Enhanced sub-pixel interpolation technique (Needs implementation and tests)
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There's a sophisticated and much highly accurate, but traditional, approach for interpolating sub-pixels. Given:

where upper case letters represents the pixels into integer coordinates.
The sub-pixels can be defined by doing a 24-taps fractional DCT interpolation. It's an improvement to one that be done in this paper:
My default sub-pixel precision is 1/64 (1/8 x 1/8). Probably, shall be made using step-by-step.
I'm not worried about processing time.
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Steven Lord
2016-7-2
Thanks for letting us know.
If you want to implement that but are having difficulty doing so, post what you've done so far and ask a SPECIFIC question about where you're having trouble and you may receive some guidance.
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