Overview
This text introduces the basic concepts of function spaces and operators, both from the continuous and discrete viewpoints. Fourier and Window Fourier Transforms are introduced and used as a guide to arrive at the concept of Wavelet transform. The fundamental aspects of multiresolution representation, and its importance to function discretization and to the construction of wavelets is also discussed. Emphasis is given on ideas and intuition, avoiding the heavy computations which are usually involved in the study of wavelets. Readers should have a basic knowledge of linear algebra, calculus, and some familiarity with complex analysis. Basic knowledge of signal and image processing is desirable. This text originated from a set of notes in Portuguese that the authors wrote for a wavelet course on the Brazilian Mathematical Colloquium in 1997 at IMPA, Rio de Janeiro.
Full Product Details
Author: Jonas Gomes ,
Luiz Velho
Publisher: Springer International Publishing AG
Imprint: Springer International Publishing AG
Edition: Softcover reprint of the original 1st ed. 2015
Volume: 3
Dimensions:
Width: 15.50cm
, Height: 1.20cm
, Length: 23.50cm
Weight: 0.454kg
ISBN: 9783319370224
ISBN 10: 3319370227
Pages: 210
Publication Date: 22 October 2016
Audience:
Professional and scholarly
,
Professional & Vocational
Format: Paperback
Publisher's Status: Active
Availability: Manufactured on demand
We will order this item for you from a manufactured on demand supplier.
Reviews
“The authors present a short textbook about the fundamentals of Fourier analysis (such as Fourier series, Fourier transform, and windowed Fourier transform) and wavelet theory (such as continuous/discrete wavelet transforms, multiresolution analysis, decomposition/reconstruction algorithms, and construction of orthogonal/biorthogonal wavelets) with emphasis on the underlying ideas. … This textbook is mainly written for students in computer science, physics, and engineering.” (Manfred Tasche, zbMATH, Vol. 1325.42001, 2016)
The authors present a short textbook about the fundamentals of Fourier analysis (such as Fourier series, Fourier transform, and windowed Fourier transform) and wavelet theory (such as continuous/discrete wavelet transforms, multiresolution analysis, decomposition/reconstruction algorithms, and construction of orthogonal/biorthogonal wavelets) with emphasis on the underlying ideas. This textbook is mainly written for students in computer science, physics, and engineering. (Manfred Tasche, zbMATH, Vol. 1325.42001, 2016)
The authors present a short textbook about the fundamentals of Fourier analysis (such as Fourier series, Fourier transform, and windowed Fourier transform) and wavelet theory (such as continuous/discrete wavelet transforms, multiresolution analysis, decomposition/reconstruction algorithms, and construction of orthogonal/biorthogonal wavelets) with emphasis on the underlying ideas. ... This textbook is mainly written for students in computer science, physics, and engineering. (Manfred Tasche, zbMATH, Vol. 1325.42001, 2016)
