Fusion of GPS and InSAR data to derive robust 3D deformation maps based on MRF L1-regularization

References

• Aghajany, S. H., B. Voosoghi, and A. Yazdian. 2017. “Estimation of North Tabriz Fault Parameters Using Neural Networks and 3D Tropospherically Corrected Surface Displacement Field.” Geomatics, Natural Hazards and Risk 8 (2): 918–932. doi:10.1080/19475705.2017.1289248.
   Web of Science ®Google Scholar
• Aly, M. H., and E. S. Cochran. 2011. “Spatio-Temporal Evolution of Yellowstone Deformation between 1992 and 2009 from InSAR and GPS Observations.” Bulletin of Volcanology 73: 9. doi:10.1007/s00445-011-0483-y.
   Web of Science ®Google Scholar
• Bloomfield, P. 1982. Least Absolute Deviation Regression. Princeton, N.J: Princeton University Department of Statistics.
   Google Scholar
• Calò, F., F. Ardizzone, R. Castaldo, P. Lollino, P. Tizzani, F. Guzzetti, R. Lanari et al. 2014. “Enhanced Landslide Investigations through Advanced DInSAR Techniques: The Ivancich Case Study, Assisi, Italy.” Remote Sensing of Environment 142 (3): 69–82. doi:10.1016/j.rse.2013.11.003.
   Google Scholar
• Cao, H. 2017. “GPS, InSAR Data Combined Methods for Three-Dimensional Surface Deformation Field.” Master’s thesis, Chang’an University
   Google Scholar
• Chang, W., R. B. Smith, J. Farrell, and C. M. Puskas. 2010. “An Extraordinary Episode of Yellowstone Caldera Uplift, 2004-2010, from GPS and InSAR Observations.” Geophysical Research Letters 37: 23. doi:10.1029/2010gl045451.
   Web of Science ®Google Scholar
• Dodge, Y. 1987. “An Introduction to L1-norm Based Statistical Data Analysis.” Computational Statistics & Data Analysis 5 (4): 239–253. doi:10.1016/0167-9473(87)90048-x.
   Web of Science ®Google Scholar
• Fajfar, I., P. Janez, T. Saso, and B. Árpád. 2011. “On Selection in Differential Evolution.” Elektrotehniski Vestnik/Electrotechnical Review 78 (5): 275–280.
   Google Scholar
• Fu, Y., and J. T. Freymueller. 2012. “Seasonal and Long-Term Vertical Deformation in the Nepal Himalaya Constrained by GPS and GRACE Measurements.” Journal of Geophysical Research: Solid Earth 117: B3. doi:10.1029/2011JB008925.
   Web of Science ®Google Scholar
• Fuhrmann, T., and M. C. Garthwaite. 2019. “Resolving Three-Dimensional Surface Motion with InSAR: Constraints from Multi-Geometry Data Fusion.” Remote Sensing 11 (3): 241. doi:10.3390/rs11030241.
   Web of Science ®Google Scholar
• Fujiwara, S., H. Yarai, T. Kobayashi, Y. Morishita, T. Nakano, B. Miyahara, H. Nakai, et al. 2016. “Small-Displacement Linear Surface Ruptures of the 2016 Kumamoto Earthquake Sequence Detected by ALOS-2 SAR Interferometry”. Earth, Planets and Space 68: 1. doi:10.1186/s40623-016-0534-x.
   Web of Science ®Google Scholar
• Gephart, J. W., and D. W. Forsyth. 1984. “An Improved Method for Determining the Regional Stress Tensor Using Earthquake Focal Mechanism Data: Application to the San Fernando Earthquake Sequence.” Journal of Geophysical Research 89 (B11): 9305. doi:10.1029/JB089iB11p09305.
   Web of Science ®Google Scholar
• Gudmundsson, S., J. M. Carstensen, and F. Sigmundsson. 2002. “Unwrapping Ground Displacement Signals in Satellite Radar Interferograms with Aid of GPS Data and MRF Regularization.” IEEE Transactions on Geoscience and Remote Sensing 40 (8): 1743–1754. doi:10.1109/TGRS.2002.802516.
   Web of Science ®Google Scholar
• Hu, J., Z. Li, J. J. Zhu, X. L. Ding, C. C. Wang, G. C. Feng, and Q. Sun. 2013. “Measuring Three-dimensional Surface Displacements from Combined InSAR and GPS Data Based on BFGS method.” Chinese Journal of Geophysics 56 (1): 117–126. doi:10.6038/cjg20130112.
