Created by: portnov
This node calculates so-called node points (also known as Greville points or
average knot points) of the NURBS curve.
NURBS curve nodes (or Greville abscissaes) are defined as:
t[i] = sum(u[i+j] for j from 1 to p) / p
, where u
is curve's knotvector, and
p
is curve's degree.
NURBS curve node points (or Greville points) are points at the curve at
parameter values equal to node values.
The number of curve's nodes is equal to the number of curve's control points.
Node points of the curve are positioned on the curve near corresponding control
points. So in many NURBS algorithms, node points are used to define the shape
of NURBS curve, instead of control points.
Preflight checklist
Put an x letter in each brackets when you're done this item:
-
Code changes complete. -
Code documentation complete. -
Documentation for users complete (or not required, if user never sees these changes). -
Manual testing done. -
Unit-tests implemented. -
Ready for merge.