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Nonstationary Least-Squares Collocation [PDF]
Many geodesists worldwide deal with the modelling of functions to approximate or interpolate measured data. For this purpose, a functional model is usually set up and adjusted by parameters so that it fits as precisely as possible to the data. One of the
Korte, Johannes Dietrich Friedrich
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Mathematics, 2020 In regression analysis, oftentimes a linear (or linearized) Gauss-Markov Model (GMM) is used to describe the relationship between certain unknown parameters and measurements taken to learn about them.
Burkhard Schaffrin
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A Least Squares Collocation Method for Accuracy Improvement of Mobile LiDAR Systems
Remote Sensing, 2015 In environments that are hostile to Global Navigation Satellites Systems (GNSS), the precision achieved by a mobile light detection and ranging (LiDAR) system (MLS) can deteriorate into the sub-meter or even the meter range due to errors in the ...
Qingzhou Mao +7 more
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On the uncertainty of height anomaly differences predicted by least-squares collocation
Journal of Geodetic Science, 2020 A network of pointwise available height anomalies, derived from levelling and GPS observations, can be densified by adjusting a gravimetric quasigeoid using least-squares collocation.
Mysen E.
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A model comparison in least squares collocation
Bulletin Géodésique, 1976 In the model equation of least squares collocation there appears a random signal, s', which is of the same physical nature as the observations whereas the signal to be estimated, s, is only linked to the model through its correlation with s'. This Model (
Rummel, R. (Reiner), 1945-
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Volterra Black-Box Models Identification Methods: Direct Collocation vs. Least Squares
MathematicsThe Volterra integral-functional series is the classic approach for nonlinear black box dynamical system modeling. It is widely employed in many domains including radiophysics, aerodynamics, electronic and electrical engineering and many others ...
Denis Sidorov +3 more
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A review of non-stationary spatial methods for geodetic least-squares collocation [PDF]
Journal of Spatial Science, 2010 This paper reviews a field that is herein termed spatial ?non-stationarity?, which is specifically concerned with non-stationarity in the geodetic theory of least-squares collocation (LSC).
W E Featherstone
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Least-squares collocation as a gravitational inverse problem
, 1976 The report compares least-squares collocation methods for determining the earth's gravitational field with goephysical inversion techniques. Both are underdetermined problems with strong structural similarities.
Moritz, Helmut, 1933-
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Modeling of inhomogeneous spatio-temporal signals by least squares collocation
, 2022 Through inverse modeling and adjustment techniques, the geodesists try to derive mathematical models from their measurements to get a better understanding of various processes in the system Earth.
Korte, Johannes +3 more
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The Legendre Galerkin Chebyshev collocation least squares for the elliptic problem
Numerical Methods for Partial Differential Equations, 2016 The Legendre Galerkin Chebyshev Collocation Least Squares for the Elliptic ...
Yonghui Qin, Heping Ma
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