Some Topics of Complicated Surfaces Modeling and their Applications

In this paper, some basic topics of 3D digital mode lings will be considered. The first topic is the study of a new kind of basis of the fundamental group of a 2-manifold and the new basis is used to construct quasi-regular quadrangulations. Second, we present a new parameterization method for quadrangulations. Finally, the achievements of this paper are used in 3D human body modeling. The experimental results show that the method presented in this paper can quickly changes the key portions of the human body and can efficiently control the changing within the expected scope as well. On top of that, the shape of the deformed human body is fairingly kept when changing.