## VI Hotine-Marussi Symposium on Theoretical and Computational Geodesy: IAG Symposium Wuhan, China 29 May - 2 June, 2006Peiliang Xu, Jingnan Liu, Athanasios Dermanis This volume of proceedings is a collection of refereed papers resulting from the VI Hotine-Marussi Symposium on Theoretical and Computational Geodesy. The papers cover almost every topic of geodesy, including satellite gravity modeling, geodynamics, GPS data processing, statistical estimation and prediction theory, and geodetic inverse problem theory. In addition, particular attention is paid to topics of fundamental importance in the next one or two decades in Earth Science. |

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### Contents

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A Localizing Basis Functions Representation for LowLow Mode SST and Gravity Gradients Observations | 10 |

Gravity Field Modeling on the Basis of GRACE RangeRate Combinations | 17 |

The Torus Approach in Spaceborne Gravimetry | 23 |

Gravity Recovery from Formation Flight Missions | 29 |

GRACE Gravity Model Derived by Energy Integral Method | 35 |

Robust Estimation and Robust ReWeighting in Satellite Gravity Modelling | 43 |

Topographic and Isostatic Reductions for Use in Satellite Gravity Gradiometry | 49 |

ClosedForm ADOP Expressions for SingleFrequency GNSSBased Attitude Determination | 200 |

Safety Monitoring for Dam Construction Crane System with Single Frequency GPS Receiver | 207 |

PPP for LongRange Airborne GPS Kinematic Positioning | 211 |

The Uniform TykhonovPhillips Regularization αweighted ShomBLE and its Application in GPS Rapid Static Positioning | 216 |

Statistical Estimation Methods and Applications | 226 |

Collocation with Integer Trend | 227 |

Multidimensional Statistical Tests for Imprecise Data | 232 |

Multivariate Total Least Squares Adjustment for Empirical Afﬁne Transformations | 238 |

Gravity Change After the First Water Impoundment in the ThreeGorges Reservoir China | 56 |

Continental Water Storage Changes from GRACE LineofSight Range Acceleration Measurements | 62 |

Atmospheric DeAliasing Revisited | 67 |

First Results of the 2005 Seismology Geodesy Monitoring Campaign for Volcanic Crustal Deformation in the Reykjanes Peninsula Iceland | 73 |

The Statistical Analysis of the Eigenspace Components of the Strain Rate Tensor Derived from FinnRef GPS Measurements 19972004 in Fennoscandia | 79 |

GPS Research for Earthquake Studies in India | 88 |

Preliminary Results of Subsidence Measurements in Xian by Differential SAR Interferometry | 94 |

Reference Frame GPS Theory Algorithms and Applications | 99 |

Accuracy Assessment of the ITRF Datum Deﬁnition | 101 |

The ITRF Beyond the Linear Model Choices and Challenges | 111 |

Approach for the Establishment of a Global Vertical Reference Level | 119 |

The Research Challenges of IAG Commission 4 Positioning Applications | 126 |

Integrated Adjustment of LEO and GPS in Precision Orbit Determination | 133 |

ReducedDynamic Precise Orbit Determination Based on Helmert Transformation | 138 |

When and How to Fix or not to Fix? | 143 |

Probabilistic Evaluation of the Integer LeastSquares and Integer Aperture Estimators | 149 |

The Evaluation of the Baselines Quality Based on the Probabilistic Characteristics of the Integer Ambiguity | 155 |

Kinematic GPS Batch Processing a Source for Large Sparse Problems | 160 |

Optimal Recursive LeastSquares Filtering of GPS Pseudorange Measurements | 166 |

A Comparison of Particle Filters for Personal Positioning | 173 |

An Effective Wavelet Method to Detect and Mitigate LowFrequency Multipath Effects | 179 |

Regional Tropospheric Delay Modeling Based on GPS Reference Station Network | 185 |

Research on GPS Receiver Antenna Gain and Signal CarriertoNoise Ratio | 189 |

Optimal Combination of Galileo InterFrequencies | 195 |

Robust DoublekType Ridge Estimation and Its Applications in GPS Rapid Positioning | 243 |

Adaptive Robust Sequential Adjustment | 248 |

Application of Unscented Kalman Filter in Nonlinear Geodetic Problems | 252 |

Order Statistics Filtering for Detecting Outliers in Depth Data along a Sounding Line | 258 |

Stepwise Solutions to Random Field Prediction Problems | 263 |

Maximum Possibility Estimation Method with Application in GPS Ambiguity Resolution | 269 |

Variance Component Estimation by the Method of LeastSquares | 273 |

Noise Characteristics in High Precision GPS Positioning | 280 |

Helmert Variance Component Estimationbased Vondrak Filter and its Application in GPS Multipath Error Mitigation | 287 |

Statistical Analysis of Negative Variance Components in the Estimation of Variance Components | 293 |

A Method to Adjust the Systematic Error along a Sounding Line in an Irregular Net | 297 |

Research on Precise Monitoring Method of Riverbed Evolution | 303 |

Geodetic Boundary Value Problems and Inverse Problem Theory | 310 |

On the Universal Solvability of Classical BoundaryValue Problems of Potential Theory | 311 |

Model Reﬁnements and Numerical Solutions of Weakly Formulated BoundaryValue Problems in Physical Geodesy | 320 |

On an Ellipsoidal Approach to the SingularityFree Gravity Space Theory | 327 |

Local Geoid Modelling From Vertical Deﬂections | 333 |

Monte Carlo Integration for Quasilinear Models | 337 |

Wavelet Evaluation of Inverse Geodetic Problems | 345 |

Correcting the Smoothing Effect of LeastSquares Collocation with a CovarianceAdaptive Optimal Transformation | 350 |

Analytical Downward and Upward Continuation Based on the Method of Domain Decomposition and Local Functions | 356 |

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accuracy ADOP algorithm ambiguity resolution analysis antenna applied approach baseline boundary carrier phase co)variance components coefficients combined computed constraints coordinates covariance matrix defined deformation Delft derived design matrix determination distribution dynamic Earth epoch error estimation evaluation Fennoscandia Figure filter fixed float solution function geodetic geoid Geomatics global GNSS GOCE GRACE gravity field gravity field model integer integer ambiguity integral inverse ionospheric iteration ITRF Journal of Geodesy Kalman Filter kinematic least-squares linear LS-VCE measurements method multipath noise normal normal matrix numerical obtained optimal outliers P.R. China Physical Geodesy positioning potential problem processing pseudorange reference system region residual robust samples satellite sequential adjustment signal simulation smoothing sounding space spherical harmonic statistic stochastic model strain rate success rate Surveying SVPs techniques Teunissen tion transformation unknown parameters values variance components vector velocity VLBI wavelet weight Wuhan Wuhan University