Projection of spherical grid on ellipsoid and analysis of its deformation

Spherical discrete grid data model is the essential way of massive data management.Instead of ellipsoid,almost all kinds of grids are based on sphere at present.And they do not meet the high precision need of many applications.To solve this problem,the paper establishes several corresponding relationships between sphere space and ellipsoid space by which the grids are projected from the formal to the latter.Also,the paper analyses the distributions and rules of deformation with the result of experiment.