4190.504
Advanced Computer Graphics

Course Info

• Topic : 3D Modeling and Geometric Processing
• Room : 301-101
• Time : Tue. 10:30-11:45, Thu. 10:30-11:45

Syllabus

Prerequisites

• Calculus and Linear Algebra
• Computer Graphics (4190.410)

Textbook

• Research Papers
• Duncan Marsh, “Applied Geometry for Computer Graphics and CAD”, Springer-Verlag, London, 1999.

Course Notes

• Problem Reduction to Parameter Space (paper) (3/20)
• Problem Reduction to Parameter Space (slide) (3/20)
• Geometric Constraint Solver using Multivariate Rational Spline Functions (3/29)
• The Intersection of Two Ringed Surfaces (paper) (4/26)
• The Intersection of Two Ringed Surfaces (slide) (4/26)
• Injectivity Conditions of 2D and 3D Uniform Cubic B-spline Functions (4/26)
• The Bisector Surface of Rational Space Curves (5/4)
• Computing Rational Bisectors (5/4)
• Rational Bisectors of CSG Primitives (5/4)
• Minimizing the Distortion of Affine Spline Motions (5/9)
• “Implicit Fields”, Alyn Rockwood (5/22)
• “The ancient used gods”, Alyn Rockwood (5/22)
• The Convex Hull of Rational Plane Curves (6/5)
• Direct Manipulation of Generalized Cylinders based on B-spline Motion (6/14)
• Sweeping a Plane (6/14)

Grading

1. Middle Exam : 100%
2. Final Exam : 100%
3. Homeworks & Projects : 100%