Virtual Observation Iteration Solution and A-Optimal Design Method for Ill-Posed Mixed Additive and Multiplicative Random Error Model in Geodetic Measurement

AbstractThe mixed additive and multiplicative random error model is a combination of the additive error random model and multiplicative random error model. Weakness is an attribute of the mixed add...

[1]  Luca Pipia,et al.  Forest parameter estimation in the Pol-InSAR context employing the multiplicative–additive speckle noise model , 2011 .

[2]  Gene H. Golub,et al.  An analysis of the total least squares problem , 1980, Milestones in Matrix Computation.

[3]  E. Rodríguez,et al.  A Global Assessment of the SRTM Performance , 2006 .

[4]  Peiliang Xu,et al.  Despeckling SAR-type multiplicative noise , 1999 .

[5]  A. Amiri-Simkooei,et al.  Non-negative least-squares variance component estimation with application to GPS time series , 2016, Journal of Geodesy.

[6]  Gene H. Golub,et al.  Generalized cross-validation as a method for choosing a good ridge parameter , 1979, Milestones in Matrix Computation.

[7]  Leyang Wang,et al.  Variance component estimation for partial errors-in-variables models , 2015, Studia Geophysica et Geodaetica.

[8]  Gene H. Golub,et al.  Tikhonov Regularization and Total Least Squares , 1999, SIAM J. Matrix Anal. Appl..

[9]  Chuang Shi,et al.  Adjustment of geodetic measurements with mixed multiplicative and additive random errors , 2013, Journal of Geodesy.

[10]  Peter Lutzmann,et al.  Lidar frequency modulation vibrometry in the presence of speckle. , 2003, Applied optics.

[11]  Per Christian Hansen,et al.  Analysis of Discrete Ill-Posed Problems by Means of the L-Curve , 1992, SIAM Rev..

[12]  David B. Kidner,et al.  The Use of LiDAR in Digital Surface Modelling: Issues and Errors , 2009, Trans. GIS.

[13]  John B. Ferris,et al.  Interpolation methods for high-fidelity three-dimensional terrain surfaces , 2010 .

[14]  Yun Shi,et al.  Adjustment of Measurements with Multiplicative Errors: Error Analysis, Estimates of the Variance of Unit Weight, and Effect on Volume Estimation from LiDAR-Type Digital Elevation Models , 2014, Sensors.

[15]  Erik W. Grafarend,et al.  The Uniform Tykhonov-Phillips Regularization (α-weighted S-homBLE) and its Application in GPS Rapid Static Positioning , 2008 .

[16]  Peiliang Xu,et al.  Variance Component Estimation in Linear Inverse Ill-posed Models , 2006 .

[17]  P. Teunissen,et al.  Least-squares variance component estimation , 2008 .

[18]  Norbert Pfeifer,et al.  Repetitive interpolation: A robust algorithm for DTM generation from Aerial Laser Scanner Data in forested terrain☆ , 2007 .

[19]  Leyang Wang,et al.  Virtual Observation Method and Precision Estimation for Ill-Posed Partial EIV Model , 2019 .

[20]  Leonid Petrov,et al.  Precise geodesy with the Very Long Baseline Array , 2008, 0806.0167.

[21]  M. J. Box.  Bias in Nonlinear Estimation , 1971 .

[22]  Peiliang Xu,et al.  Least squares parameter estimation in multiplicative noise models , 2000 .

[23]  Bofeng Li,et al.  Bias-corrected regularized solution to inverse ill-posed models , 2012, Journal of Geodesy.

[24]  Ilias N. Tziavos,et al.  Assessing Digital Elevation Model Uncertainty Using GPS Survey Data , 2016 .

[25]  G. Fotopoulos,et al.  On the impact of a refined stochastic model for airborne LiDAR measurements , 2016 .

[26]  Georgia Fotopoulos,et al.  Calibration of geoid error models via a combined adjustment of ellipsoidal, orthometric and gravimetric geoid height data , 2005 .

[27]  C. Hladik,et al.  Accuracy assessment and correction of a LIDAR-derived salt marsh digital elevation model , 2012 .

[28]  Junhuan Peng,et al.  An overview of adjustment methods for mixed additive and multiplicative random error models , 2015 .

[29]  Erik W. Grafarend,et al.  The A-optimal regularization parameter in uniform Tykhonov-Phillips regularization — α-weighted BLE- , 2004 .

[30]  Leyang Wang,et al.  A-optimal design method to determine the regularization parameter of coseismic slip distribution inversion , 2020 .

[31]  Yun Shi,et al.  Adjustment of Measurements With Multiplicative Random Errors and Trends , 2021, IEEE Geoscience and Remote Sensing Letters.

[32]  Peter F. MacDoran,et al.  Satellite emission radio interferometric earth surveying series—GPS geodetic system , 1979 .

[33]  Clair E. Ewing,et al.  Introduction to geodesy , 1970 .

[34]  Georgia Fotopoulos,et al.  Assessment of SRTM, ICESat, and Survey Control Monument Elevations in Canada , 2007 .

[35]  David A. Seal,et al.  The Shuttle Radar Topography Mission , 2007 .

[36]  J. Hartung.  Nonnegative Minimum Biased Invariant Estimation in Variance Component Models , 1981 .

[37]  J. Kusche,et al.  Regularization of geopotential determination from satellite data by variance components , 2002 .

[38]  Peiliang Xu.  Truncated SVD methods for discrete linear ill-posed problems , 1998 .

[39]  Peiliang Xu,et al.  Comparing the estimates of the variance of unit weight in multiplicative error models , 2015, Acta Geodaetica et Geophysica.