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عدد المساهمات : 18996 التقييم : 35494 تاريخ التسجيل : 01/07/2009 الدولة : مصر العمل : مدير منتدى هندسة الإنتاج والتصميم الميكانيكى
| موضوع: كتاب Machine Vision - Automated Visual Inspection - Theory, Practice and Applications الأربعاء 06 ديسمبر 2023, 9:10 pm | |
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أخواني في الله أحضرت لكم كتاب Machine Vision - Automated Visual Inspection - Theory, Practice and Applications Jürgen Beyerer, Fernando Puente León, Christian Frese
و المحتوى كما يلي :
Contents 1 Introduction 1 1.1 Visual inspection . 3 1.2 Optical capturing of test objects . 7 1.3 Formation and definition of an image 9 1.4 Machine vision 10 1.5 Practical approach for performing machine vision projects 15 1.6 Bibliography 16 I Image Acquisition 19 2 Light 21 2.1 The phenomenon of light 23 2.1.1 The electromagnetic spectrum . 23 2.2 Light as an electromagnetic wave 24 2.2.1 Maxwell’s equations . 24 2.2.1.1 Wave equations of the electric field . 26 2.2.2 Polarization 31 2.2.2.1 The polarization ellipse 31 2.2.2.2 Stokes parameters 33 2.2.2.3 The Poincare sphere ´ . 35 2.2.2.4 Mueller matrices . 36 2.2.2.5 Measuring the polarization state . 41 2.2.2.6 The Jones calculus 42 2.2.3 Huygens’ principle 44 2.2.4 Coherence 44 2.2.5 Interference . 46 2.2.6 Diffraction 48 2.2.6.1 Resolution of imaging systems 58 2.2.7 Speckle 60 2.3 Light as a quantum phenomenon 61 2.4 The ray model of geometrical optics 65 2.5 Summary . 66 2.6 Interaction of light and matter 66 2.6.1 Absorption 67 2.6.2 The law of reflection . 67 2.6.3 The law of refraction . 68 2.6.4 Scattering 70 2.6.5 The Fresnel coefficients for reflection and transmission 71 2.6.6 Electromagnetic waves in conductive media 76 2.6.6.1 Complex index of refraction . 77XII Contents 2.7 Light sources . 80 2.7.1 Thermal radiators 80 2.7.1.1 Physical principles 80 2.7.1.2 Incandescent lamps and halogen lamps 81 2.7.2 Gas-discharge lamps 83 2.7.3 Light-emitting diodes 86 2.7.4 Laser . 89 2.7.5 Summary . 93 2.8 Bibliography 93 3 Optical Imaging 97 3.1 Introduction 99 3.2 Imaging with a pinhole camera, central projection . 100 3.3 The camera model and camera calibration . 103 3.4 Optical imaging using a single lens . 106 3.4.1 The paraxial approximation and Gaussian optics . 107 3.4.2 Thin lens equation 108 3.4.3 Bundle limitation . 114 3.4.4 Depth of field . 117 3.4.5 Telecentric imaging . 123 3.4.5.1 Defocused telecentric imaging 124 3.4.5.2 Double-sided telecentric systems 125 3.4.6 Perspective 125 3.4.7 Imaging of tilted planes . 128 3.4.8 Aberrations 133 3.4.8.1 Seidel aberrations of spherical lenses 133 3.4.8.2 Chromatic aberration . 136 3.5 Optical instruments with several lenses . 137 3.5.1 The projector . 137 3.5.2 The microscope . 138 3.6 Bibliography 140 4 Radiometry 143 4.1 Radiometric quantities 145 4.2 The light field of a test object 150 4.3 The bidirectional reflectance distribution function (BRDF) . 152 4.3.1 BRDF and scattered light 155 4.4 Formation of image values 157 4.4.1 Application to a thin lens 157 4.5 Bibliography 160 5 Color 163 5.1 Photometry 165 5.2 Color perception and color spaces . 167 5.2.1 Color perception of the human eye . 167Contents XIII 5.2.2 Color mixing . 171 5.2.3 CIE color spaces . 173 5.2.4 Spectrophotometry for color measurement and color distance computation 185 5.2.5 Color order systems . 191 5.2.6 Other color spaces 192 5.2.6.1 Gamma correction 192 5.2.6.2 RGB color spaces 193 5.2.6.3 HSI and HSV . 195 5.2.6.4 YUV and YCBCR . 196 5.2.6.5 Color printing and CMYK . 197 5.3 Filters . 198 5.4 Acquisition and processing of color images 199 5.5 Bibliography 201 6 Sensors for Image Acquisition 203 6.1 Point, line and area sensors . 205 6.2 Image tube cameras . 206 6.3 Photomultipliers . 206 6.3.1 Image intensifiers 207 6.4 Photodiodes . 207 6.5 Position sensitive detectors (PSD) . 210 6.6 Charge-coupled device (CCD) 211 6.7 Complementary metal-oxide-semiconductor (CMOS) sensors 213 6.8 Line-scan cameras 215 6.9 Color sensors and color cameras 215 6.10 Infrared cameras . 216 6.10.1 Bolometer cameras . 217 6.10.2 Infrared quantum detector cameras 217 6.11 Quality criteria for image sensors 219 6.12 Bibliography 220 7 Methods of Image Acquisition 223 7.1 Introduction 227 7.2 Measuring optical properties 228 7.2.1 Measurement of the complex index of refraction 230 7.2.1.1 Reflectometry . 