VIZA 657 / CSCE 648 : Computer Aided Sculpting
Fall 2024

Weekly Outline
Presentations and Videos
  1. Overview: Implicit Surfaces, Parametric Surfaces, Polygonal Meshes & Subdivision Surfaces, Voronoi Decomposition
  2. Manifolds and Complexes - Polygonal Meshes & Mesh Data Structures
  3. Euler-Poincare Equation - Betti Numbers
  4. 1D, 2D & 3D Symmetries - Regular & Semiregular Structures
  5. Gaussian Curvature, Discrete Gaussian Ciurvature and Gauss-Bonnet Theorem
  6. Planar & Conical Meshes
  7. Developable Surfaces
  8. Minimal & Complete Operations
  9. Data Structures
  10. Bilinear Surfaces, Coons Patches
  11. Bezier Curves and Surfaces
  12. B-Splines
  13. Rational Polynomials and NURBS
  14. Subdivision Surfaces