Ebook: Second Generation Wavelets and Applications
- Tags: Numerical and Computational Methods in Engineering
- Year: 2005
- Publisher: Springer-Verlag London
- Edition: 1
- Language: English
- pdf
Wavelets are mathematical functions that divide data into different frequency components, and then study each component with a resolution matched to its scale.
First generation wavelets have proved useful in many applications in engineering and computer science. However they cannot be used with non-linear, data-adaptive decompositions and non-equispaced data
Second Generation Wavelets and Applications introduces "second generation wavelets" and the lifting transform that can be used to apply the traditional benefits of wavelets into a wide range of new areas in signal processing, data processing and computer graphics.
This book details the mathematical fundamentals of the lifting transform and illustrates the latest applications of the transform in signal and image processing, numerical analysis, scattering data smoothing and rendering of computer images.
Wavelets are mathematical functions that divide data into different frequency components, and then study each component with a resolution matched to its scale.
First generation wavelets have proved useful in many applications in engineering and computer science. However they cannot be used with non-linear, data-adaptive decompositions and non-equispaced data
Second Generation Wavelets and Applications introduces "second generation wavelets" and the lifting transform that can be used to apply the traditional benefits of wavelets into a wide range of new areas in signal processing, data processing and computer graphics.
This book details the mathematical fundamentals of the lifting transform and illustrates the latest applications of the transform in signal and image processing, numerical analysis, scattering data smoothing and rendering of computer images.
Wavelets are mathematical functions that divide data into different frequency components, and then study each component with a resolution matched to its scale.
First generation wavelets have proved useful in many applications in engineering and computer science. However they cannot be used with non-linear, data-adaptive decompositions and non-equispaced data
Second Generation Wavelets and Applications introduces "second generation wavelets" and the lifting transform that can be used to apply the traditional benefits of wavelets into a wide range of new areas in signal processing, data processing and computer graphics.
This book details the mathematical fundamentals of the lifting transform and illustrates the latest applications of the transform in signal and image processing, numerical analysis, scattering data smoothing and rendering of computer images.
Content:
Front Matter....Pages i-x
The Classical Wavelet Transform for Continuous-time and Discrete-time Signals....Pages 1-19
Second-generation Wavelets....Pages 21-59
Nonlinear and Adaptive Lifting....Pages 61-76
Numerical Condition....Pages 77-101
Applications of Nonlinear Lifting in Imaging....Pages 103-127
Back Matter....Pages 129-138
Wavelets are mathematical functions that divide data into different frequency components, and then study each component with a resolution matched to its scale.
First generation wavelets have proved useful in many applications in engineering and computer science. However they cannot be used with non-linear, data-adaptive decompositions and non-equispaced data
Second Generation Wavelets and Applications introduces "second generation wavelets" and the lifting transform that can be used to apply the traditional benefits of wavelets into a wide range of new areas in signal processing, data processing and computer graphics.
This book details the mathematical fundamentals of the lifting transform and illustrates the latest applications of the transform in signal and image processing, numerical analysis, scattering data smoothing and rendering of computer images.
Content:
Front Matter....Pages i-x
The Classical Wavelet Transform for Continuous-time and Discrete-time Signals....Pages 1-19
Second-generation Wavelets....Pages 21-59
Nonlinear and Adaptive Lifting....Pages 61-76
Numerical Condition....Pages 77-101
Applications of Nonlinear Lifting in Imaging....Pages 103-127
Back Matter....Pages 129-138
....