   Web of Science ®Google Scholar
• Kemp, F. 2003. “The Laplace Distribution and Generalizations: A Revisit with Applications to Communications, Economics, Engineering, and Finance.” Journal of the Royal Statistical Society: Series D (The Statistician) 52 (4): 698–699.
   Google Scholar
• Lin, A., T. Satsukawa, M. Wang, Z. Mohammadi Asl, R. Fueta, and F. Nakajima. 2016. “Coseismic Rupturing Stopped by Aso Volcano during the 2016 M W 7.1 Kumamoto Earthquake, Japan.” Science 354 (6314): 869–874. doi:10.1126/science.aah4629.
   PubMed Web of Science ®Google Scholar
• Mazzotti, S., H. Dragert, R. D. Hyndman, M. Miller, and J. A. Henton. 2002. “GPS Deformation in a Region of High Crustal Seismicity: N. Cascadia Forearc.” Earth and Planetary Science Letters 198 (1–2): 41–48. doi:10.1016/s0012-821x(02)00520-4.
   Web of Science ®Google Scholar
• Mcneil, A. J. 2002. “The Laplace Distribution and Generalizations: A Revisit with Applications to Communications, Economics, Engineering, and Finance.” Journal of the American Statistical Association 97 (460): 1210–1211. doi:10.1198/jasa.2002.s242.
   Google Scholar
• Moore, J. D. P., H. Yu, C. Tang, T. Wang, S. Barbot, D. Peng, S. Masuti, et al. 2017. “Imaging the Distribution of Transient Viscosity after the 2016 M W 7.1 Kumamoto Earthquake.” Science 356 (6334): 163–167. doi:10.1126/science.aal3422.
   PubMed Web of Science ®Google Scholar
• Mora, O., P. Ordoqui, R. Iglesias, and P. Blanco. 2016. “Earthquake Rapid Mapping Using Ascending and Descending Sentinel-1 TOPSAR Interferograms.” Procedia Computer Science 100: 1135–1140. doi:10.1016/j.procs.2016.09.266.
   Google Scholar
• Nobakhti, A., H. Wang, and T. Chai. 2009. “Algorithm for Very Fast Computation of Least Absolute Value Regression.” 2009 American Control Conference, St. Louis, MO, USA.
   Google Scholar
• Pedersen, M. E. H. 2010. “Good Parameters for Differential Evolution.” Technical Report HL1002, Hvass Laboratories.
   Google Scholar
• Samsonov, S., and K. Tiampo. 2006. “Analytical Optimization of a DInSAR and GPS Dataset for Derivation of Three-Dimensional Surface Motion.” IEEE Geoscience and Remote Sensing Letters 3 (1): 107–111. doi:10.1109/lgrs.2005.858483.
   Web of Science ®Google Scholar
• Shi, G. Q., X. F. He, and R. Y. Xiao. 2015. “Acquiring Three-Dimensional Deformation of Kilaueas South Flank from GPS and DInSAR Integration Based on the Ant Colony Optimization.” IEEE Geoscience and Remote Sensing Letters 12 (12): 2506–2510. doi:10.1109/LGRS.2015.2489243.
   Web of Science ®Google Scholar
• Simonetto, E., S. Durand, J. Burdack, L. Polidori, L. Morel, and J. Nicolas-Duroy. 2014. “Combination of INSAR and GNSS Measurements for Ground Displacement Monitoring.” Procedia Technology 16 (2014): 192–198. doi:10.1016/j.protcy.2014.10.083.
   Google Scholar
• Song, X., Y. Jiang, X. Shan, and C. Qu. 2017. “Deriving 3D Coseismic Deformation Field by Combining GPS and InSAR Data Based on the Elastic Dislocation Model.” International Journal of Applied Earth Observation and Geoinformation 57: 104–112. doi:10.1016/j.jag.2016.12.019.
   Web of Science ®Google Scholar
• Storn, R., and K. Price. 1997. “Differential Evolution – A Simple and Efficient Heuristic for Global Optimization over Continuous Spaces.” Journal of Global Optimization 11 (4): 341. doi:10.1023/A:1008202821328.
   Web of Science ®Google Scholar
• Tada, T. 1984. “Spreading of the Okinawa Trough and Its Relation to the Crustal Deformation in Kyusyu.” Zisin 37 (3): 407–415. doi:10.4294/zisin1948.37.3_407.
   Google Scholar
• Zha, X. J., R. S. Fu, and Z. Y. Dai. 2006. “The Sensitivity of DInSAR to Surface Deformation in Different Direction.” Acta Geodaetica et Cartographica Sinica 35 (2): 133–137.
   Google Scholar