Abstract
In the digital design process, surface modeling is required to be as accurate as possible for the effective support of production as well as for numerical performance analysis. This article reviews the geometric modeling techniques, based on non-uniform rational B-spline (NURBS). The NURBS surface can be readily translated into many CAD/CAM packages (Computer Aided Design/Computer Aided Manufacturing), which is more convenient for visualization performance and finite element methods.
Highlights
Surface modeling is the key to integration of design, analysis, manufacturing, and other calculation [3]
Many conventional the 3D coordinates of surface data points, [C] is methods have been proposed in non uniform B-spline (NUB) surface an rxsxnxm matrix of the products of the fitting
Deformation of a NUB surface can be achieved by moving the vertices that define it
Summary
Surface modeling is the key to integration of design, analysis, manufacturing, and other calculation [3]. The main contribution of this research is to use non uniform B-spline (NUB) surface fitting through a GA technique. The second surface generation technique is to approximate the given data points by B-spline algorithm. Let xi and yj be knots value and Bi,j is the vertex point of B-spline for data fitting, and Ni,k(u) and Mj,l(w) are the basis functions. Many conventional the 3D coordinates of surface data points, [C] is methods have been proposed in NUB surface an rxsxnxm matrix of the products of the fitting. In the matrix form of NUB surface point of Eq (2), moving in space with 2 degrees of freedom, u and w, is given by: the matrix inversion gets the ill conditioned problem when determinant close to zero. The matrices inversion is not a solution for irregular given data points. Instead, moving the location of the vertex point using GA is efficient way to improve the surface quality
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