Discrete Wavelet Transformations An Elementary Approach with Applications

ISBN-10: 047018311X
ISBN-13: 9780470183113
Edition: 2008
List price: $157.00
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Description: This book takes an "applications first" approach, allowing students to learn about them immediately. Readers gain an appreciation and mastery of the discrete wavelet transform and learn of its value in problems such as data compression, signal  More...

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Book details

List price: $157.00
Copyright year: 2008
Publisher: John Wiley & Sons, Incorporated
Publication date: 1/18/2008
Binding: Hardcover
Pages: 564
Size: 6.50" wide x 9.50" long x 1.25" tall
Weight: 2.046

This book takes an "applications first" approach, allowing students to learn about them immediately. Readers gain an appreciation and mastery of the discrete wavelet transform and learn of its value in problems such as data compression, signal de-noising, and image edge detection. Subjects covered include digital images, quantitative/qualitative measures, and encoding; introduction to the Fourier Series; and detailed development of pseudocode.

Preface
Acknowledgments
Introduction: Why Wavelets?
Vectors and Matrices
Vectors, Inner Products, and Norms
Problems
Computer Lab
Basic Matrix Theory
Problems
Computer Lab
Block Matrix Arithmetic
Problems
Computer Lab
An Introduction to Digital Images
The Basics of Grayscale Digital Images
Problems
Computer Labs
Color Images and Color Spaces
Problems
Computer Labs
Qualitative and Quantitative Measures
Problems
Computer Labs
Huffman Encoding
Problems
Computer Labs
Complex Numbers and Fourier Series
The Complex Plane and Arithmetic
Problems
Computer Lab
Complex Exponential Functions
Problems
Fourier Series
Problems
Computer Lab
Convolution and Filters
Convolution
Problems
Computer Lab
Filters
Problems
Computer Lab
Convolution as a Matrix Product
Problems
The Haar Wavelet Transformation
Constructing the Haar Wavelet Transformation
Problems
Computer Labs
Iterating the Process
Problems
Computer Labs
The Two-Dimensional Haar Wavelet Transformation
Problems
Computer Labs
Applications: Image Compression and Edge Detection
Problems
Computer Labs
Daubechies Wavelet Transformations
Daubechies Filters of Length 4 and 6
Problems
Computer Labs
Daubechies Filters of Even Length
Problems
Computer Labs
Algorithms for Daubechies Wavelet Transformations
Problems
Computer Labs
Orthogonality and Fourier Series
Fourier Series and Lowpass Filters
Problems
Building G([omega]) from H([omega])
Problems
Coiflet Filters
Problems
Computer Labs
Wavelet Shrinkage: An Application to Denoising
An Overview of Wavelet Shrinkage
Problems
Computer Labs
VisuShrink
Problems
Computer Labs
SureShrink
Problems
Computer Labs
Biorthogonal Filters
Constructing Biorthogonal Filters
Problems
Biorthogonal Spline Filters
Problems
Computer Lab
The Cohen-Daubechies-Feauveau 9/7 Filter
Problems
Computer Lab
Computing Biorthogonal Wavelet Transformations
Computing the Biorthogonal Wavelet Transformation
Problems
Computer Labs
Computing the Inverse Biorthogonal Wavelet Transformation
Problems
Computer Labs
Symmetry and Boundary Effects
Problems
Computer Labs
The JPEG2000 Image Compression Standard
An Overview of JPEG
Problems
Computer Lab
The Basic JPEG2000 Algorithm
Problems
Lifting and Lossless Compression
Problems
Computer Lab
Examples
Computer Lab
Basic Statistics
Descriptive Statistics
Problems
Sample Spaces, Probability, and Random Variables
Problems
Continuous Distributions
Problems
Expectation
Problems
Two Special Distributions
Problems
References
Index

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