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[submodule "submodules/simple-knn"] | ||
path = submodules/simple-knn | ||
url = https://gitlab.inria.fr/bkerbl/simple-knn.git | ||
[submodule "submodules/diff-gaussian-rasterization"] | ||
path = submodules/diff-gaussian-rasterization | ||
url = https://github.com/graphdeco-inria/diff-gaussian-rasterization | ||
[submodule "SIBR_viewers"] | ||
path = SIBR_viewers | ||
url = https://gitlab.inria.fr/sibr/sibr_core.git | ||
[submodule "submodules/diff-gaussian-rasterization"] | ||
path = submodules/diff-gaussian-rasterization | ||
url = [email protected]:shakibakh/diff-gaussian-rasterization.git | ||
branch = gs-mcmc |
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<html lang="en"> | ||
<head> | ||
<link rel="stylesheet" href="./resources/css/bulma.min.css" /> | ||
<link rel="stylesheet" href="./resources/css/slide.css" /> | ||
<link rel="stylesheet" href="./resources/css/bulma-carousel.min.css" /> | ||
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<link rel="stylesheet" href="./resources/css/fontawesome.all.min.css" /> | ||
<link rel="stylesheet" href="./resources/css/carasoul.css" /> | ||
<link | ||
rel="stylesheet" | ||
href="https://cdn.jsdelivr.net/gh/jpswalsh/academicons@1/css/academicons.min.css" | ||
/> | ||
<link rel="stylesheet" href="./resources/css/index.css" /> | ||
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<link | ||
rel="stylesheet" | ||
href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/4.7.0/css/font-awesome.min.css" | ||
/> | ||
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type="text/css" | ||
href="./resources/css/style.css" | ||
media="screen" | ||
/> | ||
<link rel="stylesheet" href="resources/css/dics.original.css" /> | ||
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<title>3D Gaussian Splatting as Markov Chain Monte Carlo</title> | ||
<meta | ||
property="og:title" | ||
content="3D Gaussian Splatting as Markov Chain Monte Carlo" | ||
/> | ||
<meta name="viewport" content="width=device-width, initial-scale=1.0" /> | ||
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<style> | ||
body { | ||
text-align: center; | ||
background-color: #f0f0f0; /* Optional: Set a background color for better visibility */ | ||
} | ||
.larger-arrow { | ||
font-size: 2em; /* Adjust the font size as needed */ | ||
letter-spacing: 4em; /* Adjust the letter spacing as needed */ | ||
display: inline-block; /* Ensures text-align works */ | ||
} | ||
.tbl_video { | ||
margin-bottom: 40px; | ||
} | ||
</style> | ||
<script src="resources/js/video_comparison.js"></script> | ||
<script src="resources/js/dics.original.js"></script> | ||
</head> | ||
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<body> | ||
<div class="container"> | ||
<div class="title"> | ||
3D Gaussian Splatting as Markov Chain Monte Carlo | ||
</div> | ||
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<div class="container is-max-desktop"> | ||
<div class="columns is-centered"> | ||
<div class="column has-text-centered"> | ||
<div class="is-size-5 publication-authors"> | ||
<span class="author-block"> | ||
<a href="https://shakibakh.github.io/">Shakiba Kheradmand</a | ||
><sup>1</sup>,</span | ||
> | ||
<span class="author-block"> | ||
<a href="http://drebain.com/"> Daniel Rebain</a | ||
><sup>1</sup>,</span | ||
> | ||
<span class="author-block"> | ||
<a href="https://hippogriff.github.io/"> Gopal Sharma</a | ||
><sup>1</sup>,</span | ||
> | ||
<span class="author-block"> | ||
<a href="http://www.hossamisack.com/">Hossam Isack</a | ||
><sup>2</sup>, | ||
</span> | ||
<span class="author-block"> | ||
<a href="https://abhishekkar.info/">Abhishek Kar</a><sup>2</sup> | ||
</span> | ||
<br /> | ||
<span class="author-block"> | ||
<a href="https://taiya.github.io/">Andrea Tagliasacchi</a | ||
><sup>3, 4, 5</sup> | ||
</span> | ||
<span class="author-block"> | ||
<a href="https://www.cs.ubc.ca/~kmyi/">Kwang Moo Yi</a | ||
><sup>1</sup> | ||
</span> | ||
</div> | ||
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||
<div class="is-size-5 publication-authors"> | ||
<span class="author-block" | ||
><sup>1</sup>University of British Columbia</span | ||
> | ||
<span class="author-block"><sup>2</sup>Google Research</span> | ||
<span class="author-block"><sup>3</sup>Google DeepMind</span> | ||
<br /> | ||
<span class="author-block" | ||
><sup>4</sup>Simon Fraser University</span | ||
> | ||
<span class="author-block" | ||
><sup>5</sup>University of Toronto</span | ||
> | ||
</div> | ||
</div> | ||
</div> | ||
</div> | ||
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<div class="column has-text-centered"> | ||
<div class="publication-links"> | ||
<!-- Paper Link. --> | ||
<span class="link-block"> | ||
<!-- <a href="https://arxiv.org/abs/2404.09591" class="external-link button is-normal is-rounded is-dark"> --> | ||
<a | ||
href="paper.pdf" | ||
class="external-link button is-normal is-rounded is-dark" | ||
> | ||
<span class="icon"> | ||
<i class="fa fa-file-o"></i> | ||
</span> | ||
<span>Paper</span> | ||
</a> | ||
</span> | ||
<!-- Code Link. --> | ||
<span class="link-block"> | ||
<a | ||
href="https://github.com/ubc-vision/3dgs-mcmc" | ||
class="external-link button is-normal is-rounded is-dark" | ||
