In order to satisfy the requirement of high precision in map equiareal projection,the precise forward and inversion formulas of ellipsoid trapezoid area are studied out according to the basic theory.

Discussion on NC Turing method of the ellipsoid surface;

And it pur forward a new type of computing on the ellipsoid surface or deviating from the ellipsoid surface.

This digital terrain model (DTM) based on the ellipsoidal surface is essentially different from DTM based on projected plane because the Delaunay triangulation net is built based on geodesic coordinate system on regional ellipsoidal surface.

In order to overcome the crack,imprecision of geographic analysis and data redundancy caused by the traditional digital elevation model in modeling the large scale terrain, this paper presents a method of global digital elevation modeling based on hierarchical subdivision of the quaternary triangular mesh on ellipsoidal surface.

Projection of spherical grid on ellipsoid and analysis of its deformation;

A study of the spherical aberration of refracted image on the rotational ellipsoid;

Prosthetic modeling for femoral head based on ellipsoid fitting

The reflect focusing theory that spherical continuous wave radiated by point light source is reflected from concave ellipsoidal surface is enucleated, and the axial and lateral optical energy distributions of the reflecting optical wave field are shown up.

The axial and paraxial distribution of the reflecto-focused pulse waveform by a concave ellipsoidal surface for the burst of an exponential-cosine pulse at the first focus have been studied in detail.

For the purpose of analyzing the focused sound field in the electrohydraulic Extracorporeal Shock Wave Lithotripter, a theoretical formula of the reflecto-focused sound field caused by the scattering of spherical continuous wave from the concave ellipsoidal surface has been initially founded.