Subsequent, a method for curvature approximation, based on the Delaunay triangulation of a set of points is described. By means of curvature discontinuities, the points are grouped to represent separate surface-patches of the model. As a final step, a special variational design technique can be used to generate the surface. Besides the design and construction of computer shapes, quality analysis methods are getting more and more important. We present reflection lines and generalized focal surfaces as surface interrogation tools.
Geometric objects have a certain topology, both geometry and topology influence the functionality.
The visualization and simulation of vector and tensor fields ifs of central importance in fluid flow applications. We present a visualization technique for higher order singularities and their relationship to the geometry and topology of our designed objects. This method is based upon a Clifford-algebra approach.