Space Of Scattered Data Set Triangle B¨¦ Zier Surface Approximation Method

In the surface reconstruct,triangle net is not only the basis.but also plays an important role throught all stages of reverse engineering.Research on the techniques relative with triangle net construction and application has great significance to the development of surface reconstruction.This article introduce many methods of triangle net and propose approximate Delaunay triangle net,which can be used in arbitrary surface and has got good effect in case. Surface fitting is of importance in surface reconstruction, including interpolation and approximate.This article mainly introduce the method of based on triangular Bezier surface,at the same time,a advanced method is put forward to deal with the problem which exists in steep surface approximate, and this algorithm can been proved effective. In data experiment,the data is given to show the error between the real and approximate surface and the picture of effect is also given.All of the algorithms and techniques presented in this paper have been realized and verified in TurboCand Matlab6.0.