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28th June 2022, 11:49 | #1 | Link |
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Join Date: Jan 2015
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Polynomial interpolation is bollocks
How polynomial interpolation works in theory:
You have a waveform/signal that passes through an arbitrary number n of sampled values. For any such number, you can create a polynomial function in which X is not raised to any power greater than n-1, that passes through all of those sampled values. This polynomial function should approximate the sampled waveform, at least within the sampled range. The problem: Approximating a waveform and intersecting it an arbitrary number of times are EXTREMELY different things... so different, in fact, that a nearest-neighbor algorithm provides a better approximation of the waveform than a polynomial is likely to. Multicolored: the sampled signal Black: the polynomial "approximation" I can see why this wasn't included in AVIsynth's internal filters.
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