曲面光顺及过渡曲面构造方法研究与应用.pdfVIP

Subject : Surface Smoothing and Blend Surface Constructing Methods with its Application Specialty : Computer Software and Theory Name : Chen Youlan (Signature) Instructor : Li Zhanli (Signature) ABSTRACT With the rapid development of CAD/CAM, people bring forward higher requests to the product geometric design. Surface smoothing and blend surface constructing for the product geometric design has been received great attention and extensive research, which has become a research hotspot. This paper mainly focused on the grid surface smoothing algorithm and blend surface constructing method and its application in virtual orthodontics treatment system. On the basis of analysis of the traditional grid smoothing algorithm, a new algorithm based on the feature regions is studied and realized in this paper. Firstly, the grid model is divided into the non-characteristic and characteristic feature regions according to the variation of the normal. Secondly, the normal vector of triangular mesh is adjusted by Laplacian and combining bilateral filtering in feature regions, respectively.Finally, smoothed model is achieved through adjusting the mesh vertices according to the weighted average of the area and angle based on the normal vector adjusting. Experiment result of the dental model shows that the method is effective and feasible. Based on the comparing and analyzing of the basic principle, characteristics, applications, merits and demerits of the typical blend surface construction methods, such as Rolling-ball blends, Partial Differential Equations, Energy method, this paper mainly studied the energy-based method to constr