Logo - springer
Slogan - springer

Birkhäuser - Birkhäuser Mathematics | Shearlets - Multiscale Analysis for Multivariate Data


Multiscale Analysis for Multivariate Data

Kutyniok, Gitta, labate, demetrio (Eds.)

2012, XIX, 328p. 50 illus., 19 illus. in color.

A product of Birkhäuser Basel
Available Formats:

Springer eBooks may be purchased by end-customers only and are sold without copy protection (DRM free). Instead, all eBooks include personalized watermarks. This means you can read the Springer eBooks across numerous devices such as Laptops, eReaders, and tablets.

You can pay for Springer eBooks with Visa, Mastercard, American Express or Paypal.

After the purchase you can directly download the eBook file or read it online in our Springer eBook Reader. Furthermore your eBook will be stored in your MySpringer account. So you can always re-download your eBooks.


(net) price for USA

ISBN 978-0-8176-8316-0

digitally watermarked, no DRM

Included Format: PDF

download immediately after purchase

learn more about Springer eBooks

add to marked items


Hardcover version

You can pay for Springer Books with Visa, Mastercard, American Express or Paypal.

Standard shipping is free of charge for individual customers.


(net) price for USA

ISBN 978-0-8176-8315-3

free shipping for individuals worldwide

usually dispatched within 3 to 5 business days

add to marked items

  • The first book published on the topic of shearlets or geometric multiscale analysis
  • Unified notation used throughout
  • Comprehensive presentation of shearlet theory and applications
  • Valuable for an interdisciplinary audience of graduate students and researchers in applied mathematics, computer science, and engineering

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. 

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.

Content Level » Graduate

Keywords » anisotropic - data representation - directional multiscale analysis - image processing - multivariate data - shearlets - sparsity - wavelets

Related subjects » Birkhäuser Computer Science - Birkhäuser Engineering - Birkhäuser Mathematics

Table of contents / Preface / Sample pages 

Popular Content within this publication 



Read this Book on Springerlink

Services for this book

New Book Alert

Get alerted on new Springer publications in the subject area of Fourier Analysis.