INDEX
(5, 3) biorthogonal filter pair
applied to an image, 382
(5, 3) biorthogonal spline filter pair, 378–380, 434, 436, 440, 447, 454, 460, 471, 475
in lifting, 460
signal compression, 390
(8, 4) biorthogonal filter pair, 382
(8, 4) biorthogonal spline filter pair, 383
(9, 7) biorthogonal spline filter pair, 394, 403
derivative conditions, 394
Fourier series, 394
derivative conditions, 403
A
Adelson, Edward, 370
algorithms
BWT1D1, 414
HWA, 191
HWT1D, 181
HWT1D1, 169
HWT2D, 195
HWT2D1, 192
HWTB, 192
IBWT1D1, 433
IBWTht, 430
IHT1D, 182
IHWT1D1, 170
IHWT2D1, 193
IWHT2D, 196
IWT1D1, 277
IWTht, 276
LWT1D1, 479
WT1D1, 270
modified biorthogonal transformation, 452
modified biorthogonal wavelet transformation, 439
modified inverse biorthogonal transformation, 449
modified inverse biorthogonal wavelet transformation, 453
American Standard Code for Information Interchange (ASCII), 50, 52, 70–71, 88
analysis gain bits, 473
antisymmetric filter, 370
applications first approach, xiv
applications of wavelets, 4
arithmetic coding, 474
averages block, 164
B
Bartle, Robert, 111
base step size, 473
basis, 110
Bell, Amy, 74
Berger, Jonathan, 5
Bezout’s theorem, 405
proof, 406
biased estimator, 494
bi-infinite sequences, 127–128, 135, 140
binary form, 50
binomial coefficient, 125–126, 264, 299
biorthogonal filter pair, 282, 352–353, 358, 370–371, 378, 393, 407
(5,3)
associated wavelet filter pair, 379
(8, 4), 382
(9, 7), 394
associated wavelet filters, ...
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