Modeling Uncertainty in 3D Gaussian Splatting through Continuous Semantic Splatting

Fuente: arXiv
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Autores principales: Wilson, Joey, Almeida, Marcelino, Sun, Min, Mahajan, Sachit, Ghaffari, Maani, Ewen, Parker, Ghasemalizadeh, Omid, Kuo, Cheng-Hao, Sen, Arnie
Formato: Preprint
Publicado: 2024
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author Wilson, Joey
Almeida, Marcelino
Sun, Min
Mahajan, Sachit
Ghaffari, Maani
Ewen, Parker
Ghasemalizadeh, Omid
Kuo, Cheng-Hao
Sen, Arnie
author_facet Wilson, Joey
Almeida, Marcelino
Sun, Min
Mahajan, Sachit
Ghaffari, Maani
Ewen, Parker
Ghasemalizadeh, Omid
Kuo, Cheng-Hao
Sen, Arnie
contents In this paper, we present a novel algorithm for probabilistically updating and rasterizing semantic maps within 3D Gaussian Splatting (3D-GS). Although previous methods have introduced algorithms which learn to rasterize features in 3D-GS for enhanced scene understanding, 3D-GS can fail without warning which presents a challenge for safety-critical robotic applications. To address this gap, we propose a method which advances the literature of continuous semantic mapping from voxels to ellipsoids, combining the precise structure of 3D-GS with the ability to quantify uncertainty of probabilistic robotic maps. Given a set of images, our algorithm performs a probabilistic semantic update directly on the 3D ellipsoids to obtain an expectation and variance through the use of conjugate priors. We also propose a probabilistic rasterization which returns per-pixel segmentation predictions with quantifiable uncertainty. We compare our method with similar probabilistic voxel-based methods to verify our extension to 3D ellipsoids, and perform ablation studies on uncertainty quantification and temporal smoothing.
format Preprint
id arxiv_https___arxiv_org_abs_2411_02547
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Modeling Uncertainty in 3D Gaussian Splatting through Continuous Semantic Splatting
Wilson, Joey
Almeida, Marcelino
Sun, Min
Mahajan, Sachit
Ghaffari, Maani
Ewen, Parker
Ghasemalizadeh, Omid
Kuo, Cheng-Hao
Sen, Arnie
Robotics
Computer Vision and Pattern Recognition
In this paper, we present a novel algorithm for probabilistically updating and rasterizing semantic maps within 3D Gaussian Splatting (3D-GS). Although previous methods have introduced algorithms which learn to rasterize features in 3D-GS for enhanced scene understanding, 3D-GS can fail without warning which presents a challenge for safety-critical robotic applications. To address this gap, we propose a method which advances the literature of continuous semantic mapping from voxels to ellipsoids, combining the precise structure of 3D-GS with the ability to quantify uncertainty of probabilistic robotic maps. Given a set of images, our algorithm performs a probabilistic semantic update directly on the 3D ellipsoids to obtain an expectation and variance through the use of conjugate priors. We also propose a probabilistic rasterization which returns per-pixel segmentation predictions with quantifiable uncertainty. We compare our method with similar probabilistic voxel-based methods to verify our extension to 3D ellipsoids, and perform ablation studies on uncertainty quantification and temporal smoothing.
title Modeling Uncertainty in 3D Gaussian Splatting through Continuous Semantic Splatting
topic Robotics
Computer Vision and Pattern Recognition
url https://arxiv.org/abs/2411.02547