Geometric Modeling 1

Basics

Polynomials

  • Bases
    • Mononomials
    • Lagrange polynomials
    • Newton polynomials (equidistant, arbitrary)
    • Bernstein polynomials
    • Cubic Hermite Splines
    • Cheybychev polynomials of the first kind
  • Evaluation
    • Mononomial
    • Lagrange/Aitken-Neville
    • Newton (equidistant only)
    • Bernstein/de Casteljau
  • Interpolation
    • Problem description
    • Polynomial interpolation
      • Mononomial interpolation
      • Lagrange interpolation
      • Newton interpolation (equidistant only)
      • Cheybychev interpolation
    • Choice of parameter values
      • Globally best approximation
      • Locally best approximation
  • Approximation
    • Problem description
    • Least-Squares approximation
    • Heuristic parameter estimation
    • Approximation error

Bézier Curves

B-Splines

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