LEADER 04015nam 22008295 450 001 9910438028503321 005 20250717131757.0 010 $a94-6239-009-6 024 7 $a10.2991/978-94-6239-009-6 035 $a(CKB)3710000000019219 035 $a(EBL)1466029 035 $a(SSID)ssj0001010484 035 $a(PQKBManifestationID)11533209 035 $a(PQKBTitleCode)TC0001010484 035 $a(PQKBWorkID)11000429 035 $a(PQKB)10021376 035 $a(DE-He213)978-94-6239-009-6 035 $a(MiAaPQ)EBC6312188 035 $a(MiAaPQ)EBC1466029 035 $a(Au-PeEL)EBL1466029 035 $a(CaPaEBR)ebr10965488 035 $a(OCoLC)922907247 035 $a(PPN)172434661 035 $a(EXLCZ)993710000000019219 100 $a20130930d2013 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aApplied Mathematics $eData Compression, Spectral Methods, Fourier Analysis, Wavelets, and Applications /$fby Charles K. Chui, Qingtang Jiang 205 $a1st ed. 2013. 210 1$aParis :$cAtlantis Press :$cImprint: Atlantis Press,$d2013. 215 $a1 online resource (567 p.) 225 1 $aMathematics Textbooks for Science and Engineering,$x2213-087X ;$v2 300 $aIncludes index. 311 08$a94-6239-008-8 327 $aLinear 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. 330 $aThis textbook, apart from introducing the basic aspects of applied mathematics, focuses on recent topics such as information data manipulation, information coding, data approximation, data dimensionality reduction, data compression, time-frequency and time scale bases, image manipulation, and image noise removal. The methods treated in more detail include spectral representation and ?frequency? of the data, providing valuable information for, e.g. data compression and noise removal. Furthermore, a special emphasis is also put on the concept of ?wavelets? in connection with the ?multi-scale? structure of data-sets. The presentation of the book is elementary and easily accessible, requiring only some knowledge of elementary linear algebra and calculus. All important concepts are illustrated with examples, and each section contains between 10 an 25 exercises. A teaching guide, depending on the level and discipline of instructions is included for classroom teaching and self-study. 410 0$aMathematics Textbooks for Science and Engineering,$x2213-087X ;$v2 606 $aMathematics 606 $aComputer science$xMathematics 606 $aStatistics 606 $aImage processing$xDigital techniques 606 $aComputer vision 606 $aEngineering design 606 $aApplications of Mathematics 606 $aMathematical Applications in Computer Science 606 $aStatistics 606 $aComputer Imaging, Vision, Pattern Recognition and Graphics 606 $aEngineering Design 615 0$aMathematics. 615 0$aComputer science$xMathematics. 615 0$aStatistics. 615 0$aImage processing$xDigital techniques. 615 0$aComputer vision. 615 0$aEngineering design. 615 14$aApplications of Mathematics. 615 24$aMathematical Applications in Computer Science. 615 24$aStatistics. 615 24$aComputer Imaging, Vision, Pattern Recognition and Graphics. 615 24$aEngineering Design. 676 $a510 700 $aChui$b Charles K$4aut$4http://id.loc.gov/vocabulary/relators/aut$022718 702 $aJiang$b Qingtang$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910438028503321 996 $aApplied Mathematics$92508210 997 $aUNINA