Surfaces Parameterization And Applications

Parameterization in various fields of science and engineering has wide range of applications,including the fitting of discrete data,reparameterization spline surfaces and the CAD model repair.Originally developed process parameters of the method,the main driving force is the use of texture mapping in computer graphics to enhance the visual quality polygon models.Later,due to the demand for rapid development of three-dimensional scanning technology and the resulting increasingly complex triangulation efficient compression method,and other applications such as surface approximation remesh have a significant impact on the parameters of future development.Parameterization Surfaces can be viewed as a map to a surface area of the appropriate parameters.Construction of a major parameterized to use computer graphics,graph theory,linear algebra and numerical analysis knowledge,this article specifically create space surface triangulation global parameterization,it is a surface triangulation,which is adjacent vertex Construction of the solution of linear or nonlinear equations obtained convex combination.This paper presents some of the surfaces in the visual approach makes more smooth parametric approach.Based on the master computer graphics and graph theory,based on the first space curve parameterization,mainly Uniform Law chord length method;Secondly spaces non-closed surface parameterization,here it refers to a non-closed surface with a single external border connected space surface;again closed surface parameterization,the main method is based on the triangular structure to retain all vertices will be projected onto the unit sphere can be listed by solving nonlinear equations and spherical geometry knowledge;the last two are compatible curved space affine transformation establishment fragmented to achieve the gradual transition of the source and destination images.