On Saturday, 25 May 2019 at 09:52:22 UTC, Ola Fosheim Grøstad
wrote:
On Saturday, 25 May 2019 at 09:04:31 UTC, NaN wrote:
Its pretty common technique in audio synthesis.
Indeed. CSound does this.
What i've done in the past is store a table of polynomial
segments that were optimised with curve fitting.
That's an interesting solution, how do you avoid higher order
discontinuities between segments? Crossfading? Or maybe it
wasn't audible.
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.
