Preface |
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xi | |
Acknowledgements |
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xv | |
The Authors |
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xvii | |
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xix | |
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List of Figures and Tables |
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xxiii | |
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PART I Sarcheology: The Era of the Big Radar Mosaics |
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Chapter 1 The Dawn of the SAR Mosaics Era: The ESA-JRC Central Africa Mosaic Project |
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3 | (12) |
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1.1 Radar Mosaics: What and Why |
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3 | (5) |
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1.2 The CAMP Data Processing Machine |
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8 | (1) |
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9 | (4) |
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1.3.1 Radiometric Changes in Time |
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9 | (2) |
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1.3.2 Within Tile Radiometric Changes in range |
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11 | (1) |
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11 | (2) |
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13 | (2) |
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Chapter 2 The L-band Breed: The GRFM Africa Radar Mosaic |
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15 | (16) |
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15 | (2) |
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2.2 The GRFM Africa Processing Chain |
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17 | (2) |
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17 | (1) |
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18 | (1) |
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19 | (6) |
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2.3.1 The Block Adjustment Method |
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19 | (5) |
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2.3.2 Geolocation Validation |
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24 | (1) |
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2.4 Wavelet Multiresolution Decomposition |
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25 | (1) |
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2.4.1 Multiresolution Products |
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26 | (1) |
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2.5 The GRFM Africa Mosaic Second Edition |
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26 | (2) |
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28 | (3) |
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Chapter 3 The GRFM-CAMP Thematic Products |
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31 | (18) |
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3.1 From Backscatter to a Thematic Map |
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31 | (1) |
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32 | (2) |
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3.3 Map Compilation Methods |
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34 | (2) |
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3.4 Complementarity of Radar Sensors |
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36 | (3) |
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39 | (1) |
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3.6 Tour of Relevant Features |
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40 | (6) |
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46 | (3) |
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Chapter 4 Evolution of the Species: The ALOS PALSAR Africa Mosaic |
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49 | (24) |
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49 | (2) |
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4.2 The Mosaic Processing Chain |
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51 | (1) |
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4.3 Correction of Range Dependent Radiometric Bias in Path Images |
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52 | (1) |
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4.4 Correction for Additive Thermal Noise in HV Strip Images |
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53 | (1) |
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4.5 Radiometric Inter-strip Mosaic Balancing |
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53 | (4) |
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57 | (1) |
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4.7 Radiometric Normalization for Topographic Effects |
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58 | (5) |
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4.7.1 Correction of Effective Scattering Area |
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58 | (2) |
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4.7.2 Correction for the Dependence of the Backscattering Coefficient on Incidence Angle |
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60 | (1) |
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4.7.3 Assessment of the Radiometric Correction for Topography |
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61 | (2) |
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4.8 Overview of the Thematic Information Content |
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63 | (6) |
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4.8.1 Comparison with the GRFM Africa Dataset |
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63 | (3) |
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4.8.2 Grass and Woody Savannas |
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66 | (1) |
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66 | (1) |
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67 | (1) |
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67 | (2) |
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69 | (4) |
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PART II Measures of SAR Random Fields in the Scale--Space--Time Domain |
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Chapter 5 The Stuff Backscatter Random Fields Are Made Of |
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73 | (22) |
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73 | (1) |
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74 | (8) |
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5.2.1 An Illustrative Case: Propagation Through A Plane Parallel Medium |
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76 | (6) |
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5.3 The UTA Wave Scattering Model for Layered Vegetation |
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82 | (4) |
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5.4 Backscatter Simulation for a Dense Tropical Primary Rain Forest |
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86 | (6) |
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92 | (3) |
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Chapter 6 Statistical Measures of SAR Random Spatial Fields: Fingerprints of the Forest Structure |
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95 | (78) |
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95 | (1) |
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6.2 Random Fields from Backscatter Observations |
