Triangle splatting: radiance fields represented by triangles

158 ath92 68 5/30/2025, 4:07:17 AM trianglesplatting.github.io ↗

Comments (68)

rossant · 22h ago
After an email exchange with the lead author, I just rendered one of their demo datasets using my Datoviz GPU rendering library [1]. It looks nice and it's quite fast. I'm just rendering uniform triangles using standard 3D rasterization.

https://github.com/user-attachments/assets/6008d5ee-c539-451...

(or https://github.com/datoviz/data/blob/main/gallery/showcase/s...)

I'll add it to the official gallery soon, with proper credits.

[1] https://datoviz.org/

meindnoch · 22h ago
404
rossant · 22h ago
Which link? Both seem to work for me at the moment.
xeonmc · 21h ago
Try viewing while logged out of GitHub
rossant · 21h ago
Works too
meindnoch · 19h ago
It does not.
heliophobicdude · 18h ago
Might be private repo? I get 404 as well
littlestymaar · 21h ago
The first one, most likely a permission issue.
praveen9920 · 1d ago
> The triangles are well aligned with the underlying geometry. All triangles share a consistent orientation and lie flat on the surface.

When I first read "triangle splatting," I assumed Gaussians were just replaced by triangles, but triangles being aligned with geometry changes everything. Looking forward to seeing this in action in traditional rendering pipelines.

mxfh · 23h ago
Normal aligned 3DGS was already proposed earlier[1]. This seems more like an iteration on getting performance improvement by moving from the theoretical principle closer to what the hardware is already doing well and finding a sweet spot of brute amount of features, fast rasterization method and perceived image quality.

It's already noticeable that there doesn't seem to be one fits all approach. Volumetric feathered features like clouds will not profit much from triangle representation vs high visual frequency features.

There are various avenues for speeding up rendering and improving 3d performance of 3DGS.

it's surely a very interesting research space to watch.

https://arxiv.org/pdf/2410.20593

https://speedysplat.github.io/

another venue is increasing the complexity of the gradient function like applying Gabor filters

https://arxiv.org/abs/2504.11003

some many ways to adapt and extend on the 3dgs principles.

praveen9920 · 21h ago
I think the major computational task is sorting the primitives, which works great on GPUs but not so much on CPUs. Im sure there is some research happening on sort-free primitives
porphyra · 16h ago
This seems like the natural next step after Gaussian splatting. After all, triangles are pretty much the most "native" rendering that GPUs can do. And as long as you figure out a way to make it differentiable (e.g. with their windowing function), it should be possible to just throw your triangles into a big optimizer.
jplusequalt · 17h ago
Can anyone detail the use case for gaussian splatting to me? What are we trying to solve, or, where direction are we trying to head towards?

I'm more familiar with traditional 3D graphics, so this new wave of papers around gaussian splatting lies outside my wheelhouse.

jtolmar · 15h ago
Gaussian splatting models the scene as a bunch of normal distributions (fuzzy squished spheres) instead of triangles, then renders those with billboarded triangles. It has advantages (simpler representation, easy to automatically capture from a scan) and disadvantages (not what the hardware is designed for, not watertight). The biggest disadvantage is that most graphics techniques need to be reinvented for it, and it's not clear what the full list of advantages and disadvantages will be until people have done all of those. But that big disadvantage is also a great reason to make tons of papers.
marcellus23 · 14h ago
what does "not watertight" mean?
lambdaone · 14h ago
They don't create contiguous surfaces, and GPUs are optimized to deal with sets of triangles that share vertices (a vertex typically being shared by four to six triangles), rather than not shared at all as with this.

"Watertight" is a actially a stronger criterion, which requires not only a contigous surface, but one which encloses a volume without any gaps, but "not watertight" suffices for this.

marcellus23 · 12h ago
Interesting thank you!
machiaweliczny · 16h ago
AFAIK Gaussian Splatting is somehow connected to NeRFs (neural radiance fields), so job of turning multiple 2D images into 3D scene. Actually tried doing something like this recently for drone navigation (using older point cloud methods) but no luck so far.

