Course schedule
Thursdays 5:00 - 6:50pm, Broadway 715/719, room 1221.
The schedule is tentative and may be adjusted along the way.
- 01/22/09
- Introduction, administrativa
- 01/29/09
- Shape representations in computer graphics: parametric surfaces, subdivision surfaces, implicits, point-based surfaces, polygonal meshes. Related data structures: spatial partitioning, mesh data structures.
- 02/05/09
- Shape acquisition and reconstruction. More on implicit representations, MLS, marching cubes.
- 02/12/09
- Linear algebra tools for geometric modeling: linear least squares, spectral decompositions, PCA.
- 02/19/09
- no class (BIRS workshop)
- 02/26/09
- More on linear algebra tools: SVD (rigid alignments), spectral analysis and PCA (example in animation sequence compression, morphable models). Differential geometry primer: continuous and discrete curves (tangents, normals, curvature, Gauss map, winding number theorem).
- SVD slides: see course materials here
- DDG curves slides: see DDG materials here
- First assignment due
- Second assignment handout: selection GUI, local mesh operations and fitting
- 03/05/09
- Differential geometry: continuous and discrete surfaces. Curvature, Gauss-Bonnet, Laplace-Beltrami operator. Digital geometry processing: simplification, parameterization, smoothing, remeshing, compression.
- Differential geometry of surfaces slides: see DDG materials here
- Digital geometry processing: see DGP materials here
- 03/12/09
- DGP continued and Mesh deformation intro.
- 03/19/09
- Spring break
- 03/26/09
- Surface editing techniques using differential coordinates.
- Differential editing slides
- Second assignment due on 3/27
- 04/02/09
- Sketch-based interfaces for shape creation and editing. Teddy, FiberMesh, SilSketch.
- Sketch-based creation/editing slides
- Tentative project description due
- 04/09/09
- Optimization methods used for shape processing and manipulation. Least squares, direct solvers, iterative methods.
- 04/16/09
- Space deformation techniques: classic FFD, radial basis functions, cage-based approaches and more.
- 04/23/09
- Skeletal deformation
- 04/30/09
- Presentation of final projects. Each presenting student will demo his/her software and show some slides explaining the algorithm implemented, the goal of the project, etc. Total time for each slot: 10 minutes.
- Project report due by 5pm, May 7th.