1)School of Geology Engineering and Geomatics, Chang’an University, Xi’an 7100542)Xi’an Research Institute of Surveying and Mapping, Xi’an 710054 3)Department of Applied Foreign Language Studies,Nanjing University,Nanjing 210093
Abstract Collocation is usually applied to deal with the parameter estimation, which contains the trend parameters and stochastic parameters. A more general collocation method is proposed, in which not only the two quadratic forms of residuals and signals are minimized, but also some geometrical or physical constraints must be satisfied. The collocation estimators, with stochastic signal constraints, trend parameter constraints, as well as the synthetic constraints of signals and trend parameters, are derived based on the standard collocation derivation process. An example of error correcting for a scanning map is given. It is shown that the collocation with constraints can not only improve the accuracy of scanning maps, but also satisfy the condition of map joint.