Can anyone who read this suggest something to use to scan room geometry using camera only in real-time (with access to beefy NVIDIA computer if needed) for drone navigation purposes?

walterlw · 12h ago
have you tried ORB SLAM v3?
hnuser123456 · 17h ago
I get the impression the goal is to save 3D environments with baked lighting without having to run raytracing, at a level above explicitly defined meshes with faces covered by 2D textures, which can't represent fog, translucency, reflection glints, etc without a separate lighting pass. Basically trying to get raytracing without doing raytracing.
kridsdale1 · 15h ago
I would say they’re an attempt to extend the concept of a photograph in to truly 3 dimensions (not a 2D bitmap with a depth layer)
sorenjan · 22h ago
This looks really nice, but I cant help to think this is a stop gap solution like other splatting techniques. It's certainly better than NERFs, where the whole scene is contained in a black box, but reality is not made up of a triangle soup or gaussian blobs. Most of the real world is made up of volumes, but can often be thought of as surfaces. It makes sense to represent the ground, a table, walls, etc with planes, not a cloud of semi translucent triangles. This is like pouring LEGO on the floor and moving them around until you get something that looks ok from a distance, instead of putting them together. Obviously looking good is often all that's needed, but it doesn't feel very elegant.

Although, the normals look pretty good in their example images, maybe you can get good geometry from this using some post processing? But then is a triangle soup really the best way of doing that? My impression is that this is chosen specifically to get a final representation that is efficient to render on GPUs. I haven't done any graphics programming in years, but I thought you'd want to keep the number of draw calls down, do you need to cluster these triangles into fewer draw calls?

Is there any work being done to optimize a volumetric representation of scenes and from that create a set of surfaces with realistic looking shaders or similar? I know one of the big benefits of these splatting techniques is that it captures reflections, opacity, anisotropicity, etc, so "old school" photogrammetry with marching cubes and textured meshes have a hard time competing with the visual quality.

haeric · 15h ago
> I haven't done any graphics programming in years, but I thought you'd want to keep the number of draw calls down, do you need to cluster these triangles into fewer draw calls?

GPUs draw can draw 10,000's of vertices per draw call, whether they are connected together into logical objects or are "triangle soup" like this. There is some benefit to having triangles connected together so they can "share" a vertex, but not as much as you might think. Since GPUs are massively parallel, it does not matter much where on the screen or where in the buffer your data is.

> Is there any work being done to optimize a volumetric representation of scenes and from that create a set of surfaces with realistic looking shaders or similar?

This is basically where the field was going until nerfs and splats. But then nerfs and splats were such HUGE steps in fidelity, it inspired a ton of new research towards it, and I think rightfully so! Truth is that reality is really messy, so trying to reconstruct logically separated meshes for everything you see is a very hard way to try to recreate reality. Nerfs and splats recreate reality much easier.

hirako2000 · 18h ago
A digital image is a soup, of RGB dots of various size.

Gaussian Splatting radically changed the approach to photogrammetry. Prior approaches to generate surface models, and mapping the captures to materials that a renderer would more or less rasterize with physically accuracy were hitting the ceiling of the technique.

NerF was also a revolution but is very compute intensive.

Even a browser, a mid range GPU, can render millions of splats at 60 frames per seconds. That's how fast it goes and less than a million dense scene can already be totally bluf the eye in most possible angles.

Splatting is the most advanced, promising and already delivered on the promise technique for photogrammetry. The limit is that can't do as much in term of modification to point clouds vs surface with great PBR attributes.

sorenjan · 17h ago
No, an image is a well ordered grid of pixels. The 3D variant would be voxels, and Nvidia recently released a project to do scene reconstruction with sparse voxels [0].

If you take these triangles, make them share vertices, and order them in a certain way, you have a mesh. You can then combine some of them into larger flat surfaces when that makes sense, draw thousands of them in one draw call, calculate intersections, volumes, physics, LODs, use textures with image compression instead of millions of colored objects, etc with them. Splatting is one way of answering the question "how do we reproduce these images in a way that lets us generate novel views of the same scene", not "what is the best representation of this 3D scene".

The aim is to find the light field that describes the scene, and if you have solid objects that function can be described on the surface of those objects. Seems like a much more elegant end result than a cloud of separate objects, no matter what shape they have, since that's much closer to how reality works. Obviously we need to handle volumetrics and translucency as well, but if we model the real surfaces as virtual surfaces I think things like reflections and shadow removal will be easier. At least gaussian splats have a hard time with reflections, they look good from some viewing angles, but the reflections are often handled as geometry [1].

I'm not arguing that it doesn't look good or that it doesn't serve a purpose, sometimes a photorealistic novel view of a real scene is all you want. But I still don't think it's the best representation of scenes.

[0] https://svraster.github.io/

[1] https://www.youtube.com/watch?v=yq6gtdpLUCo

spencerflem · 15h ago
I still love this older paper on Plenoxels : https://alexyu.net/plenoxels/

It made so much sense to me: voxels with view dependent color, using eg. spherical gaussians.

