Studies in Computational Intelligence

Geometrical Multiresolution Adaptive Transforms

Theory and Applications

Authors: Lisowska, Agnieszka

  • Presents the recent state-of-the-art of geometrical multiresolution methods leading to sparse image representations
  • Provides many open problems in the area of geometrical multiresolution methods of image approximation
  • Includes competitive applications of geometrical multiresolution methods to image compression, denoising and edge detection
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  • Due: October 20, 2016
  • ISBN 978-3-319-37714-8
  • Free shipping for individuals worldwide
Rent the ebook  
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About this book

Modern image processing techniques are based on multiresolution geometrical methods of image representation. These methods are efficient in sparse approximation of digital images. There is a wide family of functions called simply ‘X-lets’, and these methods can be divided into two groups: the adaptive and the nonadaptive. This book is devoted to the adaptive methods of image approximation, especially to multismoothlets.

Besides multismoothlets, several other new ideas are also covered. Current literature considers the black and white images with smooth horizon function as the model for sparse approximation but here, the class of blurred multihorizon is introduced, which is then used in the approximation of images with multiedges. Additionally, the semi-anisotropic model of multiedge representation, the introduction of the shift invariant multismoothlet transform and sliding multismoothlets are also covered.

Geometrical Multiresolution Adaptive Transforms should be accessible to both mathematicians and computer scientists. It is suitable as a professional reference for students, researchers and engineers, containing many open problems and will be an excellent starting point for those who are beginning new research in the area or who want to use geometrical multiresolution adaptive methods in image processing, analysis or compression.

About the authors

Agnieszka Lisowska is an assistant professor at the Institute of Computer Science, University of Silesia, where in 2006 she obtained her PhD with distinctions in the area of geometrical wavelets in Computer Science. In 2001 she completed her MSc in Mathematics at the same university. Her scientific research is concentrated on sparse representations and geometrical multiresolution methods of image processing. She invented smoothlets and multismoothlets, and the fast methods of their computations. She is the author of several journal and conference papers published among others by Springer, Elsevier or IEEE.

Reviews

From the book reviews:

“The book is divided into two parts. The first part is devoted to the theory of multismoothlets. … The second part of the book is devoted to applications of the presented transforms. … The author gives many examples presenting the notations and problems considered, so it makes the learning easier. It is suitable for students, researchers and engineers interested in multiresolution representation of images and its applications.” (Krzystof Gdawiec, zbMATH, Vol. 1297, 2014)


Table of contents (8 chapters)

Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-3-319-05011-9
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
  • ISBN 978-3-319-05010-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: October 20, 2016
  • ISBN 978-3-319-37714-8
  • Free shipping for individuals worldwide
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Geometrical Multiresolution Adaptive Transforms
Book Subtitle
Theory and Applications
Authors
Series Title
Studies in Computational Intelligence
Series Volume
545
Copyright
2014
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-05011-9
DOI
10.1007/978-3-319-05011-9
Hardcover ISBN
978-3-319-05010-2
Softcover ISBN
978-3-319-37714-8
Series ISSN
1860-949X
Edition Number
1
Number of Pages
XII, 107
Number of Illustrations and Tables
44 b/w illustrations, 21 illustrations in colour
Topics