[jrmg]

I see what you’re saying - index 0 holds values from 0-1, index 2 from 1-2 etc, but then you have index 255 holding values between 255 and 256. So you’re sort of arguing that the 0-255 8-bit quantization is actually representing ‘real’ values of 0-256?…

Edit: somehow missed alterom’s reply - they explain it much better than my question above does.

[jessetemp]

Not quite. I'm saying there are 256 discrete numbers (0-255) and 255 intervals between those numbers. Most of the real values will fall into the intervals and get mapped to 0-255 somehow, maybe by nearest neighbor, but I'm not trying to define how they get mapped. The point is that 255 is the largest number that can be represented with 8 bits, so you should normalize by 255.

I wrote a longer replay to alterom but it looks buried for some reason.

https://news.ycombinator.com/item?id=48365800

[jnovacho]

> index 0 holds values from 0-1, index 2 from 1-2 etc,

Well, now you are double counting the end values of the ranges. In your example 1 is included in both 0-1 and 1-2.