- a
- affine transformation 18
- aliasing 110
- aspect ratio
- autocorrelation 195–196
- autocovariance 195–196
- b
- bandpass filter 220
- bandstop filter 220
- Bayer color filter array 42, 111, 181–188
- binary operation 313
- black space 137
- blur, uniform out‐of‐focus 21
- brightness 147
- c
- cascade of systems 15
- change of primaries 138–140
- chromaticity coordinates 150
- chromaticity diagram 150
- CIE see Commission international de l'éclairage (CIE)
- CIELAB 155–156
- CIE 1924 relative luminous efficiency 148
- CIE standard observer 140–142
- circ function –8
- circularly symmetric signal 13
- color, definition 130
- color coordinates 147
- change of color coordinates function 164
- CIELAB 155–156
- display referred 157–158
- linear 153
- luma‐color‐difference 158
- luminance/chromaticities 151
- perceptually uniform 155–156
- sRGB 157
- color filter array (CFA) 180
- color matching functions 134
- CIE 1931 RGB primaries 141
- CIE 1931 XYZ primaries 142
- EIZO CRT phosphor primaries 144
- color mosaic display 188–191
- color peak signal‐to‐noise ratio (CPSNR) 178
- color root mean square error (CRMSE) 178
- color vector space 135–137
- basis 137–138
- dimension 136–137
- Commission international de l'éclairage (CIE) 140
- complete symmetry group (Λ) 256
- complex exponential sinusoidal signal
- complexification of a vector space 168
- convolution
- continuous domain 21
- continuous domain, periodic 95
- discrete domain 52
- discrete domain, periodic 72
- integral 21
- coset 69, 296, 314
- coset representative 70, 71, 297, 314
- cross‐correlation 199
- cross‐covariance 199
- cross spectrum 201
- d
- DC Gain 62
- determinant of a lattice see lattice, determinant
- dihedral group 257, 260, 268
- Dirac delta 12
- directional derivative 34
- direct sum of vector subspaces 316
- discrete cosine transform (DCT) 276
- one‐dimensional 276–279
- one‐dimensional DCT‐1 276–278
- one‐dimensional DCT‐2 278–279
- two‐dimensional DCT‐2 279–280, 283–284, 286–287
- discrete Fourier transform (DFT)
- D‐dimensional rectangular 77
- one‐dimensional 76–77
- display aperture 112, 188
- downsampling 237, 245–248
- e
- elementary column operations 299–300
- equivalence class 311
- equivalence relation 311
- Euclidean Group E(D) 255
- expectation 195
- f
- fast Fourier transform (FFT) 85
- finite impulse response (FIR) filter 59, 215–235
- least‐pth design 229–232
- optimization design 229–232
- window design 226–229
- Fourier‐Poisson cube 116–117
- frequency response
- continuous domain 22
- continuous domain, color 168–170
- discrete domain 52
- discrete domain, color 174–175
- fundamental domain 267
- fundamental parallelepiped see unit cell, fundamental parallelepiped
- g
- gamma correction 157
- Gaussian filter
- Gaussian probability density 196
- Gaussian signal 10
- gradient 25
- Grassmann's laws 130–132
- group 313–314
- h
- Hermite normal form 300–302
- holohedry (Λ) 256
- i
- impulse response 21
- index of a sublattice 69, 296
- inner product 317
- interlaced scanning 47, 308
- inversion 255, 256
- irradiance 126
- isometry 255
- isotropic signal 13
- isotropy subgroup 275
- l
- Laplacian of Gaussian (LoG) filter 35
- Laplacian system 20, 34
- lattice 42–46, 289–310
- least‐pth optimization 229–232
- light, visible 125
- linear combination 315
- linear independence 316
- linear shift‐invariant (LSI) system
- continuous domain 19
- continuous domain, color 166
- continuous domain, periodic 94
- discrete domain 51
- discrete domain, color 173–174
- discrete domain, periodic 72
- linear system
- continuous domain 15
- continuous domain, color 166
- continuous domain, periodic 94
- discrete domain 51
- linear transformation 316–317
- kernel (or null space) 317
- local frequency 11
- low‐pass filter 216, 217
- LSI see linear shift‐invariant (LSI) system
- luma 158
- luminance 147–149
- m
- mean 195–196
- memoryless system 166
- metameric class 130
- metameric equivalence 130, 132–134
