Draw 300 points by 30 points, which method to use?

Question

Mathematics

There is a task, for 30 points to draw 300 points, with the smallest spread and the greatest smoothness. Which method to use? Where to dig, formulas, code examples are encouraged)

Answer 1

If you need to draw it 1 time and forget - interpolate according to Lagrange

Answer 2

Interpolation. Better - splines.