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＜電子ブック＞
Applied Mathematics : Data Compression, Spectral Methods, Fourier Analysis, Wavelets, and Applications / by Charles K. Chui, Qingtang Jiang
(Mathematics Textbooks for Science and Engineering. ISSN:2213087X ; 2)

版	1st ed. 2013.
出版者	(Paris : Atlantis Press : Imprint: Atlantis Press)
出版年	2013
大きさ	XXII, 551 p. 63 illus., 36 illus. in color : online resource
著者標目	*Chui, Charles K author Jiang, Qingtang author SpringerLink (Online service)
件　名	LCSH:Mathematics LCSH:Computer science—Mathematics LCSH:Statistics  LCSH:Image processing—Digital techniques LCSH:Computer vision LCSH:Engineering design FREE:Applications of Mathematics FREE:Mathematical Applications in Computer Science FREE:Statistics FREE:Computer Imaging, Vision, Pattern Recognition and Graphics FREE:Engineering Design
一般注記	Linear Spaces -- Linerar Analysis -- Spectral Methods and Applications -- Frequency-Domain Methods -- Data Compression -- Fourier Series -- Fourier Time-Frequency Methods -- Wavelet Transform and Filter Banks -- Compactly Supported Wavelets -- Wavelet Analysis This textbook, apart from introducing the basic aspects of applied mathematics, focuses on recent topics such as information data manipulation, information coding, data approximation, data dimensionality reduction, data compression, time-frequency and time scale bases, image manipulation, and image noise removal. The methods treated in more detail include spectral representation and “frequency” of the data, providing valuable information for, e.g. data compression and noise removal. Furthermore, a special emphasis is also put on the concept of “wavelets” in connection with the “multi-scale” structure of data-sets. The presentation of the book is elementary and easily accessible, requiring only some knowledge of elementary linear algebra and calculus. All important concepts are illustrated with examples, and each section contains between 10 an 25 exercises. A teaching guide, depending on the level and discipline of instructions is included for classroom teaching and self-study HTTP:URL=https://doi.org/10.2991/978-94-6239-009-6

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