On Saturday, 25 May 2019 at 12:51:20 UTC, NaN wrote:
I used an evolutionary optimisation algorithm on the table all at once. So you do a weighted sum of max deviation, and 1st and 2nd order discontinuity at the joins. And minimise that across the table as a whole. It seemed you could massively overweight the discontinuities without really affecting the curve fitting that much. So perfect joins only cost a little extra deviation in the fit of the polynomial.
Wow, it is pretty cool that you managed to minimize 2nd order discontinuity like that! Is there a paper describing the optimisation algorithm you used?