





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 



Bsplines (Uniform and Nonuniform) 



Problem Set 1 Due 












7 



NonUniform Bsplines, Spline Surfaces 
















8 



NonUniform Rational Bspline Curves and Surfaces (Demo) (Demo Program) 
















9 



PhysicallyBased 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 



Brep and CSG 



Problem Set 3 Due 












17 



Brep and NonManifold 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, SubParabolic 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) 