- metamerism 130
- moving average filter 215–218
- multidimensional Fourier transform, continuous domain 22
- multidimensional Fourier transform, continuous domain color 170
- multidimensional Fourier transform, continuous domain periodic 96
- inverse 118–119
- properties 96–100
- multidimensional Fourier transform, discrete domain 52
- inverse 117–118
- periodicity 52
- properties 53–57
- multidimensional Fourier transform, discrete domain periodic 73
- inverse 75–76
- periodicity 73
- properties 77–80
- multidimensional Nyquist sampling theorem 110
- n
- neutral element of a group 313
- norm 318
- o
- orbit 264, 271
- orbit representatives 264, 271
- orientation of xy axes
- orthogonal basis 317
- orthogonal group O(D) 256
- orthogonal matrix 256, 260
- orthogonal vectors 317
- orthonormal basis 318
- p
- Parseval relation, continuous domain 27
- periodic signal
- continuous domain 93
- discrete domain 69
- periodization 113–114
- periodogram 207
- physical light stimuli 128
- physically realizable colors 137, 144–147
- picture height (ph)
- pixel height (px) 48
- point group (Λ) 256
- Poisson summation formula 114–116
- polynomial interpolation 251–254
- power density spectrum, WSS random field 199–200
- power density spectrum of light 126
- primaries, color 131, 137
- CIE 1931 RGB 141
- CIE 1976 Uniform Chromaticity Scale (UCS) 143
- CIE 1931 XYZ 141–142
- EIZO CRT RGB phosphors 144
- ITU‐R Rec BT.709, sRGB 153–155
- transformation of 138–140
- Zhang‐Wandell opponent 171
- r
- radiance 126
- radiant exitance 126
- radiant flux 126
- radiant intensity 126
- radiometry 125
- random field 193–195
- wide‐sense stationary (WSS) 196
- reciprocal basis 294
- reciprocal lattice see lattice, reciprocal
- rect function –8
- reference white 137
- reflectance 126
- relative luminous efficiency 148
- s
- sampling 107
- color signal, different structures 180–188
- color signal, single lattice 175
- ideal 107
- practical 110–112
- WSS random field 206
- sampling aperture 111
- sampling density 44, 292
- sampling matrix 43, 290
- sampling structure 46–47
- conversion 237–254
- conversion system 249
- S‐CIELAB error criterion 175–180
- S‐CIELAB‐PSNR 178
- separable filters 66
- separable function 13
- shift system, continuous domain 16, 19
- shift system, discrete domain 51
- sifting property 20
- signal space
- color 164, 173
- continuous domain 14
- discrete domain 48
- singularities 12
- sinusoidal signal
- continuous domain –10
- continuous domain, color 168
- continuous domain, periodic 94
- discrete domain 49–50
- discrete domain, color 174
- discrete domain, periodic 71
- Smith‐MacMillan normal form 304–305
- Smith normal form 75, 82, 302–304
- spatial CIELAB (S‐CIELAB) model 171
- spatial frequency
- spatial window –6
- spectral density matrix 201–202
- still image
- structure tensor 34
- sublattice 69, 237–239, 295–296
- superlattice 238, 295
- symmetry 255
- symmetry group (Λ) 256
- complete see complete symmetry group (Λ)
- symmetry‐group invariant system 258
- symmetry invariance 255
- system
- continuous domain 15
- continuous domain, color signals 166
- discrete domain 51
- discrete domain, color signals 173
- t
- time‐varying image
- translation transformation 256
- tristimulus values 137–138
- u
- unimodular integer matrix 291
- unit cell 44, 291–293
- fundamental parallelepiped 292
- Voronoi 44, 292–293
- unit of spatial distance
- unit sample response 51
- upsampling 237, 239–245
- zero‐insertion upsampler 240
- w
- white noise 196, 200
- window 207, 226–227
- Blackman‐Harris 208
- Hamming 228
- WSS see random field, wide‐sense stationary (WSS)
- xy coordinate system
- z
- zero‐insertion upsampler see upsampling, zero‐insertion upsampler
- zero‐one functions –8
- zero‐phase filter 62
- zone plate 10–12
..................Content has been hidden....................
You can't read the all page of ebook, please click
here login for view all page.