230 7.2.1.2 Ellipsometry 234 7.2.2 Fluorescence . 240 7.2.3 Methods for measuring the reflectance . 242 7.2.3.1 Diffuse illumination 242 7.2.3.2 Bright-field illumination 243 7.2.3.3 Dark-field illumination . 244 7.2.3.4 Laser scanners 246 7.2.3.5 Flatbed scanners . 248XIV Contents 7.2.4 Spectral sensors . 248 7.2.5 Light scattering methods and the inspection of surface roughness 251 7.3 3D shape capturing . 254 7.3.1 Triangulation (point-by-point scanning) . 255 7.3.2 Light-section methods (line scanning) . 259 7.3.3 The measurement uncertainty of triangulation . 260 7.3.4 Structured illumination 263 7.3.4.1 Stripe projection 264 7.3.5 Deflectometry 268 7.3.5.1 Open research questions regarding deflectometry . 276 7.3.6 The moire method ´ 276 7.3.6.1 The moire effect ´ 276 7.3.6.2 Mathematical model of the moire effect ´ . 278 7.3.6.3 Telecentric stripe projection . 279 7.3.6.4 Shadow moire´ . 283 7.3.6.5 Projection moire´ 284 7.3.7 Final remark on structured illumination . 285 7.3.8 Stereo images 285 7.3.8.1 Derivation of the fundamental matrix 286 7.3.8.2 Stereo correspondence algorithms . 289 7.3.8.3 Stereo reconstruction . 290 7.3.8.4 Multi-camera systems 290 7.3.8.5 Monocular stereo . 291 7.3.9 Light-field cameras . 291 7.3.10 Silhouette capturing . 296 7.3.10.1 Telecentric silhouette capturing . 298 7.3.10.2 Illumination for telecentric imaging 298 7.3.10.3 Retroreflectors 300 7.3.11 Shape from shading . 301 7.3.12 Autofocus sensors 303 7.3.13 Confocal microscopy 304 7.3.14 Confocal chromatic triangulation 307 7.3.15 Time-of-flight sensors 308 7.3.16 Phase-based methods . 309 7.3.16.1 Interferometry . 309 7.3.16.2 Speckle interferometry for material inspection . 314 7.3.16.3 Shearography . 315 7.3.16.4 Holography 317 7.4 Capturing interior object structures . 320 7.4.1 Thermography 321 7.4.2 Imaging using X-rays 325 7.4.3 Optical coherence tomography . 330 7.4.4 Schlieren imaging and schlieren tomography . 331 7.4.5 Image acquisition using terahertz radiation 332 7.4.6 Photoelasticity 338Contents XV 7.5 Special image acquisition methods . 344 7.5.1 Image acquisition systems with variable illumination direction 348 7.5.2 Endoscopy 349 7.6 Universal principles . 350 7.6.1 Suppression of extraneous light 350 7.6.2 Inverse illumination . 351 7.7 Summary . 356 7.8 Bibliography 358 II Image Processing 367 8 Image Signals 369 8.1 Mathematical model of image signals 373 8.2 Systems and signals . 374 8.2.1 System characteristics . 374 8.2.2 The Dirac delta function . 378 8.2.2.1 Definition of the Dirac delta function . 378 8.2.2.2 Characteristics of the Dirac delta function 379 8.2.3 Convolution 381 8.3 The Fourier transform 383 8.3.1 The one-dimensional Fourier transform 383 8.3.1.1 Definition of the Fourier transform 383 8.3.1.2 Properties of the Fourier transform . 384 8.3.1.3 Fourier transforms of selected functions 390 8.3.2 The one-dimensional sampling theorem 393 8.3.3 The discrete Fourier transform (DFT) 396 8.3.3.1 Definition of the DFT . 396 8.3.3.2 Properties of the DFT . 397 8.3.3.3 Spectral leakage . 398 8.3.3.4 The fast Fourier transform (FFT) . 400 8.3.3.5 The convolution theorem of the DFT 401 8.3.4 The two-dimensional Fourier transform 401 8.3.4.1 Definition of the two-dimensional Fourier transform 401 8.3.4.2 Properties of the two-dimensional Fourier transform 403 8.3.5 Dirac delta functions in two-dimensional space 407 8.3.6 The two-dimensional Heaviside function 409 8.3.7 Sampling of two-dimensional signals 409 8.3.8 Sampling theorem for two-dimensional signals 413 8.3.9 The two-dimensional DFT 414 8.3.9.1 Calculation of the 2-D DFT in practice 416 8.3.9.2 The convolution theorem of the 2-D DFT 417 8.3.9.3 The meaning of magnitude and phase . 417 8.3.9.4 Examples of the two-dimensional DFT . 418 8.4 Examples of use concerning system theory and the Fourier transform 425XVI Contents 8.5 Image signals as stochastic processes . 432 8.5.1 Moments of stochastic processes . 433 8.5.2 Stationarity and ergodicity 436 8.5.3 Passing a stochastic process through an LSI system . 440 8.6 Quantization . 445 8.6.1 Optimal quantization . 446 8.6.2 The quantization theorem 448 8.6.3 Modeling of the quantization 453 8.7 The Karhunen–Loeve transform ` . 455 8.7.1 Definition of the Karhunen–Loeve transform ` 456 8.7.2 Properties of the Karhunen–Loeve transform ` . 