Splines (mathematics)

curve used in computer graphics and related fields

special function defined piecewise by polynomials

mathematical model

In numerical analysis, a B-spline (short for basis spline) is a type of spline function designed to have minimal support (overlap) for a given degree, smoothness, and set of breakpoints (knots that partition its domain), making it a fundamental building block for all spline functions of that degree. A B-spline is defined as a piecewise polynomial of order n, meaning a degree of n - 1. It is built from sections that meet at these knots, where the continuity of the function and its derivatives depends on how often each knot repeats (its multiplicity). Any spline function of a specific degree can

recursive method to evaluate polynomials in Bernstein form, used to work with Bézier curves

mathematical method

spline where each piece is a third-degree polynomial specified in Hermite form: that is, by its values and first derivatives at the end points of the corresponding domain interval

method of evaluating spline curves

geometric shape