Computer Graphics Laboratory

Surface Representations and Geometric Modeling (SS 06) - Schedule

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The following preliminary schedule gives an overview of the topics covered in the course. The first five lectures will be held by Prof. Gross, the remainder of the course will be thought by Prof. Pauly.

Schedule

6.4. Introduction
Differential Geometry I
  • Parametric curves
  • Curvature and arc length parametrization
13.4. Polynomial Curves
  • Bezier curves
  • B-Spline curves
20.4. Differential Geometry II
Surfaces I
  • First and second fundamental forms
  • Mean and Gaussian curvature
  • Tensor product surfaces
27.4. Polynomial Surfaces II
  • NURBS
4.5. Triangle Meshes I
  • Basics
  • Data structures
  • Mesh decimation I
11.5. Triangle Meshes II
  • Mesh decimation II
  • Discrete differential operators
  • Mesh smoothing: signal processing, curvature flow, energy minimization
18.5. Triangle Meshes III
  • Mesh parameterization
  • re-meshing
25.5. Auffahrt
 
1.6. Subdivision Surfaces I
  • Basics
  • Subdivision schemes
8.6. Subdivision Surfaces II
  • Analysis
  • Adaptive subdivision
15.6. Implicit Representations
  • Basics
  • Marching cubes
  • Distance fields
  • Modeling with implicits
22.6. Modeling I
  • Space deformations
  • Multi-resolution methods
29.6. Modeling II
  • Differential representations
6.7. Open Lecture
  • Current research