457 8.7.3 Examples of application of the Karhunen–Loeve transform ` 460 8.8 Bibliography 464 9 Preprocessing and Image Enhancement 465 9.1 Simple image enhancement methods 467 9.1.1 Contrast adjustment by histogram stretching . 467 9.1.2 Histogram manipulation . 469 9.1.3 Pseudo-color and false-color images 472 9.1.3.1 Pseudo-color images . 472 9.1.3.2 False-color images 473 9.1.4 Image sharpening 474 9.2 Reduction of systematic errors . 476 9.2.1 Geometric rectification 476 9.2.1.1 Bilinear interpolation . 478 9.2.1.2 Interpolation in the context of system theory 479 9.2.2 Suppression of inhomogeneities 480 9.2.2.1 Signal model . 480 9.2.2.2 Homogeneity . 481 9.2.2.3 Homomorphic filtering 483 9.2.2.4 Homogenization 485 9.3 Attenuation of random disturbances 491 9.3.1 Linear filters . 491 9.3.1.1 Low-pass filters for noise reduction . 496 9.3.1.2 Moving average filter . 497 9.3.1.3 Cone low-pass filter 500 9.3.1.4 Gaussian low-pass filter . 500 9.3.1.5 Ideal low-pass filters . 505 9.3.1.6 Constructing high-pass filters, band-stop filters, and band-pass filters from a given low-pass filter 506 9.3.1.7 Excursus: The Z-transform 506 9.3.2 Noise reduction using nonlinear filters . 509 9.3.2.1 The median filter . 509 9.3.2.2 Filters based on order statistics . 513 9.3.2.3 Bilateral filters . 514Contents XVII 9.4 Image registration 515 9.5 Bibliography 518 10 Image Restoration 521 10.1 Signal model . 523 10.2 Inverse filter 527 10.3 The Wiener filter . 533 10.4 The geometric mean filter 538 10.5 Optimal constraint filter . 540 10.6 Restoration problems in matrix notation 543 10.7 Restoration for participating media . 546 10.8 Spatially-varying image restoration . 548 10.9 Bibliography 549 11 Segmentation 553 11.1 Region-based segmentation . 556 11.1.1 Segmentation by feature-based classification . 556 11.1.2 Region growing methods 562 11.2 Edge-oriented methods . 562 11.2.1 Gradient filters 564 11.2.1.1 Construction of symmetric linear gradient filters 566 11.2.1.2 Differentiation using the DFT . 568 11.2.1.3 Gradient-of-Gaussian filter 570 11.2.1.4 Simple edge operators 572 11.2.2 Edge detection using the second derivative 572 11.2.3 The watershed transformation . 576 11.3 Diffusion filters 578 11.3.1 Linear, homogeneous, isotropic image diffusion 579 11.3.2 Linear, inhomogeneous, isotropic image diffusion . 580 11.3.3 Nonlinear, inhomogeneous, isotropic image diffusion . 581 11.3.4 Nonlinear, inhomogeneous, anisotropic image diffusion . 581 11.4 Active contours 586 11.4.1 Gradient vector flow . 591 11.4.2 Vector field convolution . 593 11.5 Segmentation according to Mumford and Shah 594 11.6 Segmentation using graph cut methods 596 11.7 Bibliography 604 12 Morphological Image Processing 607 12.1 Binary morphology 609 12.1.1 Point sets and structuring elements 609 12.1.2 Erosion and dilation . 611 12.1.2.1 Duality of erosion and dilation 618XVIII Contents 12.1.3 Opening and closing . 620 12.1.4 Border extraction . 623 12.1.5 Region filling . 624 12.1.6 Component labeling and connected component analysis . 624 12.1.7 The hit-or-miss operator . 626 12.1.7.1 Thinning 627 12.1.7.2 Thickening . 629 12.1.8 Skeletonization 630 12.1.9 Pruning 632 12.2 Gray-scale morphology . 634 12.2.1 The point set of a gray-scale image 634 12.2.2 Erosion and dilation . 636 12.2.3 Opening and closing . 641 12.2.4 Edge detection 643 12.3 Bibliography 645 13 Texture Analysis 649 13.1 Types of textures . 652 13.1.1 Structural texture type 653 13.1.2 Structural-statistical texture type 653 13.1.3 Statistical texture type 654 13.2 Visual inspection tasks regarding textures . 655 13.3 Model-based texture analysis 656 13.3.1 Analysis of structural textures 656 13.3.2 Analysis of structural-statistical textures 660 13.3.3 Autoregressive models for analyzing statistical textures . 663 13.3.4 Separation of line textures 666 13.4 Feature-based texture analysis . 671 13.4.1 Basic statistical texture features 672 13.4.2 Co-occurrence matrix 673 13.4.3 Histogram of oriented gradients . 676 13.4.4 Run-length analysis . 677 13.4.5 Laws’ texture energy measures . 678 13.4.6 Local binary patterns 680 13.5 Bibliography 681 14 Detection 685 14.1 Detection of known objects by linear filters . 688 14.1.1 Unknown background 688 14.1.2 White noise as background . 690 14.1.3 Correlated, weakly stationary noise as background 692 14.1.4 Discrete formulation of the matched filter . 