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Record Nr. |
UNINA9910438028503321 |
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Autore |
Chui Charles K |
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Titolo |
Applied Mathematics : Data Compression, Spectral Methods, Fourier Analysis, Wavelets, and Applications / / by Charles K. Chui, Qingtang Jiang |
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Pubbl/distr/stampa |
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Paris : , : Atlantis Press : , : Imprint : Atlantis Press, , 2013 |
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ISBN |
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Edizione |
[1st ed. 2013.] |
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Descrizione fisica |
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1 online resource (567 p.) |
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Collana |
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Mathematics Textbooks for Science and Engineering, , 2213-0853 ; ; 2 |
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Disciplina |
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Soggetti |
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Applied mathematics |
Engineering mathematics |
Information theory |
Statistics |
Optical data processing |
Engineering design |
Applications of Mathematics |
Information and Communication, Circuits |
Statistics, general |
Computer Imaging, Vision, Pattern Recognition and Graphics |
Engineering Design |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Nota di contenuto |
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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. |
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Sommario/riassunto |
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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 |
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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. |
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