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I'm a bit confused about this graphic. Doesn't the interpolation still have to touch the dots? Am I misunderstanding what this graphic is showing?


I think that's one of the properties of a spline (more here:, and that sometimes you might sacrifice passing through the dots exactly to get other properties.


@ericchan Yes, good point---this slide shows an example of a curve that is approximating, rather than interpolating. A better choice of curve would be... better! :-)