693 14.2 Detection of unknown objects (defects) . 697Contents XIX 14.3 Detection of straight lines 699 14.3.1 The Radon transform 699 14.3.1.1 Definition . 699 14.3.1.2 The Fourier slice theorem 702 14.3.1.3 Efficient computation of the Radon transform 703 14.3.2 Detection of line-shaped structures . 706 14.3.2.1 Signal-to-noise ratio (SNR) 706 14.3.2.2 Detection using correlation filters 707 14.3.2.3 Examples of applications . 707 14.3.3 The Hough transform for the detection of lines 710 14.3.4 The Hough transform for the detection of curves . 711 14.3.5 The generalized Hough transform . 714 14.3.6 Implicit shape models 715 14.4 Corner detection . 715 14.5 Bibliography 717 15 Image Pyramids, the Wavelet Transform and Multiresolution Analysis 721 15.1 Image pyramids . 723 15.1.1 Gaussian pyramid 725 15.1.2 Laplacian pyramid 726 15.1.3 Pyramid linking 727 15.2 Wavelets . 728 15.2.1 Continuous wavelet transform 728 15.2.2 Discretization of the wavelet transform . 731 15.3 Multiresolution analysis . 733 15.4 The fast wavelet transform 738 15.5 The two-dimensional wavelet transform . 742 15.6 Scale-invariant features . 744 15.7 Bibliography 749 III Appendix 751 A Mathematical Foundations 753 A.1 The intercept theorem 755 A.2 Inverse problems . 756 A.3 Bibliography 757 B The Fourier Transform 759 B.1 The one-dimensional Fourier transform . 761 B.1.1 Definition . 761 B.1.2 Properties and characteristics . 762 B.1.3 Correspondences 763XX Contents B.2 The n-dimensional Fourier transform 765 B.2.1 Definition . 765 B.2.2 Correspondences of the two-dimensional Fourier transform . 765 B.3 The discrete Fourier transform . 766 List of Symbols 769 List of Abbreviations 785 Index 789 Index Symbols δ-function see Dirac delta function λ4 -plate . 39 4-connected neighborhood . 599 8-connected neighborhood . 599 A aberration . 133 chromatic . 136 Seidel . 133 spherical 133 absorption 67, 77, 172 absorption coefficient . 77 absorption filters .198 absorptivity . 321 achromat 136 active contours 586 activity optical . 37 Airy disk . 57, 423 albedo . 154 aliasing 397 amplitude 27 analog to digital converter . 205 anamorphic 346 angle critical . 75 of aperture 114 of incidence 68, 69 of reflection 68 of refraction 69 angular frequency 29 angular wave number .29 antenna photoconductive 334 anti-aliasing filter . 393, 426 aperture stop 110, 114 apochromat 136 AR model . 663, 697 area sensor 205 astigmatism . 133 autocorrelation function 434, 654, 672 of a stochastic process . 434 autocovariance function of a stochastic process . 435 autofocus sensor . 303 autoregressive model 663, 697 average 672 axis optical 107 B Babinet’s principle . 57, 347 band-pass . 506 band-stop . 506 bandgap . 87, 208 beam splitter 243 dichroic . 216 Beucher gradient 645 bicubic interpolation . 477 bidirectional reflectance distribution function 152 bilateral filter 514 bilinear interpolation 477, 478 binary image 609 binary morphology 609 binomial filter . 501 binomial low-pass . 501 birefringence . 38, 338 black top-hat 642 blackbody 80 bolometer . 217, 335 Boltzmann statistics 209 Boltzmann’s constant . 80 border extraction 623 BRDF 152 bremsstrahlung . 84 Brewster’s angle 74 bundle adjustment . 290 C calculus of variations 589 camera calibration 103, 104, 135 camera coordinate system 101 camera matrix . 104 Canny . 571 Canny operator 629 cardinal sine function . see sinc function CCD camera . 211 central moment 434 central ordinate theorem . 387 cepstrum 660 characteristic function . 451 charge density 25 chroma 185, 196 chromaticity coordinates . 179 chromaticity diagram 181 CIE 173 CIE chromaticity diagram 181 CIE primary light source . 174 CIE XYZ color space . 176 CIELAB color space 184 classification . 557 closing binary morphology . 620 gray-scale morphology 641 clustering 556 CMOS cameras 213 CMYK color space 172, 197 co-occurrence matrix .673 coefficient of reflection 72 coefficient of transmission .72 coherence . 44 coherence length 44, 262, 313, 430 coherence tomography optical 330 coherent 35 color .167 color balance 171 color camera . 215 color difference 188 color filter . 198 color image 10, 199 color matching functions .176 color mixing . 171 additive 171, 181 inner 171 outer . 171 subtractive 172 color order system . 191 color profile . 198 color solid . 186 color stimulus . 170 color temperature 81, 186 color value .174 colorant . 