000 03936nam a22005175i 4500
001 978-0-8176-8316-0
003 DE-He213
005 20140220083228.0
007 cr nn 008mamaa
008 120306s2012 xxu| s |||| 0|eng d
020 _a9780817683160
_9978-0-8176-8316-0
024 7 _a10.1007/978-0-8176-8316-0
_2doi
050 4 _aQA403.5-404.5
072 7 _aPBKF
_2bicssc
072 7 _aMAT034000
_2bisacsh
082 0 4 _a515.2433
_223
100 1 _aKutyniok, Gitta.
_eeditor.
245 1 0 _aShearlets
_h[electronic resource] :
_bMultiscale Analysis for Multivariate Data /
_cedited by Gitta Kutyniok, Demetrio Labate.
264 1 _aBoston :
_bBirkhäuser Boston,
_c2012.
300 _aXIX, 328p. 50 illus., 19 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aApplied and Numerical Harmonic Analysis
505 0 _aIntroduction -- Shearlets and Microlocal Analysis -- Analysis and Identification of Multidimensional Singularities using the Continuous Shearlet Transform -- Multivariate Shearlet Transform, Shearlet Coorbit Spaces and their Structural Properties -- Shearlets and Optimally Sparse Approximations -- Shearlet Multiresolution and Multiple Refinement -- Digital Shearlet Transforms -- Imaging Applications. .
520 _aOver the last 20 years, multiscale methods and wavelets have revolutionized the field of applied mathematics by providing efficient means for encoding isotropic phenomena. Directional multiscale systems, particularly shearlets, are currently having the same dramatic impact on the encoding of multivariate signals, which are usually dominated by anisotropic features. Since its introduction about six years ago, the theory of shearlets has rapidly developed and gained wide recognition as the superior approach for multiscale analysis of multivariate signals, providing a truly unified treatment of both the continuum and the digital setting. By now, this research field has reached full maturity, with deep mathematical results, efficient numerical methods, and a variety of high-impact applications.  Edited by the topic's two main pioneers, this volume systematically surveys the theory and applications of shearlets. Following a general survey of the subject, carefully selected contributions explore the current state of the field in greater detail. Specific areas covered include:   * analysis of anisotropic features; * sparse approximations of multivariate data; * shearlet smoothness spaces; * numerical implementations; * applications to image processing.   Shearlets is aimed at graduate students and researchers in the areas of applied mathematics, computer science, engineering, and any other field dealing with the development and applications of highly efficient methodologies for processing multivariate data. As the first monograph in the literature to survey shearlets, this volume offers both a unique state-of-the-art resource for scientists dealing with advanced multiscale methods and a supplemental textbook for graduate courses in applied harmonic analysis.
650 0 _aMathematics.
650 0 _aComputer science.
650 0 _aFourier analysis.
650 0 _aNumerical analysis.
650 1 4 _aMathematics.
650 2 4 _aFourier Analysis.
650 2 4 _aSignal, Image and Speech Processing.
650 2 4 _aNumerical Analysis.
650 2 4 _aData Storage Representation.
650 2 4 _aApplications of Mathematics.
700 1 _aLabate, Demetrio.
_eeditor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780817683153
830 0 _aApplied and Numerical Harmonic Analysis
856 4 0 _uhttp://dx.doi.org/10.1007/978-0-8176-8316-0
912 _aZDB-2-SMA
999 _c100242
_d100242