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| 001 | 978-3-319-22303-2 | ||
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_a9783319223032 _9978-3-319-22303-2 |
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_a10.1007/978-3-319-22303-2 _2doi |
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_a621.382 _223 |
| 100 | 1 |
_aAverbuch, Amir Z. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _959854 |
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| 245 | 1 | 0 |
_aSpline and Spline Wavelet Methods with Applications to Signal and Image Processing _h[electronic resource] : _bVolume II: Non-Periodic Splines / _cby Amir Z. Averbuch, Pekka Neittaanmäki, Valery A. Zheludev. |
| 250 | _a1st ed. 2016. | ||
| 264 | 1 |
_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2016. |
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| 300 |
_aXXV, 426 p. 129 illus., 87 illus. in color. _bonline resource. |
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_atext _btxt _2rdacontent |
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_acomputer _bc _2rdamedia |
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_aonline resource _bcr _2rdacarrier |
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_atext file _bPDF _2rda |
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| 505 | 0 | _aPreface.-1 Introduction: Signals and Transforms -- 2 Introduction: Digital Filters and Filter Banks -- 3 Mixed Convolutions and Zak Transforms -- 4 Non-Periodic Polynomial Splines -- 5 Quasi-Interpolating and Smoothing Local Splines -- 6 Cubic Local Splines on Non-Uniform Grid -- 7 Splines Computation by Subdivision -- 8 Polynomial Spline-Wavelets -- 9 Non-Periodic Discrete Splines -- 10 Non-Periodic Discrete-Spline Wavelets -- 11 Biorthogonal Wavelet Transforms -- 12 Biorthogonal Wavelet Transforms Originating from Splines -- 13 Data Compression Using Wavelet and Local Cosine Transforms -- 14 Wavelet Frames Generated by Perfect Reconstruction Filter Banks -- 15 Biorthogonal Multiwavelets Originated from Hermite Splines -- 16 Multiwavelet Frames Originated from Hermite Splines -- Appendix A - Guide to Spline SoftN -- Glossary -- Index. | |
| 520 | _aThis book presents various contributions of splines to signal and image processing from a unified perspective that is based on the Zak transform (ZT). It expands the methodology from periodic splines, which were presented in the first volume, to non-periodic splines. Together, these books provide a universal toolbox accompanied by MATLAB software for manipulating polynomial and discrete splines, spline-based wavelets, wavelet packets and wavelet frames for signal/ image processing applications. In this volume, we see that the ZT provides an integral representation of discrete and polynomial splines, which, to some extent, is similar to Fourier integral. The authors explore elements of spline theory and design, and consider different types of polynomial and discrete splines. They describe applications of spline-based wavelets to data compression. These splines are useful for real-time signal processing and, in particular, real-time wavelet and frame transforms. Further topics addressed in this volume include: "global" splines, such as interpolating, self-dual and smoothing, whose supports are infinite; the compactly supported quasi-interpolating and smoothing splines including quasi-interpolating splines on non-uniform grids; and cubic Hermite splines as a source for the design of multiwavelets and multiwavelet frames. Readers from various disciplines including engineering, computer science and mathematical information technology will find the descriptions of algorithms, applications and software in this book especially useful. | ||
| 650 | 0 |
_aSignal processing. _94052 |
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| 650 | 0 |
_aImage processing—Digital techniques. _931565 |
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| 650 | 0 |
_aComputer vision. _959855 |
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| 650 | 0 |
_aMathematics—Data processing. _931594 |
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| 650 | 1 | 4 |
_aSignal, Speech and Image Processing . _931566 |
| 650 | 2 | 4 |
_aComputer Imaging, Vision, Pattern Recognition and Graphics. _931569 |
| 650 | 2 | 4 |
_aComputational Mathematics and Numerical Analysis. _931598 |
| 700 | 1 |
_aNeittaanmäki, Pekka. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _959856 |
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| 700 | 1 |
_aZheludev, Valery A. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _959857 |
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| 710 | 2 |
_aSpringerLink (Online service) _959858 |
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| 773 | 0 | _tSpringer Nature eBook | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783319223025 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783319223049 |
| 856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-319-22303-2 |
| 912 | _aZDB-2-ENG | ||
| 912 | _aZDB-2-SXE | ||
| 942 | _cEBK | ||
| 999 |
_c80429 _d80429 |
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