Contents

• The Affince Combination Notation
• Knot Vectors, Knot Sequences, Distinct Value Knot Vectors, Knot Multiplicity Vectors
• Interpolation in the Context of Piecewise Blossoms
• Derivatives of NURBS Curves
• Derivatives of NURBS Curves: A New Notation
  • Derivatives of $C^{0}$ NURBS Curves
  • Derivatives of $C^{-1}$ NURBS Curves
  
  
• Direct Degree Elevation of NURBS
• Multiplication of Two Scalar NURBS
• Bibliography