|
|
|
|
|
|
1 |
|
|
|
Introduction; Classification of Geometric Modeling Forms |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
2 |
|
|
|
Differential Geometry of Curves |
|
|
|
Problem Set 1 Out (PDF) |
|
|
|
|
|
|
|
|
|
|
|
|
3 |
|
|
|
Differential Geometry of Surfaces (Demo) |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
4 |
|
|
|
Introduction to Spline Curves |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
5 |
|
|
|
Introduction to Spline Curves |
|
|
|
Problem Set 2 Out (PDF) |
|
|
|
|
|
|
|
|
|
|
|
|
6 |
|
|
|
B-splines (Uniform and Non-uniform) |
|
|
|
Problem Set 1 Due |
|
|
|
|
|
|
|
|
|
|
|
|
7 |
|
|
|
Non-Uniform B-splines, Spline Surfaces |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
8 |
|
|
|
Non-Uniform Rational B-spline Curves and Surfaces (Demo) (Demo Program) |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
9 |
|
|
|
Physically-Based Deformable Surfaces (Demo) |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
10 |
|
|
|
Fairing; Generalized Cylinders |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
11 |
|
|
|
Blending Surfaces |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
12 |
|
|
|
Intersections |
|
|
|
Problem Set 2 Due
Problem Set 3 Out (PDF) |
|
|
|
|
|
|
|
|
|
|
|
|
13 |
|
|
|
Surface Intersections; Nonlinear Solvers |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
14 |
|
|
|
Interval Methods, Robustness |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
15 |
|
|
|
Offset Curves and Surfaces |
|
|
|
Problem Set 4 Out (PDF) |
|
|
|
|
|
|
|
|
|
|
|
|
16 |
|
|
|
B-rep and CSG |
|
|
|
Problem Set 3 Due |
|
|
|
|
|
|
|
|
|
|
|
|
17 |
|
|
|
B-rep and Non-Manifold Mixed Dimension Models |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
18 |
|
|
|
Computer Graphics Techniques |
|
|
|
Problem Set 5 Out (PDF) |
|
|
|
|
|
|
|
|
|
|
|
|
19 |
|
|
|
Reverse Engineering, Reconstructing the Past |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
20 |
|
|
|
Mechanical Tolerances |
|
|
|
Problem Set 4 Due |
|
|
|
|
|
|
|
|
|
|
|
|
21 |
|
|
|
Decomposition Models; Integral Properties of Solids |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
22 |
|
|
|
Advanced Topics in Differential Geometry (Geodesics, Developable Surfaces, Umbilics, Parabolic Line, Ridge Line, Sub-Parabolic Line) |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
23 |
|
|
|
Localization, Inspection and Model Matching |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
24 |
|
|
|
Discrete Differential Geometry |
|
|
|
Problem Set 5 Due |
|
|
|
|
|
|
|
|
|
|
|
|
25 |
|
|
|
F. E. and B. E. Meshing Algorithms (Demo) |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
26 |
|
|
|
Machining Automation (Guest Lecturer) (Demo) |
|
|
|
|
|
|
|
|
|
|