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Wavelet theory [[electronic resource] ] : an elementary approach with applications / / David K. Ruch, Patrick J. Van Fleet
| Wavelet theory [[electronic resource] ] : an elementary approach with applications / / David K. Ruch, Patrick J. Van Fleet |
| Autore | Ruch David K. <1959-> |
| Pubbl/distr/stampa | Hoboken, N.J., : John Wiley & Sons, 2009 |
| Descrizione fisica | 1 online resource (502 p.) |
| Disciplina | 515.2433 |
| Altri autori (Persone) | Van FleetPatrick J. <1962-> |
| Soggetto topico |
Wavelets (Mathematics)
Transformations (Mathematics) Digital images - Mathematics |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-283-28001-9
9786613280015 1-118-16565-9 1-118-16566-7 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Wavelet Theory: An Elementary Approach with Applications; CONTENTS; Preface; Acknowledgments; 1 The Complex Plane and the Space L2(R); 1.1 Complex Numbers and Basic Operations; Problems; 1.2 The Space L2(R); Problems; 1.3 Inner Products; Problems; 1.4 Bases and Projections; Problems; 2 Fourier Series and Fourier Transformations; 2.1 Euler's Formula and the Complex Exponential Function; Problems; 2.2 Fourier Series; Problems; 2.3 The Fourier Transform; Problems; 2.4 Convolution and 5-Splines; Problems; 3 Haar Spaces; 3.1 The Haar Space Vo; Problems; 3.2 The General Haar Space Vj; Problems
3.3 The Haar Wavelet Space W0Problems; 3.4 The General Haar Wavelet Space Wj; Problems; 3.5 Decomposition and Reconstruction; Problems; 3.6 Summary; 4 The Discrete Haar Wavelet Transform and Applications; 4.1 The One-Dimensional Transform; Problems; 4.2 The Two-Dimensional Transform; Problems; 4.3 Edge Detection and Naive Image Compression; 5 Multiresolution Analysis; 5.1 Multiresolution Analysis; Problems; 5.2 The View from the Transform Domain; Problems; 5.3 Examples of Multiresolution Analyses; Problems; 5.4 Summary; 6 Daubechies Scaling Functions and Wavelets 6.1 Constructing the Daubechies Scaling FunctionsProblems; 6.2 The Cascade Algorithm; Problems; 6.3 Orthogonal Translates, Coding, and Projections; Problems; 7 The Discrete Daubechies Transformation and Applications; 7.1 The Discrete Daubechies Wavelet Transform; Problems; 7.2 Projections and Signal and Image Compression; Problems; 7.3 Naive Image Segmentation; Problems; 8 Biorthogonal Scaling Functions and Wavelets; 8.1 A Biorthogonal Example and Duality; Problems; 8.2 Biorthogonality Conditions for Symbols and Wavelet Spaces; Problems 8.3 Biorthogonal Spline Filter Pairs and the CDF97 Filter PairProblems; 8.4 Decomposition and Reconstruction; Problems; 8.5 The Discrete Biorthogonal Wavelet Transform; Problems; 8.6 Riesz Basis Theory; Problems; 9 Wavelet Packets; 9.1 Constructing Wavelet Packet Functions; Problems; 9.2 Wavelet Packet Spaces; Problems; 9.3 The Discrete Packet Transform and Best Basis Algorithm; Problems; 9.4 The FBI Fingerprint Compression Standard; Appendix A: Huffman Coding; Problems; References; Topic Index; Author Index |
| Record Nr. | UNINA-9910139575203321 |
Ruch David K. <1959->
|
||
| Hoboken, N.J., : John Wiley & Sons, 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Wavelet theory [[electronic resource] ] : an elementary approach with applications / / David K. Ruch, Patrick J. Van Fleet
| Wavelet theory [[electronic resource] ] : an elementary approach with applications / / David K. Ruch, Patrick J. Van Fleet |
| Autore | Ruch David K. <1959-> |
| Pubbl/distr/stampa | Hoboken, N.J., : John Wiley & Sons, 2009 |
| Descrizione fisica | 1 online resource (502 p.) |
| Disciplina | 515.2433 |
| Altri autori (Persone) | Van FleetPatrick J. <1962-> |
| Soggetto topico |
Wavelets (Mathematics)
Transformations (Mathematics) Digital images - Mathematics |
| ISBN |
1-283-28001-9
9786613280015 1-118-16565-9 1-118-16566-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Wavelet Theory: An Elementary Approach with Applications; CONTENTS; Preface; Acknowledgments; 1 The Complex Plane and the Space L2(R); 1.1 Complex Numbers and Basic Operations; Problems; 1.2 The Space L2(R); Problems; 1.3 Inner Products; Problems; 1.4 Bases and Projections; Problems; 2 Fourier Series and Fourier Transformations; 2.1 Euler's Formula and the Complex Exponential Function; Problems; 2.2 Fourier Series; Problems; 2.3 The Fourier Transform; Problems; 2.4 Convolution and 5-Splines; Problems; 3 Haar Spaces; 3.1 The Haar Space Vo; Problems; 3.2 The General Haar Space Vj; Problems
