Translations:B-Splines/37/en

The name B-spline stands for Basis spline. Instead of forming the spline as a combination of Bézier curves, the approach is to to model the same spline a different way. The idea is hereby to use another set of polynomials as basis. A linear combination of these basis polynomials $$B_D(t)$$ with the order $$D$$ forms the B-spline. This video explains the transition from the Bézier control points to the polynomial basis functions describing the spline. Mathematically we can describe a B-spline with this formula: