Wavelets and their Applications

Index

A

admissibility 40, 41, 116-118

algorithm

2D 80

average points (k-means) 295

cascade 109, 113, 114

compression 225, 233

denoising 199, 216, 233

DWT 63, 67

Mallat 63, 64, 69, 93, 109, 111, 132

approximation

image 240

of a form 119, 157

of a signal 12

of a wavelet 102, 109, 112

B

base

Haar 89

Riesz 43

wavelet packets 53, 233

Brownian motion 292

C

coding

acceptable 270

EZW 273

fixed length 273

Huffman 273

progressive 273

RGB 237

variable length 273

video 308

coefficients

approximation 10, 18, 64, 67, 80, 228, 237, 238, 257

detail 9, 64, 67, 69, 70, 161, 183, 237, 238, 257, 274

wavelet 4, 9, 17, 19, 39, 161, 195, 200, 210, 297

compression

by wavelet packets 27, 233

image 262, 266, 276

methods 226, 262

of photographs 282

of the spectrum 305

quality of 226, 265

signal 89, 197

D

decoding 262

EZW 317

decomposition 67, 75, 162, 178, 240

algorithm of 69, 84, 87, 132

filters 65, 67, 81

image 22, 265, 277

in compact form 22, 23

in tree form 21

multi-scale 304

orthogonal 75

SWT 84, 86

E

estimation

density 221

regression 221, 224

F

filter 49, 65, 131

bank 63, 79, 116, 131-134, 137, 146, 147

fusion

high-pass 66

low-pass 66

of images 236, 247

R

resolution 11, 238, 280

frequency 30, 50, 160, 178, 183

temporal 29, 37

S

spectrum 31

cross 285

energy 31

near infrared (NIR) 304, 305

quadrature 286

wavelet 285, 286, 292

T

transform

continuous wavelet 37

discrete wavelet 29, 42, 63, 65, 79, 202, 218

Fourier 2, 3, 30-33, 47, 48, 117, 164, 307

Gabor 29, 30, 35, 36

wavelet packet 53, 55, 178

tree ...