3.3 The Haar Wavelet Space W0Problems; 3.4 The General Haar Wavelet Space Wj; Problems; 3.5 Decomposition and Reconstruction; Problems; 3.6 Summary; 4 The Discrete Haar Wavelet Transform and Applications; 4.1 The One-Dimensional Transform; Problems; 4.2 The Two-Dimensional Transform; Problems; 4.3 Edge Detection and Naive Image Compression; 5 Multiresolution Analysis; 5.1 Multiresolution Analysis; Problems; 5.2 The View from the Transform Domain; Problems; 5.3 Examples of Multiresolution Analyses; Problems; 5.4 Summary; 6 Daubechies Scaling Functions and Wavelets 6.1 Constructing the Daubechies Scaling FunctionsProblems; 6.2 The Cascade Algorithm; Problems; 6.3 Orthogonal Translates, Coding, and Projections; Problems; 7 The Discrete Daubechies Transformation and Applications; 7.1 The Discrete Daubechies Wavelet Transform; Problems; 7.2 Projections and Signal and Image Compression; Problems; 7.3 Naive Image Segmentation; Problems; 8 Biorthogonal Scaling Functions and Wavelets; 8.1 A Biorthogonal Example and Duality; Problems; 8.2 Biorthogonality Conditions for Symbols and Wavelet Spaces; Problems 8.3 Biorthogonal Spline Filter Pairs and the CDF97 Filter PairProblems; 8.4 Decomposition and Reconstruction; Problems; 8.5 The Discrete Biorthogonal Wavelet Transform; Problems; 8.6 Riesz Basis Theory; Problems; 9 Wavelet Packets; 9.1 Constructing Wavelet Packet Functions; Problems; 9.2 Wavelet Packet Spaces; Problems; 9.3 The Discrete Packet Transform and Best Basis Algorithm; Problems; 9.4 The FBI Fingerprint Compression Standard; Appendix A: Huffman Coding; Problems; References; Topic Index; Author Index |
| Record Nr. | UNINA-9910830325103321 |
|
Ruch David K. <1959->
|
||
| Hoboken, N.J., : John Wiley & Sons, 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Wavelet theory : an elementary approach with applications / / David K. Ruch, Patrick J. Van Fleet
| Wavelet theory : an elementary approach with applications / / David K. Ruch, Patrick J. Van Fleet |
| Autore | Ruch David K. <1959-> |
| Pubbl/distr/stampa | Hoboken, N.J., : John Wiley & Sons, 2009 |
| Descrizione fisica | 1 online resource (502 p.) |
| Disciplina | 515/.2433 |
| Altri autori (Persone) | Van FleetPatrick J. <1962-> |
| Soggetto topico |
Wavelets (Mathematics)
Transformations (Mathematics) Digital images - Mathematics |
| ISBN |
9786613280015
9781283280013 1283280019 9781118165652 1118165659 9781118165669 1118165667 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Wavelet Theory: An Elementary Approach with Applications; CONTENTS; Preface; Acknowledgments; 1 The Complex Plane and the Space L2(R); 1.1 Complex Numbers and Basic Operations; Problems; 1.2 The Space L2(R); Problems; 1.3 Inner Products; Problems; 1.4 Bases and Projections; Problems; 2 Fourier Series and Fourier Transformations; 2.1 Euler's Formula and the Complex Exponential Function; Problems; 2.2 Fourier Series; Problems; 2.3 The Fourier Transform; Problems; 2.4 Convolution and 5-Splines; Problems; 3 Haar Spaces; 3.1 The Haar Space Vo; Problems; 3.2 The General Haar Space Vj; Problems
3.3 The Haar Wavelet Space W0Problems; 3.4 The General Haar Wavelet Space Wj; Problems; 3.5 Decomposition and Reconstruction; Problems; 3.6 Summary; 4 The Discrete Haar Wavelet Transform and Applications; 4.1 The One-Dimensional Transform; Problems; 4.2 The Two-Dimensional Transform; Problems; 4.3 Edge Detection and Naive Image Compression; 5 Multiresolution Analysis; 5.1 Multiresolution Analysis; Problems; 5.2 The View from the Transform Domain; Problems; 5.3 Examples of Multiresolution Analyses; Problems; 5.4 Summary; 6 Daubechies Scaling Functions and Wavelets 6.1 Constructing the Daubechies Scaling FunctionsProblems; 6.2 The Cascade Algorithm; Problems; 6.3 Orthogonal Translates, Coding, and Projections; Problems; 7 The Discrete Daubechies Transformation and Applications; 7.1 The Discrete Daubechies Wavelet Transform; Problems; 7.2 Projections and Signal and Image Compression; Problems; 7.3 Naive Image Segmentation; Problems; 8 Biorthogonal Scaling Functions and Wavelets; 8.1 A Biorthogonal Example and Duality; Problems; 8.2 Biorthogonality Conditions for Symbols and Wavelet Spaces; Problems 8.3 Biorthogonal Spline Filter Pairs and the CDF97 Filter PairProblems; 8.4 Decomposition and Reconstruction; Problems; 8.5 The Discrete Biorthogonal Wavelet Transform; Problems; 8.6 Riesz Basis Theory; Problems; 9 Wavelet Packets; 9.1 Constructing Wavelet Packet Functions; Problems; 9.2 Wavelet Packet Spaces; Problems; 9.3 The Discrete Packet Transform and Best Basis Algorithm; Problems; 9.4 The FBI Fingerprint Compression Standard; Appendix A: Huffman Coding; Problems; References; Topic Index; Author Index |
| Record Nr. | UNINA-9911019512003321 |
|
Ruch David K. <1959->
|
||
| Hoboken, N.J., : John Wiley & Sons, 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||