Different perspectives on wavelets : American Mathematical Society short course, January 11-12, 1993, San Antonio, Texas / Ingrid Daubechies, editor.

Format:

Book

Contributor:

Daubechies, Ingrid, editor.

American Mathematical Society. Short Course, organizer of meeting.

Series:

Proceedings of symposia in applied mathematics. AMS short course lecture notes ; Volume 47.

Proceedings of Symposia in Applied Mathematics : AMS Short Course Lecture Notes, 0160-7634 ; Volume 47

Language:

English

Subjects (All):

Wavelets (Mathematics)--Congresses.

Wavelets (Mathematics).

Physical Description:

1 online resource (220 p.)

Edition:

1st ed.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, 1993.

Language Note:

English

Summary:

The wavelet transform can be seen as a synthesis of ideas that have emerged since the 1960s in mathematics, physics, and electrical engineering. The basic idea is to use a family of "building blocks" to represent in an efficient way the object at hand, be it a function, an operator, a signal, or an image. The building blocks themselves come in different "sizes" which can describe different features with different resolutions. The papers in this book attempt to give some theoretical and technical shape to this intuitive picture of wavelets and their uses. The papers collected here were prepared for an AMS Short Course on Wavelets and Applications, held at the Joint Mathematics Meetings in San Antonio in January 1993. Here readers will find general background on wavelets as well as more detailed views of specific techniques and applications. With contributions by some of the top experts in the field, this book provides an excellent introduction to this important and growing area of research.

Contents:

""Table of Contents""; ""Preface""; ""Wavelet Transforms and Orthonormal Wavelet Bases""; ""Wavelets and Operators""; ""Projection Operators in Multiresolution Analysis""; ""Wavelets and Differential Operators""; ""Wavelets and Fast Numerical Algorithms""; ""Wavelets and Adapted Waveform Analysis. A Toolkit for Signal Processing and Numerical Analysis""; ""Best-adapted Wavelet Packet Bases""; ""Nonlinear Wavelet Methods for Recovery of Signals, Densities, and Spectra from Indirect and Noisy Data""

Notes:

"Lecture notes prepared for the American Mathematical Society short course, Wavelets and Applications, held in San Antonio, Texas January 11-12, 1993"--T.p. verso.

Includes bibliographical references at the end of each chapters.

Description based on print version record.

Description based on publisher supplied metadata and other sources.

ISBN:

0-8218-9262-2

OCLC:

922979983