> | ||
<span class="icon"> | ||
<svg | ||
class="svg-inline--fa fa-github fa-w-16" | ||
aria-hidden="true" | ||
focusable="false" | ||
data-prefix="fab" | ||
data-icon="github" | ||
role="img" | ||
xmlns="http://www.w3.org/2000/svg" | ||
viewBox="0 0 496 512" | ||
data-fa-i2svg="" | ||
> | ||
<path | ||
fill="currentColor" | ||
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></path></svg | ||
><!-- <i class="fab fa-github"></i> Font Awesome fontawesome.com --> | ||
</span> | ||
<span>Code</span> | ||
</a> | ||
</span> | ||
</div> | ||
</div> | ||
|
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<div class="parent-video-compare-container"> | ||
<hr /> | ||
</div> | ||
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<div class="parent-video-compare-container"> | ||
<div class="video-compare-container" id="materialsDiv"> | ||
<video | ||
class="video" | ||
id="materials" | ||
loop | ||
playsinline | ||
autoplay | ||
muted | ||
src="./resources/training_rand_compare/bicycle_both-rand.mp4" | ||
onplay="resizeAndPlay(this)" | ||
></video> | ||
<canvas height="0" class="videoMerge" id="materialsMerge"></canvas> | ||
</div> | ||
<br> | ||
<p class="justified"> | ||
Novel view reconstructions for <strong>(right) our method</strong> | ||
and <strong>(left) conventional</strong> 3D Gaussian Splatting with | ||
random initializations. Our method, even with random initialization, | ||
faithfully reconstructs the scene (e.g.. buildings at the back and | ||
the ground texture) providing much higher quality renderings. | ||
</p> | ||
</div> | ||
|
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<div class="parent-video-compare-container"> | ||
<hr /> | ||
</div> | ||
|
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<h1>Abstract</h1> | ||
<div class="parent-video-compare-container"> | ||
<p class="justified"> | ||
While 3D Gaussian Splatting has recently become popular for neural | ||
rendering, current methods rely on carefully engineered cloning and | ||
splitting strategies for placing Gaussians, which can lead to | ||
poor-quality renderings, and reliance on a good initialization. In | ||
this work, we rethink the set of 3D Gaussians as a random sample | ||
drawn from an underlying probability distribution describing the | ||
physical representation of the scene---in other words, Markov Chain | ||
Monte Carlo (MCMC) samples. Under this view, we show that the 3D | ||
Gaussian updates can be converted as Stochastic Gradient Langevin | ||
Dynamics (SGLD) update by simply introducing noise. We then rewrite | ||
the densification and pruning strategies in 3D Gaussian Splatting as | ||
simply a deterministic state transition of MCMC samples, removing | ||
these heuristics from the framework. To do so, we revise the | ||
`cloning' of Gaussians into a relocalization scheme that | ||
approximately preserves sample probability. To encourage efficient | ||
use of Gaussians, we introduce a regularizer that promotes the | ||
removal of unused Gaussians. On various standard evaluation scenes, | ||
we show that our method provides improved rendering quality, easy | ||
control over the number of Gaussians, and robustness to | ||
initialization. | ||
</p> | ||
</div> | ||
|
||
<div class="parent-video-compare-container"> | ||
<hr /> | ||
</div> | ||
|
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<h1>More Results</h1> | ||
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<div class="parent-video-compare-container"> | ||
<table class="tbl_video" style="width:100%;""> | ||
<tr> | ||
<td colspan="4" style="background-color: #d1c4ce; font-size: 20px"> | ||
'10' sequence from OMMO dataset | ||
</td> | ||
</tr> | ||
<tr> | ||
<td width="50%" style="font-size: 18px">3DGS-Random</td> | ||
<td width="50%" style="font-size: 18px">3DGS</td> | ||
</tr> | ||
<tr> | ||
<td colspan="2"> | ||
<video | ||
class="kitti360" | ||
id="00" | ||
width="95%" | ||
preload="auto" | ||
playsinline | ||
webkit-playsinline | ||
loop | ||
autoplay | ||
muted | ||
> | ||
<source src="resources/10/10.mp4" type="video/mp4" /> | ||
</video> | ||
</td> | ||
</tr> | ||
<tr> | ||
<td width="50%" style="font-size: 18px">Ours-Random</td> | ||
<td width="50%" style="font-size: 18px">Ours</td> | ||
</tr> | ||
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||
<table class="tbl_video" style="width:100%;""> | ||
<tr> | ||
<td colspan="4" style="background-color: #d1c4ce; font-size: 20px"> | ||
'Stump' sequence from the MipNeRF360 dataset (pay attention to the | ||
details between the leaves) | ||
</td> | ||
</tr> | ||
<tr> | ||
<td width="50%" style="font-size: 18px">3DGS-Random</td> | ||
<td width="50%" style="font-size: 18px">3DGS</td> | ||
</tr> | ||
<tr> | ||
<td colspan="2"> | ||
<video | ||
class="kitti360" | ||
id="00" | ||
width="95%" | ||
preload="auto" | ||
playsinline | ||
webkit-playsinline | ||
loop | ||
autoplay | ||
muted | ||
> | ||
<source src="resources/stump/stump.mp4" type="video/mp4" /> | ||
</video> | ||
</td> | ||
</tr> | ||
<tr> | ||
<td width="50%" style="font-size: 18px">Ours-Random</td> | ||
<td width="50%" style="font-size: 18px">Ours</td> | ||
</tr> | ||
</div> | ||
</div> | ||
</body> | ||
</html> |
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