Date | Topic | Reading |
9/1 | Introduction to Class; Points, Vectors and Barycentric Coordinates Parametric/Implicit Forms | 1-2.5, 3.5 |
9/3 | Curves and Interpolation: Vandermonde, Lagrange, Hermite | 3.1-3.2, 7.1-7.5 |
9/8 | The Bernstein Basis and Bezier Curves | 4.1, 5.1-5.4 |
9/10 | Least Squares Curve Generation, Rational Representations, Splines and Continuity | 7.8, 12.1-12.2, 13.1-13.3 |
9/15 | Class cancelled |
9/17 | Blossoming and B-splines | 4.4, 8.1-8.9 |
9/22 | Blossoming and B-splines
Project Proposal Due | 4.4, 8.1-8.9 |
9/24 | B-splines and Catmull-Rom Splines | 10.1-10.4, 19.1-19.7 |
9/29 | Differential Geometry for Curves and Surfaces | |
9/30 | Homework 1 Due | |
10/1 | Tensor-Product Surfaces | 14.1-14.12 |
10/6 | Bezier Triangles and Multi-Sided Patches | 17.1-17.6 |
10/8 | Generalized Barycentric Coordinates | |
10/13 | Class cancelled |
10/15 | Class cancelled |
10/20 | Generalized Barycentric Coordinates Diffusion Curves | |
10/22 | Coons and Gregory Patches Project Update #1 Due | 15.2, 22.1-22.6 |
10/27 | Subdivision Curves | 21.1 |
10/28 | Homework 2 Due | |
10/29 | Subdivision Curves
Subdivision Surfaces | 21.1-21.7 |
11/3 | Subdivision Surfaces | 21.2-21.7 |
11/5 | Analysis of Subdivision Schemes | |
11/10 | Boundary Representations and Topology | 21.9 |
11/11 | Homework 3 Due |
11/12 | Surface Simplification
Project Update #2 Due | 21.10 |
11/17 | Implicit Representations of Surfaces | |
11/19 | Implicit Representations of Surfaces | |
11/24 | TBD |
11/26 | Thanksgiving - Class Cancelled |
12/1 | Free-form Deformations | 16.8 |
12/2 | Homework 4 Due |
12/3 | Surface Parameterization | |
12/8 | First Set of Final Project Presentations | |
12/11 | Final Project Report/Presentation Due (3pm-5pm) | |