Two-dimensional wavelets and their relatives / Jean-Pierre Antoine [and others].

Format:

Book

Author/Creator:

Antoine, Jean Pierre, author.

Language:

English

Subjects (All):

Wavelets (Mathematics).

Physical Description:

1 online resource (xviii, 458 pages) : digital, PDF file(s).

Other Title:

Two-Dimensional Wavelets & their Relatives

Place of Publication:

Cambridge : Cambridge University Press, 2004.

Language Note:

English

Summary:

Two-dimensional wavelets offer a number of advantages over discrete wavelet transforms when processing rapidly varying functions and signals. In particular, they offer benefits for real-time applications such as medical imaging, fluid dynamics, shape recognition, image enhancement and target tracking. This book introduces the reader to 2-D wavelets via 1-D continuous wavelet transforms, and includes a long list of useful applications. The authors then describe in detail the underlying mathematics before moving on to more advanced topics such as matrix geometry of wavelet analysis, three-dimensional wavelets and wavelets on a sphere. Throughout the book, practical applications and illustrative examples are used extensively, ensuring the book's value to engineers, physicists and mathematicians alike.

Contents:

Warm-up: the 1-D continuous wavelet transform

The 2-D continuous wavelet transform

Some 2-D wavelets and their performance

Applications of the 2-D CWT. I: image processing

Applications of the 2-D CWT. II: physical applications

Matrix geometry of wavelet analysis I

Matrix geometry of wavelet analysis II

Minimal uncertainty and wigner transforms

Higher-dimensional wavelets

Spatio-temporal wavelets and motion estimation

Beyond wavelets.

Notes:

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Includes bibliographical references (p. 431-453) and index.

ISBN:

1-107-15768-4

1-280-70253-2

9786610702534

0-511-23041-9

0-511-23118-0

0-511-22878-3

0-511-33151-7

0-511-54339-5

0-511-22962-3

OCLC:

171139559