- a
- Affine map 266
- Affine transform 50, 113, 266
- Aliasing , 73
- Analog‐to‐digital converter 17
- Approximation
- Artifacts 72
- Attractor 267
- Autoregression 213
- b
- Back propagation 154
- Banach Fixed Point Theorem 264
- Bandlimit , 123
- Basis , 135
- Bayer color filter array 19
- biased mean covariance window 243
- Bicubic 103
- Bilinear 98
- Bit
- Block averaging 56
- Blocking 75
- Blurring 74
- Boundary extension 30, 228
- constant 31
- cropping 33
- infinite 32
- periodic 31
- symmetric 32
- zero padding 31
- Brightness 61
- c
- Chromaticness 61
- Chrominance 59
- Collage error 268
- Collage Theorem 268, 274
- Color
- Color Space 60
- Compact support 187
- Constant extension 31
- Contraction
- affine transform 266
- mapping 264
- Transform Theorem 264
- Convolution 10, 28
- covariance difference 250, 252
- covariance mismatch 239
- Cropping 33
- Cycle‐spinning
- Cyclic‐spinning 149
- d
- DFT ,
- Discrete Cosine Transform (DCT) 132
- Discrete Fourier Transform ,
- Discrete Time Fourier Transform
- Domain block 267, 270
- Dots per inch 20
- DTFT , 124
- Dyadic 161
- Dynamic range 22
- e
- Edge 34, 72
- center 35
- detector 36
- Laplacian 41
- Prewitt 37
- Robert 37
- Sobel 37
- threshold 37, 39
- zero‐crossing 40, 41
- direction 34, 36
- first order derivative 36
- jaggy 91
- magnitude 34, 37
- map 35, 193
- normal 35
- orientation 35
- pixel 34
- position 35
- second order derivative 40
- zero‐crossing 36
- Edge halo 74
- Edge‐directed?interpolation 192
- EIDCT
- Enhanced Modified Edge Directed Interpolation 242
- Error image 77
- Extendible IDCT (EIDCT) 149
- f
- Filter
- 2D 28
- analysis 162
- average 56
- bank 162
- bicubic 110
- bilinear 110
- decimation 54
- delta 55
- Gaussian 42
- gradient 37
- kernel 93
- median 65
- nearest neighbor 110
- order 111
- rank order 65
- reconstruction 10
- Sinc 55
- sinc 110
- spline
- First order hold 10, 11, 98
- Fitting , 185, 285
- Fixed Point
- Fixed point 264
- Fractal 263
- attractor 267
- codebook 271
- collage
- decoding 277
- domain block grayscale scaling 274
- encoding 268, 269, 276
- enhancement layer 286
- exact interpolation 285
- interleave layer 286
- interpolation 283
- overlap 287
- zoom 283
- Frequency 123
- Function approximation
- g
- Gaussian
- Geometric
- object 45
- ordered matrix 45
- resolution 20
- shape 45
- transformation 45
- homogeneous 46
- reflection 47
- rotation 49
- scaling 47
- shearing 49
- translation 46
- geometric duality 215
- Gibbs phenomenon 131
- Gradient 36
- direction 36
- filter 37
- magnitude 37
- Grayscale 18, 59
- Grayscale scaling 274
- i
- IDFT
- IFS 264
- Image
- aliasing 73
- block average 56
- blocking 75
- blurring 74
- color 58
- decimation 51, 54
- digital 17
- edge 72
- edge halo 74
- enlargement 52
- error 77
- features 72
- homogeneous 72
- interpolation 51
- jaggy 73
- pixel 17
- resize 51
- ringing 75
- rotation 114
- bicubic 118
- bilinear 115
- nearest neighbor 115
- smoothing 74
- texture 72
- washed out 74
- Improved Modified Edge Directed Interpolation 253
- Infinite extension 32
- Intensity 17
- Interpolation , 12
- bicubic 103
- bilinear 98
- digital 12
- explicit edge directed 193
- first order hold 98
- fractal 283
- image 92
- implicit edge directed 196
- kernel 93, 94
- nearest neighbor 94, 96
- nonadaptive 91
- nonparametric 91
- wavelet
- alternate zero 173
