Print Email Facebook Twitter Time Series Analysis of 3D Coordinates Using Nonstochastic Observations Title Time Series Analysis of 3D Coordinates Using Nonstochastic Observations Author Velsink, H. (TU Delft Mathematical Geodesy and Positioning) Date 2016-03-01 Abstract Adjustment and testing of a combination of stochastic and nonstochastic observations is applied to the deformation analysis of a time series of 3D coordinates. Nonstochastic observations are constant values that are treated as if they were observations. They are used to formulate constraints on the unknown parameters of the adjustment problem. Thus they describe deformation patterns. If deformation is absent, the epochs of the time series are supposed to be related via affine, similarity or congruence transformations. S-basis invariant testing of deformation patterns is treated. The model is experimentally validated by showing the procedure for a point set of 3D coordinates, determined from total station measurements during five epochs. The modelling of two patterns, the movement of just one point in several epochs, and of several points, is shown. Full, rank deficient covariance matrices of the 3D coordinates, resulting from free network adjustments of the total station measurements of each epoch, are used in the analysis. Subject 3D CoordinatesFullGeodetic Deformation AnalysisNonstochastic ObservationsS-basis Invariant TestingSingular Covariance MatricesTime Series To reference this document use: http://resolver.tudelft.nl/uuid:c6049c97-c213-4a51-9d9f-bb1069291b7f DOI https://doi.org/10.1515/jag-2015-0027 ISSN 1862-9016 Source Journal of Applied Geodesy, 10 (1), 5-16 Part of collection Institutional Repository Document type journal article Rights © 2016 H. Velsink Files PDF _Journal_of_Applied_Geode ... ations.pdf 2.03 MB Close viewer /islandora/object/uuid:c6049c97-c213-4a51-9d9f-bb1069291b7f/datastream/OBJ/view