Geometry Distributions

Fuente: arXiv
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Autori principali: Zhang, Biao, Ren, Jing, Wonka, Peter
Natura: Preprint
Pubblicazione: 2024
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author Zhang, Biao
Ren, Jing
Wonka, Peter
author_facet Zhang, Biao
Ren, Jing
Wonka, Peter
contents Neural representations of 3D data have been widely adopted across various applications, particularly in recent work leveraging coordinate-based networks to model scalar or vector fields. However, these approaches face inherent challenges, such as handling thin structures and non-watertight geometries, which limit their flexibility and accuracy. In contrast, we propose a novel geometric data representation that models geometry as distributions-a powerful representation that makes no assumptions about surface genus, connectivity, or boundary conditions. Our approach uses diffusion models with a novel network architecture to learn surface point distributions, capturing fine-grained geometric details. We evaluate our representation qualitatively and quantitatively across various object types, demonstrating its effectiveness in achieving high geometric fidelity. Additionally, we explore applications using our representation, such as textured mesh representation, neural surface compression, dynamic object modeling, and rendering, highlighting its potential to advance 3D geometric learning.
format Preprint
id arxiv_https___arxiv_org_abs_2411_16076
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Geometry Distributions
Zhang, Biao
Ren, Jing
Wonka, Peter
Computer Vision and Pattern Recognition
Graphics
Neural representations of 3D data have been widely adopted across various applications, particularly in recent work leveraging coordinate-based networks to model scalar or vector fields. However, these approaches face inherent challenges, such as handling thin structures and non-watertight geometries, which limit their flexibility and accuracy. In contrast, we propose a novel geometric data representation that models geometry as distributions-a powerful representation that makes no assumptions about surface genus, connectivity, or boundary conditions. Our approach uses diffusion models with a novel network architecture to learn surface point distributions, capturing fine-grained geometric details. We evaluate our representation qualitatively and quantitatively across various object types, demonstrating its effectiveness in achieving high geometric fidelity. Additionally, we explore applications using our representation, such as textured mesh representation, neural surface compression, dynamic object modeling, and rendering, highlighting its potential to advance 3D geometric learning.
title Geometry Distributions
topic Computer Vision and Pattern Recognition
Graphics
url https://arxiv.org/abs/2411.16076