Miguel Heredia Conde aims at finding novel ways to fit the valuable mathematical results of the Compressive Sensing (CS) theory to the specific case of the Photonic Mixer Device (PMD).To this end, methods are presented that take profit of the sparsity of the signals gathered by PMD sensors. In his research, the author reveals that CS enables outstanding tradeoffs between sensing effort and depth error reduction or resolution enhancement.
| Acknowledgement |
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| Abstract |
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| Kurzfassung |
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| Nomenclature |
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xxxiii | |
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1 | (10) |
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1.1 Motivations and Contributions |
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4 | (4) |
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8 | (3) |
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2 Phase-Shift-Based Time-of-Flight Imaging Systems |
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11 | (78) |
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2.1 Introduction to Depth Imaging |
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12 | (11) |
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2.2 Phase-Shift-Based Time-of-Flight Imaging Systems |
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23 | (26) |
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2.3 The Photonic Mixer Device (PMD) |
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49 | (23) |
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2.4 Current Limits of the PMD-Based Time-of-Flight Imaging |
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72 | (17) |
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3 Fundamentals of Compressive Sensing |
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3.1 Introduction to Compressive Sensing |
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89 | (27) |
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116 | (26) |
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142 | (29) |
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171 | (36) |
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4 Compressive Sensing for the Photonic Mixer Device |
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207 | (146) |
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4.1 Introduction and Application Domains |
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207 | (7) |
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4.2 Solving Preliminary Issues |
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214 | (38) |
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4.3 An Accurate Sensing Model: HR Characterization of PMD Pixels |
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252 | (33) |
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4.4 Sparse Recovery in Spatial Domain |
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285 | (33) |
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4.5 Sparse Recovery in Time-Frequency Domain |
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318 | (35) |
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5 CS-PMD: A Compressive Sensing ToF Camera based on the PMD |
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353 | (34) |
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5.1 General System Description |
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353 | (9) |
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362 | (9) |
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5.3 Software: 3D Sparse Recovery from Few Measurements |
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371 | (16) |
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387 | (8) |
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387 | (3) |
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390 | (5) |
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395 | (42) |
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A.1 Cross-Correlation Between Sinusoidal Signals |
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395 | (1) |
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A.2 Cross-Correlation Between Periodic Signals |
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396 | (3) |
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A.3 Phase Shift, Amplitude and Offset Estimation |
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399 | (2) |
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A.4 Depth Measurement Uncertainty |
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401 | (1) |
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A.5 Optical Power Received by a Pixel |
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402 | (3) |
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A.6 Experimental Evaluation of the Delay in the Illumination |
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405 | (9) |
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A.7 Mutual and Matrix Coherences |
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414 | (2) |
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A.8 Adaptive High Dynamic Range: Complementary Material |
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416 | (7) |
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A.9 Inverse Freeman-Tukey Transformation for Poisson Data |
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423 | (2) |
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A.10 Fluorescence Lifetime Microscopy and ToF Imaging |
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425 | (3) |
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A.11 The CS-PMD Camera Prototype |
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428 | (7) |
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A.12 Depth Measurement Uncertainty in the CS-PMD System |
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435 | (2) |
| References |
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437 | (58) |
| Publications |
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495 | (1) |
| First author |
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495 | (1) |
| Coauthor |
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Dr. Miguel Heredia Conde studied industrial engineering with specialization in automation and electronics at the University of Vigo, Spain. He defended his PhD thesis in engineering at the University of Siegen, Faculty of Science and Technology, Germany. There, he is currently head of the research group on compressive sensing for time-of-flight sensors at the Center for Sensor Systems (ZESS).