172 colored noise 442 colorimetry 173 coma 133 complement point set 611 complementary colors . 182 component labeling 624 compressed sensing 335 Compton scattering 328 computed tomography see tomography condenser . 138 conductance 25 conduction band . 208 conductivity 76 cone low-pass . 500 cones 167 confocal microscopy . 305 connected component analysis . 624 conservation of energy . 389 constraint filters . 523 contours active . 586 contrast . 48 contrast adjustment 467 converging lens . 108, 112 convolution 381 two-dimensional 406 convolution theorem 386, 406 corner . 715 corner detection . 715 correlation filter 689–691, 707 correlation length 672 correlation matrix . 544, 694 correspondence problem . 286 cos4 law . 160 covariance matrix 456 cross section 86 cross-correlation function 435 of two stochastic processes 435 current density 25 cut .597 graph ~ . 597 minimum ~ . 597 D dark current . 219 dark field illumination . 352 Daubechies filter . 741 Daubechies wavelets .739 daylight . 186 defect detection 655 deflectometry 268 demosaicing . 216 depth of field 117, 295 descriptor . 744 detection 687 photon . 206, 207 detectors balanced 335 DFT . see discrete Fourier transform dielectric 26 dielectric constant .25 dielectrics .25 difference point sets . 611 Difference-of-Gaussians operator 574 differentiation theorem 386Index 791 diffraction 48 diffraction limited 60, 137 diffusion .578 anisotropic 581 homogeneous . 579 inhomogeneous . 580 isotropic 579 linear . 579 nonlinear . 581 diffusion equation .322, 579 diffusion filters 578 diffusion tensor 579 digitization 373 dilation binary morphology . 611 gray-scale morphology 637 Dirac comb . see impulse train Dirac delta function 378 approximation 378 characteristics .379 formulas 380 similarity transformation 380 two-dimensional 408 direct component 388 direction . 581 discrete Fourier transform . 396 two-dimensional 415 discretization of function values 373, 374, 376 disparity .285 dispersion 70, 136 displacement law Wien’s . 81 dissipation 67 distortion 134 distribution 378 DoG . 574 doping . 87, 208 Doppler broadening 84 dye 172 E edge . 563 edge detection . 563 edge potential . 589 eigenvalue problem 456 eight-point algorithm 289 electric field constant 26 electric field strength 25 electric flux density . 25 electrical ballast . 86 electroluminescence .83 electron-hole pair 208 elementary charge . 325 ellipsometry . 234 imaging 237 null . 235 spectroscopic . 239 emission stimulated . 89 thermal 80 emissivity . 321 end effect . 401, 417 energy . 389 energy density . 389 energy flux . 30 energy functional . 587, 594 energy signal 389 entocentric .126 entrance pupil .115, 117 entrance window 115 entropy 459 epipolar geometry . 267 epipolar line . 286 epipolar plane . 286 epipole 287 equilibrium of forces . 590 ergodicity . 437 strict 437 weak . 437 erosion binary morphology . 611 gray-scale morphology 637 Euler’s formula 29, 383 Euler–Lagrange differential equation .590 exit pupil 115 exit window . 115 expansion . 724 expected value 434, 451, 654 of a random variable 451 exponentiation .377 eye 167 F f -number 61, 117 Fabry-Pérot interferometer 91 false-color image 472, 473 far-field diffraction 48 fast Fourier transform see FFT FDM 591 FEM 338, 591 Fermat’s principle . 100 FFT 400 Fick’s law 579 fickle 188792 Index field stop 114 fill factor 213, 219 filter linear . 491 optical 198 filter bank . 733, 738 filter transformations 506 filters based on order statistics . 513 finite difference method 591 finite element method . 338, 591 flatbed scanner 248 flow . 597 maximum ~ 598 flow network 596 fluorescence . 240 fluorescence spectroscopy 240 fluorescent lamp 85 focal length 108 focal ratio 117 focus length . 111 focus series 304 four color process 198 Fourier slice theorem 702 Fourier spectrum 383 Fourier transform 383 central ordinate theorem 387 convolution theorem . 386, 406 differentiation theorem . 386 discrete . 396 linear coordinate transformation 404 linearity 385 modulation property 387 real-valued signals 388 reciprocity 385 reflection . 388 scaling property 385 separation theorem . 403 shift property . 387 fovea 167 fractional power filter 689 Fraunhofer diffraction 48 freespace electrooptic sampling 335 frequency . 29 instantaneous . 281 frequency bandwidth . 44 Fresnel coefficient of reflection 72 Fresnel coefficient of transmission . 