Module bsplines::curve

Implements the B-spline curve.

A B-spline curve can be defined by

with the

• parameter u ∈ [0,1] defining a point on the curve,
• derivative order k,
• number of polynomial spline segments n,
• spline degree p,
• k-th derivative knot vector U,
• n+1-k spline basis function N of degree p defined by the knot vector U, and
• n+1-k, N-dimensional control points P.

Modules

• basis
  Implements the basis spline functions using the Cox-de Boor-Mansfield recurrence relation
• generation
  Generates a curve with different methods knot into the curve.
• knots
  Implements the knot vector defining the spline basis functions.
• parameters
  Implements different parameter generation methods.
• points
  Implements the control points constituting the control polygon of the curve.

Structs

• Curve

Enums

• CurveError