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Preface xiii
Acknowledgments xv
Acronyms xvii
1 Past, Present, and Future 1
1.1 Three Revolutions 1
1.2 Computational Imaging 3
1.3 Overview 6
1.4 The Fourth Revolution 8
Problems 9
2 Geometric Imaging 11
2.1 Visibility 11
2.2 Optical Elements 14
2.3 Focal Imaging 22
2.4 Imaging Systems 28
2.5 Pinhole and Coded Aperture Imaging 31
2.6 Projection Tomography 41
2.7 Reference Structure Tomography 47
Problems 50
3 Analysis 55
3.1 Analytical Tools 55
3.2 Fields and Transformations 56
3.3 Fourier Analysis 59
3.4 Transfer Functions and Filter 64
3.5 The Fresnel Transformation 67
3.6 The Whittaker-Shannon Sampling Theorem 72
3.7 Discrete Analysis of Linear Transformations 75
3.8 Multiscale Sampling 79
3.9 B-Splines 89
3.10 Wavelets 96
Problems 100
4 Wave Imaging 103
4.1 Waves and Fields 103
4.2 Wave Model for Optical Fields 104
4.3 Wave Propagation 106
4.4 Diffraction 109
4.5 Wave Analysis of Optical Elements 115
4.6 Wave Propagation Through Thin Lenses 121
4.7 Fourier Analysis of Wave Imaging 124
4.8 Holography 130
Problems 141
5 Detection 147
5.1 The Optoelectronic Interface 147
5.2 Quantum Mechanics of Optical Detection 148
5.3 Optoelectronic Detectors 153
5.3.1 Photoconductive Detectors 153
5.3.2 Photodiodes 159
5.4 Physical Characteristics of Optical Detectors 162
5.5 Noise 165
5.6 Charge-Coupled Devices 170
5.7 Active Pixel Sensors 176
5.8 Infrared Focal Plane Arrays 178
Problems 183
6 Coherence Imaging 187
6.1 Coherence and Spectral Fields 187
6.2 Coherence Propagation 190
6.3 Measuring Coherence 198
6.3.1 Measuring Temporal Coherence 198
6.3.2 Spatial Interferometry201
6.3.3 Rotational Shear Interferometry 204
6.3.4 Focal Interferometry 209
6.4 Fourier Analysis of Coherence Imaging 216
6.4.1 Planar Objects 217
6.4.2 3D Objects 219
6.4.3 The Defocus Transfer Function 224
6.5 Optical Coherence Tomography 227
6.6 Modal Analysis 231
6.6.1 Modes and Fields 231
6.6.2 Modes and Coherence Functions 234
6.6.3 Modal Transformations 236
6.6.4 Modes and Measurement 243
6.7 Radiometry 245
6.7.1 Generalized Radiance 245
6.7.2 The Constant Radiance Theorem 247
Problems 248
7 Sampling 253
7.1 Samples and Pixels 253
7.2 Image Plane Sampling on Electronic Detector Arrays 255
7.3 Color Imaging 268
7.4 Practical Sampling Models 272
7.5 Generalized Sampling 276
7.5.1 Sampling Strategies and Spaces 277
7.5.2 Linear Inference 282
7.5.3 Nonlinear Inference and Group Testing 284
7.5.4 Compressed Sensing 288
Problems 294
8 Coding and Inverse Problems 299
8.1 Coding Taxonomy 299
8.2 Pixel Coding 304
8.2.1 Linear Estimators 305
8.2.2 Hadamard Codes 306
8.3 Convolutional Coding 308
8.4 Implicit Coding 310
8.5 Inverse Problems 319
8.5.1 Convex Optimization 320
8.5.2 Maximum Likelihood Methods 329
Problems 331
9 Spectroscopy 333
9.1 Spectral Measurements 333
9.2 Spatially Dispersive Spectroscopy 337
9.3 Coded Aperture Spectroscopy 341
9.4 Interferometric Spectroscopy 349
9.5 Resonant Spectroscopy 354
9.6 Spectroscopic Filters 364
9.6.1 Volume Holographic Filters 365
9.6.2 Thin-Film Filters 371
9.7 Tunable Filters 380
9.7.1 Liquid Crystal Tunable Filters 381
9.7.2 Acoustooptic Tunable Filters 386
9.8 2D Spectroscopy 389
9.8.1 Coded Apertures and Digital Superresolution 391
9.8.2 Echelle Spectroscopy 393
9.8.3 Multiplex Holograms 398
9.8.4 2D Filter Arrays 401
Problems 403
10 Computational Imaging 407
10.1 Imaging Systems 407
10.2 Depth of Field 408
10.2.1 Optical Extended Depth of Field (EDOF) 410
10.2.2 Digital EDOF 416
10.3 Resolution 424
10.3.1 Bandlimited Functions Sampled over Finite Support 425
10.3.2 Anomalous Diffraction and Nonlinear Detection 439
10.4 Multiaperture Imaging 442
10.4.1 Aperture Scaling and Field of View 443
10.4.2 Digital Superresolution 450
10.4.3 Optical Projection Tomography 459
10.5 Generalized Sampling Revisited 465
10.6 Spectral Imaging 472
10.6.1 Full Data Cube Spectral Imaging 472
10.6.2 Coded Aperture Snapshot Spectral Imaging 479
Problems 487
References 493
Index 505
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