Howtosignalprocessing
- Why is cubic spline interpolation better?
- What is the advantage of cubic spline interpolation over using higher order polynomial approximations for interpolation?
- Why is spline better than polynomial?
- How polynomial interpolation differs with cubic spline interpolation?
Why is cubic spline interpolation better?
Cubic spline is used as the method of interpolation because of the advantages it provides in terms of simplicity of calculation, numerical stability and smoothness of the interpolated curve.
What is the advantage of cubic spline interpolation over using higher order polynomial approximations for interpolation?
There are many reasons why cubic splines are popular; first, they are smooth functions with which to fit to data, but importantly for interpolation purposes, they do not have an oscillatory behavior that is common for higher-order degree polynomials associated with interpolation.
Why is spline better than polynomial?
In interpolating problems, spline interpolation is often preferred to polynomial interpolation because it yields similar results, even when using low degree polynomials, while avoiding Runge's phenomenon for higher degrees.
How polynomial interpolation differs with cubic spline interpolation?
The polynomial interpolant is the unique (algebraic) polynomial of degree n-1 or less which passes through the given n points. The cubic spline is the unique piecewise cubic polynomial such that its pointvalues and its first two derivatives (but not the third) are continuous at the given n points.
