| 1.4. |
Introduction
Foundations of Differential Geometry 1
- Parametric curves and surfaces
- Curvature and arc length parametrization
|
| 8.4. |
Foundations of Differential Geometry 2
- Surfaces: first and second order fundamental forms
- Mean and Gaussian curvature
- Transfinite modeling methods
|
| 15.4. |
Polynomial Curves and Surfaces 1
- Bézier Curves
- B-Spline Curves
|
| 22.4. |
Polynomial Curves and Surfaces 2
- NURBS
- Tensor Product Surfaces
|
| 29.4. |
Polynomial Curves and Surfaces 3
|
| 6.5. |
Triangle Meshes 1
- Introduction and overview
- Datastructures for triangle meshes
- Progressive meshes
|
| 13.5. |
Triangle Meshes 2
|
| 20.5. |
Auffahrt
|
| 27.5. |
Surface Representations using Point Clouds 1
- Point Primitives in Computer Graphics
- Point set surfaces
- Parametrization of point clouds
- Simplification
- Spectral processing
- Rendering
|
| 3.6. |
Surface Representations using Point Clouds 2
- Symposium on Point-Based Graphics
- Case Study: Pointshop3D
|
| 10.6. |
Subdivision Surfaces
- Indroduction
- Doo-Sabin scheme
- Catmull-Clark scheme
- Loop scheme
- Butterfly scheme
- Mathematical analysis of subdivision
|
| 17.6. |
Surface Processing 1
- Laplacian operator and spectral analysis
- Mesh fairing and signal processing
|
| 24.6. |
Surface Processing 2
- Non-manifold mesh processing
- Mesh feature extraction
|
| 1.7. |
Wavelets
- Mathematical foundations
- Haar wavelets
- Multiresolution B-splines
- B-spline wavelets
- Surface representations using wavelets
- Applications
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