7 Results and Applications

In this chapter, the techniques presented in the previous chapters are used for templated mesh generation benchmarks of synthetic as well as real-world objects are presented. The benchmark setup is presented in Section 7.1. Objects with reflective symmetries and rotational symmetries are covered in Section 7.2 and Section 7.3, respectively. Results for objects with general similarities are covered in Section 7.4. Section 7.5 presents an investigation of a FEM-based symmetry analysis of the five-pointed star, which will be referred to as Gummel Star. Memory and runtime benefits in FEM applications are discussed in Section 7.6.