小波导论(英文影印版)

.4. cardinal spline analysis　81
4.1　cardinal spline spaces　81
4.2　b-splines and their basic properties ..　85
4.3　the two-scale relation and an interpolatory graphical display algorithm　90
4.4　b-net representations and computation of cardinal splines　95
4.5　construction of spline approximation formulas　100
4.6　construction of spline interpolation formulas　109
5. scaling functions and wavelets　119
5.1　multiresolution analysis　120
5.2　scaling functions with finite two-scale relations　128
5 3　direct-sum decompositions of l2(r)　140
5.4　wavelets and their duals　146
5 5　linear-phase filtering　159
5.6　compactly supported wavelets　168
6. cardinal spline-wavelets　177
6.1　interpolatory spline-wavelets　177
6 2　compactly supported spline-wavelets　182
6.3　computation of cardinal spline-wavelets　187
6.4　eulerfrobeniuspolynomials　195
6.5　error analysis in spline wavelet decomposition　199
6.6　total positivity, complete oscillation, zero-crossings　207
7. orthogonal wavelets and wavelet packets　215
7.1　examples of orthogonal wavelets　215
7.2　identification of orthogonal two-scale symbols　220
7.3　construction of compactly supported orthogonal wavelets　229
7.4　orthogonal wavelet packets　236
7.5　orthogonal decomposition of wavelet series　240
notes　245
references　251
subject index　257
appendix ...　265