Recovery of a Curved Surface Using a Finite Element Method

Abstract

This paper described a new scheme of 3D object modeling using a finite element method. When designing a curved surface, We need to consider the following processes. First, various regions on a curved surface are transformed into flattened forms. Second, a curved surface is recovered from the flattened form. Third, the corresponding curved surfaces have to be made based on modified flattened shapes. we have already proposed a method to develop any curved surface using the finite element method. In this paper, We deal with recovery of 3D shapes from flattened ones and some additional information. Examples about a body of axial symmetrical revolution and a shoes model are presented as typical and practical applications to illustrate the method that recovers 3D curved surface based on FEM.