MomoJawad
(Momo Jawad)
February 1, 2024, 1:37pm
1
Can some one explain what and how knot vectors works in creating curves? and what is the role of curve degree

menno
(Menno Deij - van Rijswijk)
February 1, 2024, 1:53pm
2
This and other information on that page (see link). Knots are used to define the basis functions of the splines, which are then used together with the control points to define a function that describes the (x,y,z) coordinates of a curve as a function of the curve parameter t .

The knot vector is a sequence of parameter values that determines where and how the control points affect the NURBS curve. The number of knots is always equal to the number of control points plus curve degree plus one (i.e. number of control points plus curve order). The knot vector divides the parametric space in the intervals mentioned before, usually referred to as knot spans. Each time the parameter value enters a new knot span, a new control point becomes active, while an old control point i...

dn.aur
(Dan)
February 1, 2024, 2:49pm
3

Menno Deij - van Rijswijk:

ther information on that page (see link). Knots are used to define the basis functions of the splines, which are then used together with the control points to define a function that describes the (x,y,z) coordinates of a curve as a function of the curve parameter t .

This might also give anyone new to NURBS some insight into what a Knot, Weight and Controlpoint actually does