GES: generalized exponential splatting for efficient radiance field rendering

Advancements in 3D Gaussian Splatting have significantly accelerated 3D reconstruction and generation. However, it may require a large number of Gaussians, which creates a substantial memory footprint. This paper introduces GES (Generalized Exponential Splatting), a novel representation that employs...

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Main Authors: Hamdi, A, Melas-Kyriazi, L, Mai, J, Qian, G, Liu, R, Vondrick, C, Ghanem, B, Vedaldi, A
Format: Internet publication
Language:English
Published: 2024
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author Hamdi, A
Melas-Kyriazi, L
Mai, J
Qian, G
Liu, R
Vondrick, C
Ghanem, B
Vedaldi, A
author_facet Hamdi, A
Melas-Kyriazi, L
Mai, J
Qian, G
Liu, R
Vondrick, C
Ghanem, B
Vedaldi, A
author_sort Hamdi, A
collection OXFORD
description Advancements in 3D Gaussian Splatting have significantly accelerated 3D reconstruction and generation. However, it may require a large number of Gaussians, which creates a substantial memory footprint. This paper introduces GES (Generalized Exponential Splatting), a novel representation that employs Generalized Exponential Function (GEF) to model 3D scenes, requiring far fewer particles to represent a scene and thus significantly outperforming Gaussian Splatting methods in efficiency with a plug-and-play replacement ability for Gaussian-based utilities. GES is validated theoretically and empirically in both principled 1D setup and realistic 3D scenes. It is shown to represent signals with sharp edges more accurately, which are typically challenging for Gaussians due to their inherent low-pass characteristics. Our empirical analysis demonstrates that GEF outperforms Gaussians in fitting natural-occurring signals (e.g. squares, triangles, and parabolic signals), thereby reducing the need for extensive splitting operations that increase the memory footprint of Gaussian Splatting. With the aid of a frequency-modulated loss, GES achieves competitive performance in novel-view synthesis benchmarks while requiring less than half the memory storage of Gaussian Splatting and increasing the rendering speed by up to 39%. The code is available on the project website https://abdullahamdi.com/ges
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spelling oxford-uuid:0db3998c-635d-4f31-bce4-2308934396c52025-02-17T14:03:40ZGES: generalized exponential splatting for efficient radiance field renderingInternet publicationhttp://purl.org/coar/resource_type/c_7ad9uuid:0db3998c-635d-4f31-bce4-2308934396c5EnglishSymplectic Elements2024Hamdi, AMelas-Kyriazi, LMai, JQian, GLiu, RVondrick, CGhanem, BVedaldi, AAdvancements in 3D Gaussian Splatting have significantly accelerated 3D reconstruction and generation. However, it may require a large number of Gaussians, which creates a substantial memory footprint. This paper introduces GES (Generalized Exponential Splatting), a novel representation that employs Generalized Exponential Function (GEF) to model 3D scenes, requiring far fewer particles to represent a scene and thus significantly outperforming Gaussian Splatting methods in efficiency with a plug-and-play replacement ability for Gaussian-based utilities. GES is validated theoretically and empirically in both principled 1D setup and realistic 3D scenes. It is shown to represent signals with sharp edges more accurately, which are typically challenging for Gaussians due to their inherent low-pass characteristics. Our empirical analysis demonstrates that GEF outperforms Gaussians in fitting natural-occurring signals (e.g. squares, triangles, and parabolic signals), thereby reducing the need for extensive splitting operations that increase the memory footprint of Gaussian Splatting. With the aid of a frequency-modulated loss, GES achieves competitive performance in novel-view synthesis benchmarks while requiring less than half the memory storage of Gaussian Splatting and increasing the rendering speed by up to 39%. The code is available on the project website https://abdullahamdi.com/ges
spellingShingle Hamdi, A
Melas-Kyriazi, L
Mai, J
Qian, G
Liu, R
Vondrick, C
Ghanem, B
Vedaldi, A
GES: generalized exponential splatting for efficient radiance field rendering
title GES: generalized exponential splatting for efficient radiance field rendering
title_full GES: generalized exponential splatting for efficient radiance field rendering
title_fullStr GES: generalized exponential splatting for efficient radiance field rendering
title_full_unstemmed GES: generalized exponential splatting for efficient radiance field rendering
title_short GES: generalized exponential splatting for efficient radiance field rendering
title_sort ges generalized exponential splatting for efficient radiance field rendering
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