- regularity preserving 177
- zero order hold 94
- zero padding
- Interpolation:wavelet
- high frequency subband estimation 181
- Invariance
- grayscale scale 94
- rotation 94
- shift 94
- translation 94
- Inverse Discrete Fourier Transform
- Iterative
- Iterative Covariance Correction 249
- Iterative function system 264
- Iterative Modified Edge Directed Interpolation 255
- covariance correction 249
- l
- Laplacian 41
- Laplacian of Gaussian 42–44
- Lightness 61
- local covariance window 221
- Luminance 59, 61
- m
- Matrix
- Mean absolute error 77
- mean covariance window 215, 241
- Mean opinion score 73
- Mean squares error 76–78
- Median filter 65
- Modified Edge Directed Interpolation 235
- Multi‐resolution 170
- Multi‐resolution analysis 164
- n
- Nearest neighbor 10, 94, 96
- NEDI
- New Edge Directed Interpolation 215
- Newton method 264
- Noise 62
- additive 63
- approximation error
- blocking 142, 144, 147, 149, 152, 179
- blurring 102
- capture 63
- encoding 63
- Gaussian 63
- high frequency 171, 185
- impulse 63, 174
- jaggy 98, 102, 111
- multiplicative 63
- overshooting 108
- processing 63
- quantization
- rank order filter 65
- ringing 111, 131, 136, 155
- ringring 108
- salt and pepper 63
- sampling 63
- shoot 112
- shot 174, 175, 177
- zagzig 179
- zigzag 109, 181, 183
- Nyquist
- o
- Optimal grayscale transform 274
- Orthogonal 133–135, 187
- Orthonormal 133, 164
- Overlap 144
- p
- Partitioned iterative function 266
- Peak signal‐to‐noise ratio 76, 78–81
- Perfect reconstruction 163
- Periodic extension 31
- Piecewise 111
- Pixel 17
- current 23
- Neighbor 23
- per inch 20
- Power
- Power complementary 164
- q
- Quality
- FRIQ 71, 75
- full reference 71
- no reference 71
- NRIQ 71
- objective 71, 75
- reduced reference 71
- RRIQ 71
- subjective 71
- universal 85
- Quantization
- decision intervals
- reconstruction level
- r
- Radiometric
- Ramp 131, 136
- Range block 268
- Rank order filter 65
- Reconstruction
- Regularity 99, 186
- Resampling 92
- Resolution
- bit 21
- enhancement 52
- geometric 20
- radiometic 20
- spatial 20
- spectral 20
- time 20
- Ringing 75
- Row‐column 25
- s
- Sampling
- Sampling Theorem
- Separable 133
- separable transform 28
- Smooth
- Smoothing 42, 65, 74
- smoothing 39, 42
- Smoothness 187
- Sobel 37
- Spatial 20, 123
- Spectral
- Spline
- SSIM 72, 81–87
- contrast 84
- luminance 83
- sensitivity 85
- Structural integrity 116
- Structural similarity 76, 81
- Structural similarity index 81
- Structure similarity 72
- Sub‐sampling 55
- Subband
- Subband estimation 170
- Symmetric extension 32
- t
- Taylor series 171
- Texture 72
- Time
- Transform , 123
- affine 50, 113
- blocked 138
- Discrete Fourier
- geometric 45
- homogeneous 46
- reflection 47
- rotation 49
- scaling 47
- translation 46
- Inverse Discrete Fourier
- kernel 28
- lapped 149
- orthogonal 138
- overlap 144
- unitary
- True color 59
- u
- Unitary
- Universal quality index 85
- UQI 85
- v
- Vandermonde
- Vanishing moment 164, 186
- w
- Washed out 74
- watercolor 233
- Wavelet 161
- alternate zero 173
- bilinear 170
- cycle‐spinning 179
- DWT 161
- dyadic 161
- error correction 184
- kernel size 187
- local regularity 177
- perfect reconstruction 163
- power complementary 164
- regularity
- Wavelet:subband estimation 181
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