Shape Deformations Based on Vector Fields

I am grateful to Prof. Dr. Hans-Peter Seidel, whose Geometric Modeling lec-ture was in fact the motivation to carry out my diploma thesis and finally my PhD within his computer graphics group at the MPI Informatik. He gave me the oppor-tunity to work on many interesting projects in a pleasing research environment. I would like to thank Prof. Dr. Holger Theisel who mentored me during my research. This thesis wouldn’t have been possible without his continuing support and motivation. I also thank Dr. Tino Weinkauf for the good collaboration, as well as the members of the MPI computer graphics group for their advise and ideas. Finally, I thank my beloved wife Sarah for her interest in my work and for moti-vating me in hard times. This thesis explores applications of vector field processing to shape deformations. We present a novel method to construct divergence-free vector fields which are used to deform shapes by vector field integration (Chapter 2). The resulting de