Hi,(adsbygoogle = window.adsbygoogle || []).push({});

Very general question, I never really covered this.

Say I have ten data points in 2D space and I need to find a curve which passes THROUGH these points, how do I go about this? I need it to be a curve because I need a function to operate on analytically, not a set of points.

Ordinarily I'd try some least squares fitting, but that won't do here because I really need the curve to cross all the points. Also, I can't use a polynomial fit because the function needs to go to 0 at infinity.

I have it in my head from reading somewhere that this can be done by fitting it to a set of basis functions, eg. a set of Gaussian distributions, and adding them together will make it a lot easier to fit to the points.

Does this have a proper name or something so I can research it further?

Thanks,

Ordinarily I'd go to the library for this sort of thing but my knowledge is so vague I don't have a starting point on this one.

Thanks,

**Physics Forums - The Fusion of Science and Community**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# How do you interpolate a set of points into a curve?

Loading...

Similar Threads - interpolate points curve | Date |
---|---|

I Weights and interpolation -- Replicating Python code with hand calculations | Feb 16, 2018 |

I Interpolation of Graphed, Cutoff Sensor Values | Mar 13, 2017 |

I Newton Divided Difference Interpolation Polynomial | Feb 8, 2017 |

Do you know about operational equations? | Oct 8, 2016 |

Accurately interpolating more Data points for a bump profile | Sep 20, 2012 |

**Physics Forums - The Fusion of Science and Community**