Research and Simulation on Template Surface Construction and Orthogonal Curvature Extraction

In this paper, face to surface fitting algorithm based on orthogonal curvature is proposed, and then with the help of related theories of differential geometry, the template surface can be constructed based on arc tangent function. Then, the method of extracting curvature on equal arc meshes and the method for numerical solution of nonlinear equations are analyzed. Besides, with the help of computer software technology and computer graphics library technology, a software simulation platform is firstly built, and then the construction of arc tangent rotating surface, the extraction of orthogonal curvature and the 3D rendering of template surface and fitting surface are successfully realized. The operation effect of software simulation platform shows that the construction algorithm of template surface, the extraction algorithm of orthogonal curvatures and the method for numerical approximation can effectively construct template surface and extract orthogonal curvature accurately. These algorithms can provide basic technical support for the simulation and experimental verification of surface fitting algorithm based on orthogonal curvature.