Based on the superior indexes method, this paper applies a kind of fuzzy set method——vertex method in recognizing the preferred active faults considering the uncertainty of the superior indexes values and the fuzzy characteristic of classifying the preferred active faults.

Appling the theory of interval analysis and optimization,an optimization model based on the improved vertex method was developed,by which fuzzy joint membership function of structure system was solved.

As an example, an index method is applied to analyze a float valve tower to determine the variation range of some uncertain parameters.

Based on the improvement of Taubin s discrete curvature estimation method of triangular mesh by the adoption of area and angle weighted triangle vertex normal vector calculation formula and triangle centroid weights, a novel algorithm for triangular mesh regularization is presented.

A new formula for the calculation of mesh vertex normal vector is presented.

A novel formula for the estimation of triangular mesh vertex normal vector is presented.

Research on the Vertex Algorithm Solving Cutting Stock Problem of Patterns with Curving Sides;

Improved vertex algorithm applied in optimal layout of patterns with curving sides;

The vertex normal was introduced in the estimation rule, and an expanded triangle was used to re-render a decimated hole.

It does not produce ideal appearance of a 3DS model by simply averaging normals of the faces sharing a vertex to generate vertex normals.