72 Fresnel diffraction 48 full well capacity 219 full-frame sensors 213 fundamental law of photometry . 148 fundamental law of radiometry 148 fundamental matrix . 286, 288 G gamma correction . 193, 194 gamut . 193 gas-discharge lamp . 83 Gaussian filter . 500 Gaussian function . 392 Gaussian low-pass . 500 Gaussian optics 108 generalized harmonic analysis . 439 geometric mean filter 523, 538 geometric rectification . 476 Gibbs phenomenon 505 gradient filters . 564 gradient vector flow . 591 gradient-of-Gaussian filter . 570 graph cut methods . 599 Grassmann’s laws . 171 gray-scale image 10 gray-scale morphology 634 groove texture .653, 661 H Haar wavelet 736 halogen lamp . 81 Hann window . 399 Haralick features 675 harmonic analysis . 439 Harris operator 716 HDRC sensor 214 heat equation 322 heat radiation 321 heat transfer 322, 578 heat transfer thermography 322 Heaviside function .380 Helmholtz reciprocity principle 153 high dynamic range CMOS 214 high pressure discharge lamp . 83 high-pass 506 histogram . 467, 672 histogram equalization 470 histogram manipulation . 469 histogram of oriented gradients 676 histogram stretching . 467 hit-or-miss operator 626 HLS color space . 196 hologram 317 holography 317 homocentric . 107 homogeneity . 480, 481, 579 homogeneous coordinates . 102Index 793 homogenization 480, 481, 485 homomorphic filtering 480, 483 honing texture 661, 665, 672 Hotelling transform 455 Hough transform 710 circles .712 curves 711 ellipses . 712 generalized . 714 lines 710, 712 HSI color space 195 HSL color space . 196 HSV color space . 196 hue . 181, 195 hue angle 185 Huygens’ principle . 67 hypercentric . 127 hyperspectral image 10, 602 I ideal modulator . 377 illuminance 148 illusion optical 4 image 9 real . 112 virtual 112 image coordinates . 101 image distance 100, 108 image field curvature 134 image fusion 307, 456 image intensifier . 207 image pyramid see pyramid image restoration 523 for participating media 546 spatially-varying 548 image sensor 205 image sharpening 474 image size . 108 image tube camera . 206 image value .10 imaging optical . 99 telecentric 123 immersion bath 347 implicit shape models 715 impulse correlation 441 impulse response 382 impulse train 392, 393, 397, 410, 411 incandescent lamp 81 index of refraction 68, 331 complex 230 infrared 24, 216, 250 integral image . 747 intensity electromagnetic radiation 30 HSI color space . 195 intercept theorem . 66 interference 46, 309 interference filters . 198 interferometry . 309 interline-transfer sensor 213 interpolation bilinear . 478 pyramid 724 system theory . 479 inverse filter 523, 690 irradiance . 148 isochromate . 341 isocline 341 isolators 25 isotropy . 579 J Jones calculus . 42 Jones matrix 43 Jones vector .43 JPEG standard 195, 197 K Karhunen–Loève transform 455 best linear approximation . 459 invertibility . 457 linearity 457 orthogonality . 457 uncorrelation . 457, 458 zero-mean 457 keypoints 744 Kirchhoff’s law 321 Kronecker delta 467 Kubelka–Munk theory . 173 L label . 624 Lambert–Beer law of absorption . 172, 328 Laplace filter .573 Laplace operator morphological 645 Laplacian-of-Gaussian operator 573 laser 89, 93, 255 laser scanner .246 law of reflection .67 law of refraction Snell’s . 69794 Index Laws matrices . 678 Laws’ texture energy measures .678 LBP . see local binary patterns LED 86 lens 106 concave . 112 convex 112 spherical 108 thick 111 level set method . 595 lidar sensor 308 light bundle . 114 light detection and ranging 308 light field . 152, 291 light quanta .23 light ray 28 light-emitting diode .86 light-field camera 291 line of purples . 181 line potential 589 line scan camera . 602 line textures . 666 line-scan camera 215, 248 line-scan sensor 205 linear coordinate transformation . 404 linear filter .491 linearity .374, 579 local binary patterns 680, 717 local spatial frequency . 281 lock-in thermography 325 LoG . 573 longshot . 121 low pressure discharge lamp 85 low-pass binomial filter .501 Gaussian filter 500 ideal 505 low-pass filter . 496 LSI system . 381 luminance . 147 luminescent material 85 luminescent radiator 80 luminosity function 165 luminous energy .149 luminous exposure 149 luminous flux 145 luminous intensity . 146 luminous paint 241 M macro shot .122 magnetic field constant . 26 magnetic field strength 25 magnetic flux density . 