Publications Repository - Gdańsk University of Technology

NURBS surfaces are the most widely used surfaces for three-dimensional models in CAD/CAE programs. As a model for FEM calculation is prepared with a CAD program it is inevitable to mesh it finally. There are many algorithms for meshing planar regions. Some of them may be used for meshing surfaces but it is necessary to take the curvature of the surface under consideration to avoid poor quality mesh. The mesh must be denser in the curved regions of the surface. Instead of analysing a surface curvature, the method to assess how close is a mesh triangle to the surface to which its vertices belong is presented in this paper. The distance between a mesh triangle and a parallel tangent plane through a point on a surface is the measure of the triangle quality. Finding the surface point which projection is located inside the mesh triangle and which is the tangency point to the plane parallel to this triangle is an optimization problem. Mathematic description and the algorithm to find the solution are presented in the paper.

Authors

• dr inż. Aleksander Kniat link open in new tab