In mathematics, a spline is a special function defined piecewise by polynomials. ... Splines are popular curves in these subfields because of the simplicity of their construction, their ease and accuracy of evaluation, and their capacity to approximate complex shapes through curve fitting and interactive curve design.

What is a spline curve used for?

A spline curve is a mathematical representation for which it is easy to build an interface that will allow a user to design and control the shape of complex curves and surfaces. The general approach is that the user enters a sequence of points, and a curve is constructed whose shape closely follows this sequence.

What are the important properties of spline curve?

Properties of B-spline Curve :

Each basis function has 0 or +ve value for all parameters. Each basis function has one maximum value except for k=1. The degree of B-spline curve polynomial does not depend on the number of control points which makes it more reliable to use than Bezier curve.