A triangulated spherical surface model is numerically studied, and it is shown that the model undergoes phase transitions between the smooth phase and the collapsed phase. The model is defined by using a director field, which is assumed to have an interaction with a normal of the surface. The interaction between the directors and the surface maintains the surface shape. The director field is no...

The scroll compressor, using R41 OA that has higher density and works at higher pressure than R22, is required to redesign its geometry such as wrap profile. The design parameters of wrap profile such as base circle radius, wrap height, involute end angle and discharge port have to be well determined to obtain high compressor efficiency. At first, a simulation program has been developed to pred...

We present the fast Spherical Demons algorithm for registering two spherical images. By exploiting spherical vector spline interpolation theory, we show that a large class of regularizers for the modified demons objective function can be efficiently implemented on the sphere using convolution. Based on the one parameter subgroups of diffeomorphisms, the resulting registration is diffeomorphic a...

In this paper, a more computationally convenient singularity condition of the enveloped surface is proposed using theory linear algebra. Its preconditions are only tangential vector enveloping surface, relative velocity vector, and total differential meshing function. It avoids calculating curvature parameters surface. proved that conditions from different references equivalent to each other re...

In practical use, most gears have an involute shape of tooth flanks. However, external some drawbacks, such as unfavourable kinematic conditions at the beginning and end meshing, a limited minimum number teeth, highly loaded convex-convex (i.e., non-conformal) contact. Researchers developed analysed various non-involute forms flanks, but they not been widely accepted. The main reasons are highe...