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Comment by fps-hero | Hacker News Reader

Did you miss the point of the article? JPEG-XL encoding doesn't rely on quantisation to achieve its performance goals. Its a bit like how GPU shaders use floating point arithmetic internally but output quantised values for the bit depth of the screen.

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Which is completely wrong by the way, JPEG-XL quantizes its coefficients after the DCT transform like every other lossy codec. Most codecs have at least some amount of range expansion in their DCT as well, so the values quantized might be greater bit depth than the input data.

> Did you miss the point of the article?

Sorry I missed. How is the "floating point" stored in .jxl files?

Float32 has to be serialized one way or another per pixel, no?

No, JPEG is not a bitmap format.

The cliff notes version is that JPEG and JPEG XL don't encode pixel values, they encode the discrete cosine transform (like a Fourier transform) of the 2d pixel grid. So what's really stored is more like the frequency and amplitude of change of pixels than individual pixel values, and the compression comes from the insight that some combinations of frequency and amplitude of color change are much more perceptible than others

The gradient is stored, not the points on the gradient

In addition to the other comments: you can have an internal memory representation of data be Float32, but on disk, this is encoded through some form of entropy encoding. Typically, some of the earlier steps is preparation for the entropy-encoder: you make the data more amenable to entropy-encoding through rearrangement that's either fully reversible (lossless), or near-reversible (lossy).

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