AUTHORS WROTE FOR A WAVELET COURSE ON THE
BRAZILIAN MATHEMATICAL COLLOQUIUM IN 1997 AT IMPA, RIO DE JANEIRO
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Gomes, Jonas Velho, Luiz |
| author_GND | (DE-588)115492720 (DE-588)115492755 |
| author_facet | Gomes, Jonas Velho, Luiz |
| author_role | aut aut |
| author_sort | Gomes, Jonas |
| author_variant | j g jg l v lv |
| building | Verbundindex |
| bvnumber | BV043209380 |
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| dewey-full | 515.2433 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.2433 |
| dewey-search | 515.2433 |
| dewey-sort | 3515.2433 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-319-22075-8 |
| format | Electronic eBook |
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| isbn | 9783319220758 |
| language | English |
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| spelling | Gomes, Jonas Verfasser (DE-588)115492720 aut From Fourier analysis to wavelets Jonas Gomes, Luiz Velho Cham Springer [2015] © 2015 1 Online Ressource (XIII, 210 Seiten, 77 illus) txt rdacontent c rdamedia cr rdacarrier IMPA monographs volume 3 Mathematics Harmonic analysis Fourier analysis Fourier Analysis Abstract Harmonic Analysis Signal, Image and Speech Processing Mathematik Harmonische Analyse (DE-588)4023453-8 gnd rswk-swf Wavelet (DE-588)4215427-3 gnd rswk-swf Harmonische Analyse (DE-588)4023453-8 s Wavelet (DE-588)4215427-3 s 1\p DE-604 Velho, Luiz Verfasser (DE-588)115492755 aut Erscheint auch als Druckausgabe 978-3-319-22074-1 IMPA Monographs 3 (DE-604)BV042491900 3 https://doi.org/10.1007/978-3-319-22075-8 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028632541&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028632541&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Gomes, Jonas Velho, Luiz From Fourier analysis to wavelets IMPA Monographs Mathematics Harmonic analysis Fourier analysis Fourier Analysis Abstract Harmonic Analysis Signal, Image and Speech Processing Mathematik Harmonische Analyse (DE-588)4023453-8 gnd Wavelet (DE-588)4215427-3 gnd |
| subject_GND | (DE-588)4023453-8 (DE-588)4215427-3 |
| title | From Fourier analysis to wavelets |
| title_auth | From Fourier analysis to wavelets |
| title_exact_search | From Fourier analysis to wavelets |
| title_full | From Fourier analysis to wavelets Jonas Gomes, Luiz Velho |
| title_fullStr | From Fourier analysis to wavelets Jonas Gomes, Luiz Velho |
| title_full_unstemmed | From Fourier analysis to wavelets Jonas Gomes, Luiz Velho |
| title_short | From Fourier analysis to wavelets |
| title_sort | from fourier analysis to wavelets |
| topic | Mathematics Harmonic analysis Fourier analysis Fourier Analysis Abstract Harmonic Analysis Signal, Image and Speech Processing Mathematik Harmonische Analyse (DE-588)4023453-8 gnd Wavelet (DE-588)4215427-3 gnd |
| topic_facet | Mathematics Harmonic analysis Fourier analysis Fourier Analysis Abstract Harmonic Analysis Signal, Image and Speech Processing Mathematik Harmonische Analyse Wavelet |
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