I don't know how it compares to newer techniques, probably badly since nobody seems to be talking about it.

sorenjan · 12h ago
They're mentioned in the SVRaster paper.

https://svraster.github.io/images/teaser.jpg

buildartefact · 9h ago
rossant · 1d ago
Very exciting! Neural rendering finally coming to standard rasterizer engines.
adastra22 · 1d ago
Can someone explain what a splat is? I did graphics programming 25 years ago, but haven't touched it since. I don't think I've ever heard this word before.
0xfffafaCrash · 1d ago
A splat is basically a point in a point cloud. But instead of a gaussian splat being just a point it isn’t infinitesimally small but like a 3d gaussian where the point represent the mean. It also has color and opacity. You can also stretch it like an ellipsoid instead of having it have perfect radial symmetry.
mjfisher · 1d ago
And in case it helps further in the context of the article: traditional rendering pipelines for games don't render fuzzy Gaussian points, but triangles instead.

Having the model trained on how to construct triangles (rather than blobbly points) means that we're closer to a "take photos of a scene, process them automatically, and walk around them in a game engine" style pipeline.

yazaddaruvala · 1d ago
Any insights into why game engines prefer triangles rather than guassians for fast rendering?

Are triangles cheaper for the rasterizer, antialiasing, or something similar?

mjfisher · 22h ago
Cheaper for everything, ultimately.

A triangle by definition is guaranteed to be co-planer; three vertices must describe a single flat plane. This means every triangle has a single normal vector across it, which is useful for calculating angles to lighting or the camera.

It's also very easy to interpolate points on the surface of a triangle, which is good for texture mapping (and many other things).

It's also easy to work out if a line or volume intersects a triangle or not.

Because they're the simplest possible representation of a surface in 3D, the individual calculations per triangle are small (and more parallelisable as a result).

strangecasts · 17h ago
As an aside, a few early 90s games did experiment with spheroid sprites to approximate 3D rendering, including the DOS game Ecstatica [1] and the (unfortunately named) SNES/Genesis game Ballz 3D [2]

[1] https://www.youtube.com/watch?v=nVNxnlgYOyk

[2] https://www.youtube.com/watch?v=JfhiGHM0AoE

jplusequalt · 17h ago
>triangles cheaper for the rasterizer

Yes, using triangles simplifies a lot of math, and GPUs were created to be really good at doing the math related to triangles rasterization (affine transformations).

Daub · 22h ago
Yes cheaper. Quads are subject to becoming non-planar leading to shading artifacts.

In fact, I belive that under the hood all 3d models are triangulated.

jiggawatts · 1d ago
Triangles are the simplest polygons, and simple is good for speed and correctness.

Older GPUs natively supported quadrilaterals (four sided polygons), but these have fundamental problems because they're typically specified using the vertices at the four corners... but these may not be co-planar! Similarly, interpolating texture coordinates smoothly across a quad is more complicated than with triangles.

Similarly, older GPUs had good support for "double-sided" polygons where both sides were rendered. It turned out that 99% of the time you only want one side, because you can only see the outside of a solid object. Rendering the inside back-face is a pointless waste of computer power. This actually simplified rendering algorithms by removing some conditionals in the mathematics.

Eventually, support for anything but single-sided triangles was in practice emulated with a bunch of triangles anyway, so these days we just stopped pretending and use only triangles.

adastra22 · 1d ago
Yes. Triangles are cheap. Ridiculously cheap. For everything.
ragebol · 1d ago
So instead of a point, a splat is more of a (colored) cloud itself.

So a gaussian splat scene is not a pointcloud but rather a cloudcloud.

Daub · 22h ago
> so a gaussian splat scene is not a pointcloud but rather a cloudcloud.

A good way of putting it.

Daub · 22h ago
Practically, what differentiateS a splat from standard photogrammetry is that it can capture things like reflections, transparency and skies. A standard photogram of (for example) a mirror would confuse the reflection in the mirror for a space behind the mirror. A photogram of a sheet of glass would likewise suffer.

