Arbitrary-Scale Super-Resolution with Neural Heat Fields

> by generating output in a psychovisually optimal space? Perhaps frequency space (discrete cosine transform)

I've never understood the DCT to be psychovisually optimal at all. At lower bitrates, it degrades into ringing and blockiness that don't match a "simplified perception" at all.

The frequency domain models our auditory space well, because our ears literally process frequencies. Bringing that over to the visual side has never been about "psychovisual modeling" but about existing mathematical techniques that happen to work well, despite their glaring "psychovisual" flaws.

On the other hand, yes a HSV color space could make more sense than RGB, for example. But I'm not sure it's going to provide a significant savings? I'd certainly be curious. It also might create problems though, because hue is undefined when saturation is zero, saturation is undefined when brightness is zero, etc. It's not smooth and continuous at the edges the way RGB is. And while something like CIELAB doesn't have that problem, you have the problem of keeping valid value combinations "in bounds".

Instead of training on vast amounts of arbitrary data that may lead to hallucinations, wouldn't it be better to train on high-resolution images of the specific subject we want to upscale? For example, using high-resolution modern photos of a building to enhance an old photo of the same building, or using a family album of a person to upscale an old image of that person. Does such an approach exist?

I would love to see this kind of work applied to old movies from the 30s and 40s like the Marx Brothers.

Try it yourself. Here is the demo: https://huggingface.co/spaces/prs-eth/thera

Interesting thoughts! First thing to mention is that if you look at the code, it uses SSIM, which is a perceptual image metric. Second is that it may be using sRGB, which isn’t a perceptually uniform color space, but is closer to one than linear RGB. I say that simply because most images these days are sRGB encoded. Whether Thera is depends on the dataset.

Aren’t Thera’s frequency banks pretty darn close to DCT or Fourier transform already? This is a frequency space decomposition & reconstruction, and their goal is similar to JPG in that it aims to capture the low frequencies accurately, and skimp on the frequencies that matter less, either by being less visible or lead to error (aliasing artifacts). It doesn’t seem entirely accurate to frame this paper as learning in pixel space.

As far as perceptual color spaces, yeah that might be worth trying. It’s not clear exactly what the goal is or how it would help, but it might. Thera does use the same color spaces that JPG encoding uses: RGB and YCbCr, which are famously bad. Perceptual color spaces save some bits in the file format, and like frequency space, they are convenient and help with perceptual decisions, but it’s less common to see them used to save work, at least outside of research. Notably, image generation often needs to work in linear color space anyway, and convert to a perceptual color space at the end. For example, CG rendering is all done in linear space, even when using a perceptual color metric to guide adaptive sampling.

Another question worth asking is whether in general a neural network already learns the perceptual factors. When it comes to black box training, if the data and loss function capture what a viewer needs to see, then the network will likely learn what it needs and use it’s own notion of perceptual metrics in it’s latent space. In that case, it may not help to use inputs and output that are encoded in a perceptual space, and we might be making incorrect assumptions.

In this case with Thera, the paper’s goal may be difficult to pin down perceptually. Doesn’t the arbitrary in ‘arbitrary-scale super resolution’ toss viewing conditions and the notion of an ideal viewer out the window? If we don’t even want to know what the solid angle of a pixel is, we can’t know very much about how they’re perceived.