Surface Reconstruction In Reverse Engineering Parameterized

Surface reverse engineering is a process that creates the geometry models based on the data of real objects and has become an independent and hot field recently. Reverse engineering can be divided into two sub fields; one is involved in sample data obtaining technology, another is involved in surface reconstruction technology. Data obtaining technology is concerned about how to get the points data from the object surfaces, which provide the probability of dealing with the complicated surfaces. Surface reconstruction technology is concerned about how to build the geometry model based on the unorganized 3D data Surface reconstruction methods include reconstruction with smooth surfaces and reconstruction with discrete surfaces.The content of this thesis include the introduction of the reverse engineer especially in surface reconstruction aspect, the methods of surface parameterization, and the application of parameterization used in his works.Surface parameterization is a mathematical method, which maps the surface triangulation into the polygon in a 2D space, and one to one correspondence is granted. It is a fundamental tool of the surface process such as surface texturing, remeshing, transforming, and fitting etc. As for reverse engineer. Parameterization acts as an indispensable roll in the stages of spline surface fitting and splicing, surface multisolution and subdivision modeling, quadrilateral tiles generation, and mesh optimization and simplification, and remeshing etc.