CSE 477/598, Intro to Computer-Aided Geometric Design
Topics by day

  • Affine space, affine maps, linear interpolation, quadratic Bezier
  • cubic Bezier, derivatives, de Casteljau, subdivision
  • postscript, general Bezier curves, rendering, Bernstein form
  • derivatives, degree elevation, degree reduction
  • cubic interpolation, general interpolation, least squares
  • Aitken, Hermite,
  • Bezier surfaces: bilinear, mxn, tensor product evaluation
  • triangulation, surface normals, de Casteljau
  • derivatives, isoparametric lines, degree elevation,
  • Coons patches, bicubic interpolation
  • tensor product interpolation, least squares
  • Reflection lines
  • C1, G1, C2 continuity
  • Geometric continuity, C2 cubic B-spline curves
  • B-spline curves, de Boor algorithm
  • multiple knots, continuity class, knot insertion
  • B-splines, local control/support, least squares
  • Cubic spline interpolation
  • composite surfaces, C1 conditions
  • B-spline surfaces, interpolation/approximation
  • Subdivision surfaces
  • rational quadratics, conics