Three-dimensional Coordinate Transformation with Consideration of Coordinate Errors in Two Coordinate Systems

The paper presents a new coordinate transformation model with a consideration of the coordinate errors in both coordinate systems.The computation formulae of transformation parameters are derived based on the minimization of weighted sum of coordinate corrections in two systems.In addition,the coordinate corrections of transformed points are computed according to the covariance matrix of coordinates between public and transformed points with the least-squares collocation method.The experiments show that the new model can significantly improve the precision of the coordinate transformation especially in case that the strong correlation exists between public and transformed coordinates.