SplineKnots

SplineKnots
is an option for B-spline functions and graphics primitives that specifies the positions of knots.

DetailsDetails

  • The following settings can be given:
  • Automaticknots arranged uniformly (with clamping)
    {u1,u2,}knots at positions , ,
    {list1,list2,}knot positions in several dimensions
    "Clamped"uniform with clamping
    "Unclamped"uniform without clamping
  • Knots indicate breakpoints in the piecewise parametrization of B-spline functions.
  • For a B-spline function with n control points in a particular dimension and a polynomial basis of degree d, knots must be specified.
  • SplineKnots->Automatic specifies that knots should be chosen uniformly, but with additional knots added so that the function spans from the first control point to the last.
  • SplineKnots->"Unclamped" yields knots that are uniform, but do not necessarily span from the first control point to the last.
Introduced in 2008
(7.0)