Computer Graphics Laboratory ETH Zurich

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Surface Representations and Geometric Modeling (SS 05) - 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 31.3. Introduction Differential Geometry I Parametric curves and surfaces Curvature and arc length parametrization 7.4. Differential Geometry II Surfaces: first and second order fundamental forms Mean and Gaussian curvature Transfinite modeling methods 14.4. Polynomial Curves and Surfaces I Bézier curves B-Spline curves 21.4. Polynomial Curves and Surfaces II NURBS Tensor product surfaces 28.4. Polynomial Curves and Surfaces III Triangular surfaces 5.5. Auffahrt   12.5. Triangle Meshes I Basics Data structures Mesh decimation I 19.5. Triangle Meshes II Mesh decimation II Discrete differential operators Mesh smoothing: signal processing, curvature flow, energy minimization 26.5. Triangle Meshes III Mesh parameterization re-meshing 2.6. Subdivision Surfaces I Basics Subdivion schemes 9.6. Subdivision Surfaces II Analysis Adaptive subdivision 16.6. Surface Editing Multi-resolution techniques Laplacian editing 23.6. Implicit Representations Basics Marching cubes Distance fields Modeling with implicits 30.6. Point-based Representations Surface reconstruction and approximation from point samples Point-based modeling