Welcome to Doom9's Forum, THE in-place to be for everyone interested in DVD conversion.

Before you start posting please read the forum rules. By posting to this forum you agree to abide by the rules.

 

Go Back   Doom9's Forum > Announcements and Chat > General Discussion

Reply
 
Thread Tools Search this Thread Display Modes
Old 28th June 2022, 11:49   #1  |  Link
Katie Boundary
Registered User
 
Katie Boundary's Avatar
 
Join Date: Jan 2015
Posts: 1,048
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.
__________________
I ask unusual questions but always give proper thanks to those who give correct and useful answers.
Katie Boundary is offline   Reply With Quote
Old 28th June 2022, 12:27   #2  |  Link
Katie Boundary
Registered User
 
Katie Boundary's Avatar
 
Join Date: Jan 2015
Posts: 1,048
Another spectacular success:

__________________
I ask unusual questions but always give proper thanks to those who give correct and useful answers.
Katie Boundary is offline   Reply With Quote
Reply

Thread Tools Search this Thread
Search this Thread:

Advanced Search
Display Modes

Posting Rules
You may not post new threads
You may not post replies
You may not post attachments
You may not edit your posts

BB code is On
Smilies are On
[IMG] code is On
HTML code is Off

Forum Jump


All times are GMT +1. The time now is 00:04.


Powered by vBulletin® Version 3.8.11
Copyright ©2000 - 2024, vBulletin Solutions Inc.