High Accuracy Surface Modeling and Spatial Real-time Simulation
高精度曲面建模与实时空间模拟

HASM5 is developed in the context that the current generation of geographical information system(GIS) is difficult to realize real-time simulation.HASM5 is developed on the basis of QR decomposition and the spatial real-time simulation is realized by dynamically adding information points and reducing information points.The QR decomposition method is used to transform the matrix of HASM4 into two algebra equations including two coefficient matrixes that are respectively one upper triangular matrix and one lower triangular matrix.Numerical tests show that the spatial real-time simulation by dynamically adding information points only needs to conduct the matrix decomposition to the matrix formed by adding information points.The spatial real-time simulation by dynamically reducing information points only needs to calculate sub-matrix of the matrix before reducing information points.