There's no link to the paper, so I can only infer, but, if I understand correctly, this is a very simple idea: take a single Gaussian splat "tile" and find a cut when two copies are placed near each other and overlapping, using dynamic programming to vary the size of overlap and where the cut should be. Have a variety of cuts to break a uniform tiling (the Wang tiles part) and now you have different tiles with different nearest neighbor constraints that you can use to tile the plane.

Probably a lot of details to be worked out in how to stitch Gaussian splats together but I imagine it's pretty do-able.

I think one of the problems with Gaussian splatting is generating content. You can take a static picture of something but it's hard to know how to use it for interaction. This is a way to generate 3d textured sheets, like sunflower fields, walls, caves, etc.

In my opinion, great idea.

Everybody Wang Tiles tonight.

But seriously, I didn't realize I wanted this. I was hoping to experiment with just repeating the same tile. This gives me hope that other people will make these techniques approachable.

Crazy to see 2 of my niche interests interact. Great idea, you could extent the idea to use example based texture synthesis, such as Image Quilting https://www.merl.com/publications/docs/TR2001-17.pdf

The gaussian splatting never cease to amaze me. I wonder if it would be OK to proceduraly (not by LLM) generate natural worlds for video games with that...

The in-browser demo is very cool! It's not clear from the linked page, but the GitHub repo[0] includes links to sample tile datasets that can be used for the demo.

[0] https://github.com/zengyf131/gswt_renderer

This is very cool. I wonder how well it could be combined with Wave Function Collapse (or the Nested variant)

[1] https://github.com/mxgmn/WaveFunctionCollapse

[2] https://nyh-dolphin.github.io/en/research/n_wfc/

Can we get a demo of this with a wind modifier added. My goodness! I can’t wait to explore virtual worlds with this kind of grass/foliage detail.

Is it possible to make them skew(the right word here ?) in some way so that they could appear to blow in a breeze?

  (x_hat*sin(y*t) + y_hat*sin(x*t))*exp((z_l-z_h)/2*z_h)

It looks great but I think the static-ness of gaussian splats is what's holding it back. You can't easily animate them or properly relight them like with polygonal rendering, so it's hard to combine two differently lit things. If someone came up with some kind of neural relighting for them or something it would be huge.

As an avid player of farming simulator, this is very interesting and i can see so many potential applications for it.

This is neat and I don't want to be too snarky, but I had to chuckle as the specificity of "However, extending 3DGS to synthesize large-scale or infinite terrains from a single captured exemplar—remains an open challenge.".

Microsoft research had some good publications on generating infinite non-repeating textures by (IIRC) markov-filling an aperiodic tile set, including creating video textures. I tried to find the examples a few months ago but the old URLs I'd bookmarked were no longer working.