25 magnification 102 magnifiers . 112 magnitude spectrum . 384, 387, 388, 451 marginal ray . 116 matched filter . 690–692 material classification . 230, 557 material sorting . 230, 602 maximum norm . 572 Maxwell vector . 43 Maxwell’s equations 24 mean power . 438 measurement uncertainty 327 median 509 median filter . 509 medium active 90 metameric 170, 187 metamerism 170, 181, 187 metamerism index . 190 micro-channel plate 207 microscope 121, 138 confocal 305 depth of field . 122 microscope image . 122 microwaves . 24 Minkowski addition . 611 Minkowski subtraction 611 mirror 107, 112, 246 semi-transparent 243 modulation property .387 moiré method . 276, 278 moment 434, 451, 672 of a random variable 451 of a stochastic process . 434 monochromatic 174 morphology . 609 moving average . 377, 497 Mueller matrix 36 multiresolution analysis . 723, 733 multispectral image . 10 Mumford–Shah functional . 594 Munsell color order system 191 N Nd:YAG-lasers 91 near-field diffraction 48 nearest neighbor interpolation . 477 negative lenses 112 neighborhood 498, 509, 599 causal .664Index 795 neodymium-YAG-laser . 91 NETD . 217 Nipkow disk .305 noise reduction 491, 509 normal field . 273 normal vector . 67 normalization 467 normalized color values . 179 nth order statistic . 433, 654 numerical aperture 121, 138 Nyquist band 397 O object distance . 108 objective lens 106, 138 ocular . 138 OLED 87 opaque 102 opening binary morphology . 620 gray-scale morphology 641 operator . 374 opponent-process theory .184 optical coherence tomography . 330 optical rectification 334 optical transfer function . 406 optimum filter 690, 691 order of interference . 313 orientation .582 P PAL television color encoding system 197 parallax . 285 parameterized Wiener filter 538 pattern generator 268 penetration depth . 78 periodogram 445 permeability 25 permittivity . 25 perspective 125 entocentric 126 hypercentric 127 telecentric 123, 127 phase spectrum . 384, 388 phase unwrapping .313 phase velocity 27 phase-only filter . 690 phosphorescence 241 phosphorescent paint 241 photoconductive antenna 334 photodiode 207 photoelasticity . 338 photoelectric effect .206 inner 208 photometric base system . 166 photometric stereo . 301 photometry . 145, 165 photomultiplier 206 photon 23, 62 photon energy . 333 photon flux 145 photopic vision 165 picket-fence effect 397 pigment . 172 pinhole camera 100 pixel . 10, 205 Plancherel theorem 389 Planck’s constant 23, 63 Planck’s law 80 plane of incidence .71 plenoptic camera 291 plenoptic function . 152 Poincaré sphere . 35 point sensor . 205, 207 point spread function 406 Poisson distribution .64 polariscope 340 polarization 31, 234 polarization ellipse 32 polarizer 36 population inversion 90 position sensitive detector . 210 positive lens . 112 power spectral density . 438 Poynting vector . 30 primary colors . 173 virtual . 176, 177 principal component analysis 455 principal plane 108, 111 principal ray 110, 116 project execution 15 projection matrix 104 projection moiré . 284 projector . 137 pruning . 632 pseudo-color image . 462, 472 pseudo-edge . 563 pulse thermography . 324 push broom . 249 pyramid . 723 Gaussian 725 Laplacian . 726 pyramid linking . 727796 Index Q quantization 23, 445 equidistant . 448 modeling of the . 453 optimal . 446 quantization frequency 452 quantization mean . 454 quantization noise . 455 quantization theorem . 448, 449, 453 quantizer 446 quantum efficiency 63, 208, 219 quarter-wave plate 39 R radiance . 147 radiant energy . 149 radiant exposure . 149 radiant flux 145 radiant intensity . 146 radiation physics 145 radiative recombination . 84 radiator blackbody . 80, 166 gray-body . 81 thermal 321, 334 radiometry 145 Radon transform .699 random process 432 range images . 10 rank filters . 509 rate of photons 206 Rayleigh criterion . 58 reconstruction problem 285 rectangular function .378, 379 rectangular pulse see rectangular function reduction 724 reflectance Lambertian . 153 specular 154 reflected 67 reflection 388 point set 610 reflectometry 230 refraction . 68 region filling . 624 region growing methods . 562 relaxation . 91 resolution 58, 335 resonator optical . 91 retardation plate 38 retroreflector 298, 300 RGB color space . 193 ringing 505 Roberts operator . 572 rods . 167 Roesch color solid . 186 rotation 404 roughness 60, 155 run-length analysis 677 S sagittal plane 133 salt-and-pepper noise 503 sample function . 