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96 | (7) |
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6.3 Random Fields from InSAR Coherence Observations |
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103 | (1) |
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6.4 Wavelet Based Textural Measures of Random Fields |
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104 | (6) |
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6.5 Connection between Wavelet Space-Scale Analysis and Fourier Spectral Analysis |
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110 | (6) |
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111 | (1) |
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112 | (1) |
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6.5.3 Correlated Surface (Gamma Distributed RCS) with Exponential ACF (Lorentzian Spectrum) |
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112 | (2) |
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6.5.4 Correlated Surface with Exponential Cosine ACF |
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114 | (1) |
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6.5.5 Effects from Coherent Imaging and Illumination Beam Size |
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114 | (1) |
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6.5.6 Cross-correlation between Two Stationary Processes with a Gaussian CCF |
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115 | (1) |
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6.6 Accuracy of Wavelet Variance Estimators |
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116 | (13) |
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6.6.1 Prelude: Probability Density Function of the Wavelet Coefficients of a Speckle Pattern |
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117 | (4) |
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6.6.2 Expected Value and Variance of the Wavelet Variance Estimator |
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121 | (1) |
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6.6.2.1 Uncorrelated Speckle Pattern |
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121 | (5) |
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6.6.2.2 Correlated Speckle |
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126 | (3) |
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6.7 Tools for Textural Analysis of SAR Random Fields |
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129 | (5) |
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6.7.1 A Multi-Voice Discrete Wavelet Transform |
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129 | (3) |
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132 | (2) |
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134 | (1) |
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6.8 WASS Analysis of SAR Backscatter Fields |
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134 | (9) |
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6.8.1 Lowland Rainforest and Swamp Forest Signatures in ERS-1 Data |
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134 | (3) |
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6.8.2 TanDEM-X Signatures in the same Thematic Context |
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137 | (3) |
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6.8.3 Intact and Degraded Forest Detection by Functional Analysis of WASS Signatures |
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140 | (3) |
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6.9 WASS Analysis of InSAR and LiDAR Digital Surface Models |
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143 | (6) |
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6.10 2D Wavelet Variance Spectra of Backscatter Fields: Toward a Textural Classifier |
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149 | (7) |
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6.10.1 A Test Case: Texture-Based Forest Mapping in the Congo Floodplain by ERS-1 Data |
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153 | (1) |
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6.10.2 Floodplain Mapping Revisited by Sentinel-1 data |
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154 | (1) |
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6.10.3 An (Experimental) Wavelet Spectrum Functional Classifier |
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155 | (1) |
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6.11 Extension to Polarimetry |
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156 | (15) |
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6.11.1 The WASP of Correlated Backscatter Textures: A Numerical Model |
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157 | (10) |
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6.11.2 WASP Analysis of a PALSAR Full-Pol Data Set |
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167 | (4) |
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171 | (2) |
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Chapter 7 Hitting Corners: The Lipschitz Regularity, a Measure of Discontinuities in Radar Images Connected with Forest Spatial Distribution |
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173 | (64) |
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173 | (1) |
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7.2 The Lipschitz Condition |
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173 | (3) |
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7.3 Singular Functions and Lip Parameters Estimated by Wavelet Maxima Trajectories in the Scale Domain |
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176 | (18) |
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177 | (2) |
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179 | (3) |
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182 | (3) |
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7.3.4 Smoothed Singularity |
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185 | (3) |
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7.3.5 Non-Isolated Singularities |
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188 | (3) |
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191 | (3) |
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7.4 A Monte Carlo Simulator of Polarimetric SAR Backscatter Discontinuities |
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194 | (3) |
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7.5 Experiments using Simulated Signals |
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197 | (20) |
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7.5.1 Toy Signals with Simple Discontinuities |
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197 | (6) |
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7.5.2 Margin between a Clear-Cut and a Dense Forest |
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203 | (9) |
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7.5.3 Edge on Tilted Terrain |
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212 | (5) |
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7.6 Lipschitz Regularity in Real SAR Data |
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217 | (16) |
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7.6.1 TanDEM-X Backscatter Data |
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217 | (10) |
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7.6.2 TanDEM-X Coherence Data |
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227 | (6) |
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7.7 Image-Wide Representations of Lipschitz Parameters |
