List of things you should know/read

# Papers

A list of interesting papers that are worth reading when learning for the exam

- Horn: Quaternion Paper (Link?)
- Kobbelt: Mesh fairing
- Kobbelt: Sqrt3 Subdivision
- Kobbelt: Extended Marching Cubes
- Kobbelt: A general framework for mesh decimation (1998)
- Botsch,Kobbelt: All the splatting papers
- Alliez, Desbrun: Valence-Driven connectivity encoding for 3D meshes (the pictures explain the algorithm very good)

# Important mathematical derivations

Things you should be able to derive in your exam (at least it would most likely give you a bonus point):

- How to formalize and solve the least squares plane fitting problem in the volumetric reconstruction.
- How to formalize and solve the least squares rotation problem in ICP.
- How to formalize and solve the least squares quadratic error function problem in EMC.
- How to formalize and solve the least squares point from a equation of combined fundamental error quadrics.
- How the eigenanalysis of the smoothing operator works
- How to derive from the LSCM Riemann-Cauchy objective cost function the new objective function, and how it can be solved.
- How can the Monte Carlo integration be derived
- How to refract a ray using Snell's law (and why it is the way it is).
- How to derive the surface stretch measure (paramerterization).
- How to intersect a ray with an implicit function which is defined by a quadric (e.g. a sphere).

page revision: 8, last edited: 06 Oct 2007 16:37