The problem is that any tool or process that converts splats into regular geometry produces plain old geometry and RGB textures, thus loosing its advantage. For this reason splats are (in my opinion) a tool in search of an application. Doubtless some here will disagree.

taylorius · 22h ago
I've never been quite clear on how Splats encode specular (directional) effects. Are they made to only be visible from a narrow field of view (so you see a different splat for different view angles?) or do they encode the specular stuff internally somehow?
vessenes · 13h ago
Because you have source imagery and colors (and therefore specular and reflective details) from different angles you can add a view angle and location based component to the material/color function; so the material is not just f(point in 3d space) it’s f(pt, view loc, view direction). That’s made differentiable and so you get viewpoint dependent colors for ‘free’.
Daub · 20h ago
This is a good question. As I understand it, the only material parameters a splat can recognize are color and transparency. Therefore the first of your two options would be the correct one.
brianshaler · 19h ago
You can use spherical harmonics to encode a few coefficients in addition to the base RGB for each splat such that the rendertime view direction can be used to compute an output RGB. A "reflection" in 3DGS isn't a light ray being traced off the surface, but instead a way of saying "when viewed from this angle, the splat may take an object's base color, while from that angle, the splat may be white because the input image had glare"

This ends up being very effective with interpolation between known viewpoints, and hit-or-miss extrapolation beyond known viewpoints.

samsartor · 1d ago
I always assumed "gaussian splatting" was a reference to old school texture splatting, where textures are alpha-blended together. AFAIK the graphcis terminology of splats as objects (in addition to splatting as a operation) is new.
mxfh · 23h ago
The prior paper by the authors spends more time explaining what's happening, would start there:

https://convexsplatting.github.io/

the seminal paper is still this one:

https://repo-sam.inria.fr/fungraph/3d-gaussian-splatting/

spookie · 20h ago
To add to the rest of the replies: color comes from spherical harmonics, which I'm sure you came across them (used traditionally for diffuse light or shadows, SuperTuxKart uses them)
jorlow · 1d ago
It's basically a blob in space. When you have millions of them, you can use gradient descent to minimize loss between them and source images.
helloplanets · 19h ago
I wonder how hard it would be to implement an extra processing step, to turn this to a more 'stylized low poly' look. Basically, the triangle count would be drastically smaller, but the topology would have to be crisp.
ToJans · 1d ago
What is we use triangular pyramids instead of triangles?

Wouldn't this lead to the full 3D representation?

cubefox · 23h ago
ImHereToVote · 1d ago
A pyramid is unnecessarily bound, a triangle performs better if it is free flowing. I understand that this performs better because there is less IO but slightly more processing. IO is the biggest cost when it comes to GPUs.
dsp_person · 1d ago
> In this paper, we argue for a triangle come back

Go team triangles!

dr_dshiv · 1d ago
Pythagoras ftw
franky47 · 23h ago
Vercel approves.
meindnoch · 22h ago
trianglebros we're so back
pttrn · 16h ago
Make triangles great again
qwertox · 1d ago
I'm so confused about the citation:

author = {Held, Jan and Vandeghen, Renaud and Deliege, Adrien and Hamdi, Abdullah and Cioppa, Anthony and Giancola, Silvio and Vedaldi, Andrea and Ghanem, Bernard and Tagliasacchi, Andrea and Van Droogenbroeck, Marc},

while on arxiv and the top of the page

Jan Held, Renaud Vandeghen, Adrien Deliege, Abdullah Hamdi, Silvio Giancola, Anthony Cioppa, Andrea Vedaldi, Bernard Ghanem, Andrea Tagliasacchi, Marc Van Droogenbroeck

enriquto · 1d ago
it's the same list of authors, written in different formats

the first one is SURNAME, NAME separated by "and"

the second one is NAME SURNAME separated by commas

The second one is easier to read by humans, but the first one makes it clearer what is the surname (which would be ambiguous otherwise, when there are composite names). But then again, the first format breaks when someone has "and" in their name, which is not unheard of.

growlNark · 23h ago
Why do they use "and"? Why not use an unambiguous joining token like `/`? This just feels like an abuse of informal language to produce fundamentally formal data.

As it stands, it certainly does not resemble readable or parseable english.

robotresearcher · 15h ago
It’s BibTex format. It’s ancient, ubiquitous, very fussy, and reads badly for humans in some cases. But it’s what we’ve been using since the 1980s.

‘Better’ formats have been proposed but none have stuck nearly as well. It works, and there’s tooling for it.

bowsamic · 22h ago
It’s how the bibtex author field is defined. You don’t get free choice here. As far as I’m aware bibtex defines and as the separator

https://bibtex.eu/fields/author/

growlNark · 22h ago
Yea but like... why? Typically you use human language operators to produce readable phrases, and this doesn't even approach readable english.
jameshart · 13h ago
The person who designed it was solving primarily for lexical sorting of the author field, thought maybe having more than two authors was an edge case, and wanted the two author case to be a logical extension of the single author one?
bowsamic · 21h ago
The answer is probably who knows since we are talking about software from 1985 which was only updated once since 1988 to clarify its licensing
cubefox · 1d ago
That's just the formatting?

author = {surname 1, first name 1 and surname 2, first name 2 and ...}

"and" is the separator.