Multivariate Wavelet Frames (Record no. 426665)
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000 -LEADER | |
---|---|
fixed length control field | 04493nam a22005535i 4500 |
020 ## - INTERNATIONAL STANDARD BOOKNUMBER | |
International Standard Book Number | 9789811032059 |
-- | 978-981-10-3205-9 |
024 7# - | |
-- | 10.1007/978-981-10-3205-9 |
-- | doi |
040 ## - | |
-- | ISI Library, Kolkata |
050 #4 - | |
-- | QA403.5-404.5 |
072 #7 - | |
-- | PBKF |
-- | bicssc |
072 #7 - | |
-- | MAT034000 |
-- | bisacsh |
072 #7 - | |
-- | PBKF |
-- | thema |
082 04 - DEWEYDECIMAL CLASSIFICATION NUMBER | |
Classification number | 515.2433 |
Edition number | 23 |
100 1# - MAIN ENTRY--PERSONAL NAME | |
Personal name | Skopina, Maria. |
Relator code | aut |
-- | http://id.loc.gov/vocabulary/relators/aut |
245 10 - TITLE STATEMENT | |
Title | Multivariate Wavelet Frames |
Medium | [electronic resource] / |
Statement of responsibility, etc | by Maria Skopina, Aleksandr Krivoshein, Vladimir Protasov. |
942 ## - ADDED ENTRY ELEMENTS(KOHA) | |
Koha item type | E-BOOKS |
100 1# - MAIN ENTRY--PERSONAL NAME | |
-- | author. |
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE STATEMENTS | |
Place of production, publication, distribution, manufacture | Singapore : |
Name of producer, publisher, distributor, manufacturer | Springer Singapore : |
-- | Imprint: Springer, |
Date of production, publication, distribution, manufacture | 2016. |
300 ## - | |
-- | XIII, 248 p. 2 illus. |
-- | online resource. |
336 ## - CONTENT TYPE | |
Content Type Term | text |
Content Type Code | txt |
Source | rdacontent |
337 ## - MEDIA TYPE | |
Media Type Term | computer |
Media Type Code | c |
Source | rdamedia |
338 ## - CARRIER TYPE | |
Carrier Type Term | online resource |
Carrier Type Code | cr |
Source | rdacarrier |
347 ## - | |
-- | text file |
-- | |
-- | rda |
490 1# - | |
-- | Industrial and Applied Mathematics, |
-- | 2364-6837 |
505 0# - | |
-- | Chapter 1. Bases and Frames in Hilbert Spaces -- Chapter 2. MRA-based Wavelet Bases and Frames -- Chapter 3. Construction of Wavelet Frames -- Chapter 4. Frame-like Wavelet Expansions -- Chapter 5. Symmetric Wavelets -- Chapter 6. Smoothness of Wavelets -- Chapter 7. Special Questions. |
520 ## - | |
-- | This book presents a systematic study of multivariate wavelet frames with matrix dilation, in particular, orthogonal and bi-orthogonal bases, which are a special case of frames. Further, it provides algorithmic methods for the construction of dual and tight wavelet frames with a desirable approximation order, namely compactly supported wavelet frames, which are commonly required by engineers. It particularly focuses on methods of constructing them. Wavelet bases and frames are actively used in numerous applications such as audio and graphic signal processing, compression and transmission of information. They are especially useful in image recovery from incomplete observed data due to the redundancy of frame systems. The construction of multivariate wavelet frames, especially bases, with desirable properties remains a challenging problem as although a general scheme of construction is well known, its practical implementation in the multidimensional setting is difficult. Another important feature of wavelet is symmetry. Different kinds of wavelet symmetry are required in various applications, since they preserve linear phase properties and also allow symmetric boundary conditions in wavelet algorithms, which normally deliver better performance. The authors discuss how to provide H-symmetry, where H is an arbitrary symmetry group, for wavelet bases and frames. The book also studies so-called frame-like wavelet systems, which preserve many important properties of frames and can often be used in their place, as well as their approximation properties. The matrix method of computing the regularity of refinable function from the univariate case is extended to multivariate refinement equations with arbitrary dilation matrices. This makes it possible to find the exact values of the Hölder exponent of refinable functions and to make a very refine analysis of their moduli of continuity. |
650 #0 - | |
-- | Fourier analysis. |
650 #0 - | |
-- | Functional analysis. |
650 #0 - | |
-- | Mathematics. |
650 14 - | |
-- | Fourier Analysis. |
-- | http://scigraph.springernature.com/things/product-market-codes/M12058 |
650 24 - | |
-- | Functional Analysis. |
-- | http://scigraph.springernature.com/things/product-market-codes/M12066 |
650 24 - | |
-- | Applications of Mathematics. |
-- | http://scigraph.springernature.com/things/product-market-codes/M13003 |
650 24 - | |
-- | Signal, Image and Speech Processing. |
-- | http://scigraph.springernature.com/things/product-market-codes/T24051 |
700 1# - | |
-- | Krivoshein, Aleksandr. |
-- | author. |
-- | aut |
-- | http://id.loc.gov/vocabulary/relators/aut |
700 1# - | |
-- | Protasov, Vladimir. |
-- | author. |
-- | aut |
-- | http://id.loc.gov/vocabulary/relators/aut |
710 2# - | |
-- | SpringerLink (Online service) |
773 0# - | |
-- | Springer eBooks |
776 08 - | |
-- | Printed edition: |
-- | 9789811032042 |
776 08 - | |
-- | Printed edition: |
-- | 9789811032066 |
776 08 - | |
-- | Printed edition: |
-- | 9789811098178 |
830 #0 - | |
-- | Industrial and Applied Mathematics, |
-- | 2364-6837 |
856 40 - | |
-- | https://doi.org/10.1007/978-981-10-3205-9 |
912 ## - | |
-- | ZDB-2-SMA |
950 ## - | |
-- | Mathematics and Statistics (Springer-11649) |
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