Adaptive wavelets and their applications to image fusion and compression

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Piella, G.

Publication date

2003

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Citation for published version (APA):

Piella, G. (2003). Adaptive wavelets and their applications to image fusion and compression.

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adaptive wavelets in image fusion, 147 the need for. 18 adaptivity

condition on the update filters, 53 condition on the seminorm, 52 analysis, 24 compression, 105 measures, 106 rate-distortion curves, 106 wavelet-based, 107. 108 cosine basis, 35 decision map, 46 binary. 51 continuous, 89 gradient based, 51 others, 95 103 entropy, 107 empirical, 110 Gaussian pyramid, 10 gradient pyramid. 41 image fusion applications, 130 concept of, 128 multiresolution-based. 20, 134 non-reference quality measures. 173 performance, 171

reference-based quality measures. 172 techniques, 133 Laplacian pyramid, 10 lifting general decompositions, 25 prediction step, 25 pyramids, 31 update step. 26 wavelets, 34 multiresolution analysis, 14 applications, 8-9 concept of, 5 decompositions, 23 41 segmentation, 161 techniques. 7-8 multiresolution image fusion

pixel-based, 134 region-based. 158 mult iresolut ion/multisource

segmentation. 163 niultiwavelets, 36 perfect reconstruction condition, 24 filter bank, 17 system, 23 prediction lifting, 25 pyramid Burt-Adelson, 10 11 Gaussian, 10 gradient pyramid, -11 Laplacian, 10 lifting. 31 pyramid condition, 29 steerable, 38 transform. 27 rate-distortion curves. 106 201

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202 Index

seminoma /'-norm. 85 Z°°-norm, 85 adaptivity condition. 52 definition. 48 inverse. 50 of an operator. 50 quadratic, 73 weighted gradient, 60 steerable pyramid. 38 synthesis. 24 threshold criterion, 55

necessary and sufficient conditions. 56, 57 time-frequency localization, 3 representations. 2 tiling, 3 trade-off. 2 1 uncertainty principle. 3 update lifting, 26 adaptive. 46 wavelet transform classical, 4 general, 32 wavelets adaptive approaches, 44 46 continuous wavelet transform. 11 discrete wavelet transform. 7. 17 filter banks. 15

lifting. 31

pyramid condition. 33 wavelets packets. 35