1. Representation of Curves and Surfaces

• 1.1 Analytic representation of curves
  • 1.1.1 Plane curves
  • 1.1.2 Space curves
  
  
• 1.2 Analytic representation of surfaces
• 1.3 Bézier curves and surfaces
  • 1.3.1 Bernstein polynomials
  • 1.3.2 Arithmetic operations of polynomials in Bernstein form
  • 1.3.3 Numerical condition of polynomials in Bernstein form
  • 1.3.4 Definition of Bézier curve and its properties
  • 1.3.5 Algorithms for Bézier curves
  • 1.3.6 Bézier surfaces
  
  
• 1.4 B-spline curves and surfaces
  • 1.4.1 B-splines
  • 1.4.2 B-spline curve
  • 1.4.3 Algorithms for B-spline curves
  • 1.4.4 B-spline surface
  
  
• 1.5 Generalization of B-spline to NURBS