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233 | (2) |
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235 | (2) |
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Chapter 8 The Beauty Farm: A Wavelet Method for Edge Preserving Piece-wise Smooth Approximations of Radar Images |
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237 | (18) |
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8.1 The Image Model and a Conceptual View of the Method |
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238 | (1) |
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8.2 The Computational Engine |
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239 | (2) |
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8.3 Problems Related to Multiplicative Speckle Noise |
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241 | (5) |
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8.4 Issues Related to Textural Edges |
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246 | (1) |
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247 | (1) |
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8.6 From Theory to Practice: A Tropical Forest Cover Mapping Exercise Using Smooth Approximations of GRFM SAR Data |
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247 | (6) |
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248 | (1) |
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248 | (1) |
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249 | (1) |
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8.6.2 Test Sites and Thematic Class Definition |
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249 | (1) |
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250 | (3) |
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253 | (2) |
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Chapter 9 The Cleaning Service: A Multi-temporal InSAR Coherence Magnitude Filter |
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255 | (24) |
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255 | (3) |
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258 | (2) |
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9.3 Generation of a Testing Dataset |
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260 | (3) |
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9.4 Test Cases using TanDEM-X Data |
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263 | (11) |
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274 | (3) |
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277 | (2) |
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Chapter 10 Proxies of Forest Volume Loss And Gain by Differencing InSAR DSMs: Fingerprints of Forest Disturbance |
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279 | (36) |
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279 | (2) |
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281 | (1) |
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282 | (1) |
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283 | (9) |
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10.4.1 DSM Difference Data Set Generation and Calibration |
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283 | (1) |
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10.4.2 Object-Based Change Detection |
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284 | (1) |
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10.4.3 Change Objects Refinement |
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285 | (1) |
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10.4.4 Variance of the Within-Object Mean Height Difference Estimator |
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285 | (1) |
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286 | (1) |
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10.4.6 Probability of object detection by statistical decision theory |
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287 | (1) |
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10.4.6.1 Neyman--Pearson approach |
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288 | (1) |
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10.4.6.2 Bayesian Approach |
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289 | (1) |
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290 | (1) |
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10.4.8 Characterization of Objects by Contextual Information |
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291 | (1) |
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10.4.8.1 Distance from Roads |
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291 | (1) |
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10.4.8.2 Attributes by Land Management |
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291 | (1) |
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10.5 Factors Influencing the DSM Change Magnitude |
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292 | (3) |
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10.5.1 Forest Vertical Structure and Spatial Distribution (Forest Density) |
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292 | (1) |
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10.5.2 Environmental Conditions (Seasonality and Rainfall) |
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292 | (1) |
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10.5.3 Dependence on Instrument Parameters |
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292 | (1) |
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293 | (1) |
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10.5.3.2 Volume over Ground |
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294 | (1) |
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295 | (14) |
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10.6.1 ADSM Magnitude and Area Descriptive Statistic |
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295 | (1) |
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10.6.2 Standard Error of the Object Mean |
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296 | (4) |
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300 | (1) |
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10.6.4 Object Detection by Statistical Decision Theory |
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301 | (1) |
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10.6.5 Spatial Location of Objects |
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302 | (1) |
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10.6.6 Objects' Proximity to Roads |
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303 | (1) |
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10.6.7 Change in Objects by Land Management |
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303 | (1) |
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304 | (1) |
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10.6.8.1 Fractal Exponent |
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304 | (2) |
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306 | (2) |
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10.6.8.3 Regular Boundary Shapes in Land Management Units |
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308 | (1) |
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10.7 Comparison between Objects Detected by InSAR ΔDSM and by Optical Imagery |
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309 | (1) |
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310 | (1) |
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311 | (4) |
Appendix |
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315 | (20) |
Index |
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335 | |