Image Quantization #2
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The current implementation of _continuous, $x/k$ maps 0 to 0 and k to 1 which feels desirable. However, I beleive _discretize should be the inverse of _continuous which results in the current implementation of _discretize being $ceil(x*k - 0.5)$ which has "bins" of differing widths at the extremes (half the width of the internal bins). This does not feel right. The TODO notes describe a counter-proposal in which _discretize maps to constant-width bins but the inverse means that _continuous no longer maps 0 and k to 0 and 1 respectivley. This also feels wrong.
Codecov Report
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Coverage 92.70% 92.70%
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Files 13 13
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Hits 661 661
Misses 52 52
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henryrobbins
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@dtorop This has been bothering me for awhile. Any thoughts? I had trouble finding the "right way" to do this because I didn't know which keywords to search for. |
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The current implementation of _continuous,$x/k$ maps 0 to 0 and k to 1 which
$ceil(x*k - 0.5)$ which has "bins" of differing widths at the extremes (half
feels desirable. However, I beleive _discretize should be the inverse of
_continuous which results in the current implementation of _discretize being
the width of the internal bins). This does not feel right. The TODO notes
describe a counter-proposal in which _discretize maps to constant-width bins
but the inverse means that _continuous no longer maps 0 and k to 0 and 1
respectivley. This also feels wrong.