Framelets and Wavelets
Han, Bin.
Framelets and Wavelets Algorithms, Analysis, and Applications / [electronic resource] : by Bin Han. - 1st ed. 2017. - XXXIII, 724 p. 73 illus. online resource. - Applied and Numerical Harmonic Analysis, 2296-5009 . - Applied and Numerical Harmonic Analysis, .
Marking a distinct departure from the perspectives of frame theory and discrete transforms, this book provides a comprehensive mathematical and algorithmic introduction to wavelet theory. As such, it can be used as either a textbook or reference guide. As a textbook for graduate mathematics students and beginning researchers, it offers detailed information on the basic theory of framelets and wavelets, complemented by self-contained elementary proofs, illustrative examples/figures, and supplementary exercises. Further, as an advanced reference guide for experienced researchers and practitioners in mathematics, physics, and engineering, the book addresses in detail a wide range of basic and advanced topics (such as multiwavelets/multiframelets in Sobolev spaces and directional framelets) in wavelet theory, together with systematic mathematical analysis, concrete algorithms, and recent developments in and applications of framelets and wavelets. Lastly, the book can also be used to teach on or study selected special topics in approximation theory, Fourier analysis, applied harmonic analysis, functional analysis, and wavelet-based signal/image processing.
9783319685304
10.1007/978-3-319-68530-4 doi
Approximation theory.
Fourier analysis.
Applied mathematics.
Engineering mathematics.
Optical data processing.
Computer-aided engineering.
Approximations and Expansions.
Fourier Analysis.
Applications of Mathematics.
Image Processing and Computer Vision.
Computer-Aided Engineering (CAD, CAE) and Design.
QA401-425
511.4
Framelets and Wavelets Algorithms, Analysis, and Applications / [electronic resource] : by Bin Han. - 1st ed. 2017. - XXXIII, 724 p. 73 illus. online resource. - Applied and Numerical Harmonic Analysis, 2296-5009 . - Applied and Numerical Harmonic Analysis, .
Marking a distinct departure from the perspectives of frame theory and discrete transforms, this book provides a comprehensive mathematical and algorithmic introduction to wavelet theory. As such, it can be used as either a textbook or reference guide. As a textbook for graduate mathematics students and beginning researchers, it offers detailed information on the basic theory of framelets and wavelets, complemented by self-contained elementary proofs, illustrative examples/figures, and supplementary exercises. Further, as an advanced reference guide for experienced researchers and practitioners in mathematics, physics, and engineering, the book addresses in detail a wide range of basic and advanced topics (such as multiwavelets/multiframelets in Sobolev spaces and directional framelets) in wavelet theory, together with systematic mathematical analysis, concrete algorithms, and recent developments in and applications of framelets and wavelets. Lastly, the book can also be used to teach on or study selected special topics in approximation theory, Fourier analysis, applied harmonic analysis, functional analysis, and wavelet-based signal/image processing.
9783319685304
10.1007/978-3-319-68530-4 doi
Approximation theory.
Fourier analysis.
Applied mathematics.
Engineering mathematics.
Optical data processing.
Computer-aided engineering.
Approximations and Expansions.
Fourier Analysis.
Applications of Mathematics.
Image Processing and Computer Vision.
Computer-Aided Engineering (CAD, CAE) and Design.
QA401-425
511.4