1D Interpolation Playground

We sample f at k nodes x_i and rebuild it everywhere. Drag a sample vertically to perturb one y_i and watch how far the change travels. Switch the nodes from equispaced to Chebyshev to tame the wiggles of the global polynomial.

f(x): Nodes: k = 9 |

Interpolants

Gray: true f(x). Dots: samples (x_i, y_i), draggable.

Basis functions φ_i(x)

f(x) = ∑_i y_i φ_i(x). Hover a node on the left to highlight its φ_i.

Basis:

1D Interpolation Playground

Interpolants

Basis functions φi(x)

Basis functions φ_i(x)