Translations:B-Splines/39/en

Hereby $$p_k$$ is the $$k$$-th control point of the B-spline and also a factor for the $$k$$-th base polynomial $$B_{k, D}(t)$$. Every basis polynomial describe the spline in a certain region and therefore moving a control point does not affect the whole spline. To understand this, it is highly recommended to have a look at this video starting at minute 2:23.