Through the calculation of curvature and torsion of a common curve of tangential vector of sphere mapping,it was concluded that the sphere mappings of three basic vectors of a cylindrical spiral: tangential vector,major normal vector and secondary normal vector,were all both planar spherical curves and arcs.

Experimental study of the spherical aberrations of traditional intraocular lenses;

Objective To analyze the spherical aberration changes of the eye and anterior surface of cornea for myopia after laser in situ keratomileusis (LASIK) with OPD-SCAN.

Fixture clamps and programme design of spherical surface machined by numerical control lathe;

Study of measuring device of conentricityfor window of spherical surface;

Evolvement model of photoresist spin coating thickness on spherical surface;

Research on Computer Simulation of Machining Sphere by Generating EDM;

An analysis of the intersection of torus/sphere based on coordinate transformation;

The meshing process and mesh quality of sphere double enveloping hourglass worm;

In recent years,a number of data structures for global geo-referenced data sets have been proposed based on regular,multi-resolution partitions of polyhedra and spherical discrete grid is the most promising of such systems.

In this dissertation, a new fully decoupled parallel 2-DOF spherical mechanism is presented and studied in many fields, such as structure, kinematics, statics, workspace, physical model of the solution space and so on.

According to the important role which the optical parts plays in the modern science and technology, the machining methods and corresponding difficult points of spherical and aspherical optical parts are described.