The Software System Of The Triangle Meshes Automatic Generation For Surfaces Based On FGT

comparing various methods of the curved surface triangle mesh automatic generation through reading the massive papers, it produces a method of the curved surface triangle mesh automatic generation. This method with direct approach for foundation, namely the curved surface triangle mesh automatic generation is direct to carry on in the physics space of the curved surface, making use of the mesh to Advancing Front Generation Technique at the same time, taking into account the project actual complex curved surface produced by the B curved surfaces from splicing, the paper choosing the single sheet B curved surface as a curved surface mesh generation target, carries on the triangle mesh to B curved surface and various parameter curved surface automatic generation. For making use of FGT method and generating the curved surface triangle mesh, the algorithm with that it generates the triangles to all possible cases in geometric topology features were carried on the researching. Using the solution nonlinear equation's Broyden method with which we can find the third point effectively if we know triangle's two points, carries on the solution of the triangle in the curved surface grid automatic generation process. This text was born to carry on the mathematical analysis, the theory about the research, the programming, the experimental design to the equilateral triangle mesh generation of B curved surface research and deal with the triangle mesh generation process's some peculiar cases at the same time. Making use of the textual method, make into the software system of the curved surface triangle mesh automatic generation and using this system to the curved surface of the different control points mesh the automatic generation carrys on the experiment.