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Shearlets
ISBN-13:
9780817683160
Veröffentl:
2012
Seiten:
328
Autor:
Gitta Kutyniok
Serie:
Applied and Numerical Harmonic Analysis
eBook Typ:
PDF
eBook Format:
EPUB
Kopierschutz:
1 - PDF Watermark
Sprache:
Englisch
Beschreibung:
Over 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.
Introduction.- 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.
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