What is a Knot Vector and How Do You Define It?

[mymachine]

Could someone show me which one is called by the knot vector and how to define it?

Thank you

 

[jedishrfu]

This may help:

http://www.rhino3d.com/nurbs/

It mentions that the knot vector is a list of numbers not a real vector so maybe its related to the point numbering.

 

[HallsofIvy]

There are a number of different definitions of "knot" in different types of mathematics. From your graph it appears that you are approximating a function by a "broken line". In this case the "knots" are the points at which the different line segments join so your "knot vector" is simply (b0, b1, b2, b3).