Delaunay-triangulation (1 project):

Schulze, Daniel, Rolly, Jordan (hyperbolic)

• In the plane
• 3D-Mesh
• spherical
• hyperbolic (Thilo)

Facet-Edge-Datastructure (1 project):

Doerr, Bremer

• Create standard modelling operations like
  • split Vertex/Edge/Face/Tet
  • remove and fill Vertex/Edge/Face/Tet
  • etc.
• http://books.google.de/books?id=lFOQEr-L9pMC&pg=PA121&lpg=PA121&dq=facet+edge+data+structure&source=bl&ots=qzAbjjAUde&sig=_0mJfOSIlMGPGg2JXxKsYeZk3TQ&hl=de&sa=X&ei=nCGGVKC7G8joUsCggfgP&ved=0CHEQ6AEwCw#v=onepage&q=facet%20edge%20data%20structure&f=false

Delaunay-tetrahedralization (1 project):

Wegener, Stoehr, Till, Wang (Amira)

• Create a tetmesh out of a triangle mesh
• based on facet-edge datastructure
• http://gclab.kaist.ac.kr/publications/S02.pdf
• http://www.cs.berkeley.edu/~jrs/papers/cdtbasic.pdf

Subdivision (4-5 projects):

• http://apc.dcti.iscte.pt/praticas/Springer-Verlag%20Curves%20and%20Surfaces%20for%20Computer%20Graphics.pdf

Buecher, Weingarten, Eisenhardt

• Boundary (3 out of 4):
  • sqrt3: https://www.graphics.rwth-aachen.de/media/papers/sqrt31.pdf
  • catmull clark: check out bezier curves
  • loop: b-splines
  • doo sabin: (b-splines?)

Nobody

• Symmetric:
  • Translation (3 out of 4)
  • Reflection (3 out of 4)

Betac, Schroeder

• Subdivision by Using the GPU (only one Algorithm in the Paper)

Splines (1 project):

Cassina

• Bezier-curves (linear/quadratic/cubic)
• Bezier-Surfaces
• B-Splines
• B-Splines-Surfaces
• http://apc.dcti.iscte.pt/praticas/Springer-Verlag%20Curves%20and%20Surfaces%20for%20Computer%20Graphics.pdf

Spherical (1 project):

Schikora, Machner

• spherical splines
• spherical subdivision

Hyperbolic (1 project):

• hyperbolic splines
• hyperbolic subdivision

position based dynamic:

Krah, Padilla, Alraai