CSE 579, NURBS / CAGD
Topics by day

  • Projective Geometry, points, lines.
  • Projective coordinates, Pappus' theorem.
  • Perspectivities, projectivities, cross ratios
  • Collineations, Conics, Pascal & Brianchon
  • Four tangent thm, parametric conics
  • Bezier form, derivatives, implicit form
  • implict interpolant, quadratic parametric interpolants, blossoms
  • blossoms, rational quadratics, reparametrization
  • implicit to parametric conics, general projective Bezier curves
  • de Casteljau algorithms, blossoms, derivatives
  • derivatives, control point/line/plane curves
  • cubic conics, osculatory interpolation, Ball points
  • B-spline curves, blossoms, de Boor algorithm
  • knot insertion
  • smoothness, degree elevation, Greville abscissae
  • smoothness, B-splines, de Boor recursion
  • derivatives and blossoms, twists, translational surfaces
  • discrete Coons patches, mesh fairing
  • Bezier triangles, de Casteljau algorithm, blossoms
  • subdivision schemes, limit behavior