432 sampling 393 optimal . 413 sampling theorem . 393 SAR . 705 saturation . 181, 195 scale-invariant feature transform . 744 scaling function 733 scaling property . 385 scattered light .70 scattering . 155, 173 scattering angle 251 Scheimpflug condition 130, 255 schlieren imaging 331 schlieren stop 332 schlieren tomography 331 scintillation 329 scotopic vision . 165 segmentation complete 555 edge-oriented . 562 region-based 556 semiconductor 86 semiconductor element 207 sensor . 205 separation theorem 403 seven-point algorithm . 289 shadow moiré . 283 shape from shading 301 shear 404 shearography 315 shift point set 610 shift invariance 377 shift property 387 shift registers 211 shrinking 404 shutter .213 Siemens star . 426Index 797 SIFT .715, 744 signal . 374, 377 signal energy 389 sinc function . 390 single-pixel camera 338 skeletonization 630 slice function 407 spatially discrete 419 slide projector . 138 snake 587 Sobel filters 572 Sobel operator . 572 solid angle . 145 sorting of bulk goods 352, 602 sorting of materials 352 space-charge region 211 Sparrow’s resolution limit .60 spatial discretization 373–375 spatial scaling . 385 specific electrical conductance .25 speckle . 60 spectral analysis . 439 spectral color 174, 181 spectral filters 198 spectral leakage . 397, 398 spectrometer .185 spectrophotometry 185 spectrum electromagnetic . 23, 167 Fourier . 383 infrared . 217 speeded up robust features 744 sRGB color space 194 stationarity 436 strict 436 weak . 437 Stefan–Boltzmann law 81 step edges . 563 stereo photometric 301 stereo imaging . 285 stochastic process 432 stress tensor . 339 stretching 404 structure from motion . 291 structure tensor . 582, 672 structured illumination 263 structuring element 610 submillimeter band 333 SURF . 715, 744, 746 surrounding . 694 synthesis of textures . 655 synthetic aperture radar . 705 system 374, 377 deterministic 374 hypercentric 127 linear . 374 memoryless .377 non-reactive 374 shift invariant .377 telecentric 124 system characteristics 374 T tangential plane . 133 telecentric . 127 telecentric stop 123 telephoto lens 110 television signals 196 terahertz gap 333 terahertz radiation . see THz radiation termination potential 589 texel . 653 texture .651 anisotropic . 672, 676 classification 655 isotropic 672 parameter estimation . 655 segmentation . 655 separation 655 statistical . 654 structural 653, 656 structural-statistical 653, 660 texture element 653 texture separation . 666 texture type 653 the Schwarz inequality .691 thermal imaging camera . 321 thermal radiator 80 thermographic camera . 216 thermography . 321 thickening . 629 thin lens equation 109 thinning . 627 threshold 557, 698 THz radiation 24, 217, 332 detection 334 generating 334 tilt-shift lens . 132 time of flight . 308 tomography 329, 331, 700 top operation morphology 636 total internal reflection 75798 Index total reflection . 326 transmission 66 transversality 28, 30 triangular function .480 triangulation .255 trifocal tensor 290 trimmed mean filter . 513 tristimulus 170, 173 tristimulus values . 176, 178 tube length 139 two-scale relation . 733, 734 Twyman–Green interferometer .311 U ultraviolet 24, 241 umbra . 636 uncertainty principle .422 unit step function 380 V valence band 208 value 196 variance 434, 654, 672 vector field convolution 593 vector morphology 635 velocity of light 308 Verdet convention 79 video projector . 138, 263, 348, 353 vignetting . 117 visibility 48 visual inspection . 3 W watershed transformation 578 wave harmonic 29 plane . 27, 28 standing . 91 wave equation .26, 76 wave number . 29 wave vector .29 wave–particle duality . 23 wavelength . 29 complementary . 181 dominant . 181 wavelet crime 739 wavelet space 735 wavelet transform . 728 continuous 728 discretization . 731 fast . 738 wavenumber . 77 weak ergodicity 437 weak stationarity 437 white balance 171 white light interferometry . 313, 330 white noise 441 white point 181 white top-hat 642 whitening filter 692, 695 wide-angle lens 110 Wiener filter . 523 parameterized 538 Wiener–Khinchin theorem .438, 439 window function 399 Wollaston prism . 335 X X-ray 241, 325 xenon short-arc lamp . 85 Y YCBCR color space . 197 YIQ color space 197 YUV color space . 197 Z Z-transform . 506 zero padding 417 zoom lens . 110
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