| Introduction | p. 1 |
| Survey of Optical Velocimetry | p. 1 |
| Spatial Filtering Velocimetry | p. 5 |
| The Book | p. 7 |
| Principle and Properties of the Spatial Filtering Method | p. 9 |
| Spatial Filtering Effect | p. 10 |
| Transmittance Functions | p. 13 |
| Power Spectra for Typical Spatial Filters | p. 18 |
| Filtering Characteristics | p. 24 |
| Spectral Bandwidth | p. 25 |
| Central Frequency | p. 27 |
| Direction of Grating Lines | p. 29 |
| Parameters of the Spatial Filter | p. 31 |
| Transmittance Function | p. 32 |
| Filter Window | p. 32 |
| Intervals of Grating Lines | p. 33 |
| Number of Grating Lines | p. 33 |
| Effects of Scattering Objects | p. 33 |
| Deviation of the Central Frequency | p. 34 |
| Visibility of Output Signals | p. 35 |
| Light Scattering by Spherical Particles | p. 40 |
| Requirements for Scattering Objects | p. 41 |
| Small Particles | p. 42 |
| Rough Surfaces | p. 44 |
| Speckle Pattern | p. 45 |
| Optical System | p. 47 |
| Resolution of Imaging Systems | p. 47 |
| Point Spread | p. 48 |
| Transfer Function | p. 51 |
| Lens Aberrations | p. 56 |
| Primary Aberrations | p. 57 |
| Chromatic Aberrations | p. 58 |
| Focusing Depth and Probe Volume | p. 60 |
| Depth of Focus | p. 60 |
| Probe Volume | p. 61 |
| Illumination | p. 63 |
| Small Particles in a Fluid | p. 63 |
| Rough Surfaces | p. 65 |
| Coherent and Incoherent Illumination | p. 65 |
| Image Modification | p. 66 |
| Spatial Frequency Filtering | p. 66 |
| Photographic Filters | p. 68 |
| Signal Analysis | p. 69 |
| Types of SFV Signals | p. 69 |
| Spectral Analysis | p. 71 |
| Frequency Scanning | p. 71 |
| Filter Bank | p. 72 |
| Fast Fourier Transform | p. 72 |
| Maximum Entropy Method | p. 74 |
| Frequency Tracking | p. 75 |
| Frequency Tracker | p. 75 |
| Autodyne | p. 76 |
| Counting Techniques | p. 77 |
| Frequency Counter | p. 77 |
| Wave-Period Measurements | p. 78 |
| Correlation Analysis | p. 80 |
| Autocorrelation of Photocurrent Signals | p. 81 |
| Fast Fourier Transform | p. 83 |
| Photon Correlation Technique | p. 83 |
| Choice of the Signal-Analyzing Technique | p. 85 |
| Spatial Filtering Devices and Systems | p. 87 |
| Transmission Grating | p. 87 |
| Transmission Grating Velocimetry | p. 88 |
| Differential Detection for Pedestal Removal | p. 89 |
| Directional Discrimination - Frequency Shifting | p. 94 |
| Directional Discrimination - Phase Shifting | p. 97 |
| Two-Dimensional Measurements | p. 100 |
| Prism Grating | p. 104 |
| Two-Stage Type | p. 104 |
| Three-Stage Type | p. 105 |
| Mirror Grating | p. 107 |
| Lenticular Grating | p. 107 |
| Lenticular Grating Velocimeter | p. 108 |
| Directional Discrimination | p. 110 |
| Two-Dimensional Measurements | p. 112 |
| Optical Fiber Array | p. 113 |
| Optical Fiber Array SFV | p. 114 |
| Directional Discrimination and Two-Dimensional Measurements | p. 116 |
| Liquid Crystal Cell Array | p. 117 |
| Liquid Crystal Spatial Filter | p. 118 |
| Piled Construction for Velocity-Vector Measurements | p. 119 |
| Integrated Solar Cell Array | p. 120 |
| One-Dimensional Array | p. 120 |
| Two-Dimensional Array | p. 123 |
| Line Sensor | p. 124 |
| Linear Photodiode Array | p. 124 |
| CCD Line Sensor | p. 126 |
| Area Sensor and Video Camera | p. 127 |
| Image Sensor with Electronic Circuits | p. 127 |
| Computer Image Processing | p. 133 |
| Survey of Spatial Filtering Devices | p. 135 |
| Applications | p. 139 |
| Performance | p. 139 |
| Accuracy | p. 140 |
| Linearity | p. 142 |
| Resolution | p. 142 |
| Measurements of Flow Velocity | p. 143 |
| Transmission Grating Velocimeter for a Microscopic Region | p. 143 |
| Two-Dimensional Vector Velocimeter | p. 147 |
| Blood Flow Velocity | p. 148 |
| Applications to Fluid Mechanics | p. 149 |
| Flow Velocity Gradient | p. 151 |
| Measurements on Large Scales | p. 153 |
| River Flows | p. 153 |
| Debris Flows | p. 154 |
| Aircraft | p. 154 |
| Vehicle | p. 155 |
| Common Objects | p. 158 |
| Potential Applications and Speckle Velocimetry | p. 158 |
| Production Process | p. 159 |
| Rain and Snow | p. 160 |
| Micromachines and Biological Samples | p. 160 |
| Laser Speckle Velocimeter | p. 161 |
| Derivative Measurements | p. 163 |
| Particle Sizing | p. 163 |
| Focus Detection | p. 164 |
| Distance Measurement | p. 165 |
| Displacement Sensing by Speckle | p. 167 |
| Related Techniques | p. 167 |
| Grating Illumination | p. 167 |
| Double-Exposure Specklegram | p. 168 |
| Diode Array Velocimetry | p. 169 |
| Random Pattern Velocimetry | p. 170 |
| Brief Comparison with Laser Doppler Velocimetry | p. 170 |
| Fourier Analysis | p. 173 |
| Fourier Series | p. 173 |
| Fourier Transform | p. 174 |
| Two-Dimensional Expression | p. 175 |
| Fourier Transform Theorems | p. 175 |
| Examples of Fourier Transform Pairs | p. 177 |
| Power Spectral Density of the Signal | p. 179 |
| Derivation of (2.12) | p. 181 |
| Derivation of (2.20) and (2.21) | p. 183 |
| Power Spectra for Spatial Filters in Sect. 2.3 | p. 185 |
| Derivation of (2.24) | p. 185 |
| Derivation of (2.30) | p. 186 |
| Derivation of (2.34) | p. 188 |
| Derivation of (2.45) | p. 191 |
| One-Dimensional Power Spectrum of the Signal | p. 195 |
| Derivation of Output Signals for Visibility Analysis | p. 197 |
| Derivation of (2.55) | p. 197 |
| Derivation of (2.59) | p. 198 |
| References | p. 201 |
| Index | p. 207 |
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