SAND: Spatially Adaptive Network Depth for Fast Sampling of Neural Implicit Surfaces

Fuente: arXiv
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Autori principali: Yang, Chuanxiang, Hou, Junhui, Liu, Yuan, Ren, Siyu, Wei, Guangshun, Komura, Taku, Zhou, Yuanfeng, Wang, Wenping
Natura: Preprint
Pubblicazione: 2026
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author Yang, Chuanxiang
Hou, Junhui
Liu, Yuan
Ren, Siyu
Wei, Guangshun
Komura, Taku
Zhou, Yuanfeng
Wang, Wenping
author_facet Yang, Chuanxiang
Hou, Junhui
Liu, Yuan
Ren, Siyu
Wei, Guangshun
Komura, Taku
Zhou, Yuanfeng
Wang, Wenping
contents Implicit neural representations are powerful for geometric modeling, but their practical use is often limited by the high computational cost of network evaluations. We observe that implicit representations require progressively lower accuracy as query points move farther from the target surface, and that even within the same iso-surface, representation difficulty varies spatially with local geometric complexity. However, conventional neural implicit models evaluate all query points with the same network depth and computational cost, ignoring this spatial variation and thereby incurring substantial computational waste. Motivated by this observation, we propose an efficient neural implicit geometry representation framework with spatially adaptive network depth (SAND). SAND leverages a volumetric network-depth map together with a tailed multi-layer perceptron (T-MLP) to model implicit representation. The volumetric depth map records, for each spatial region, the network depth required to achieve sufficient accuracy, while the T-MLP is a modified MLP designed to learn implicit functions such as signed distance functions, where an output branch, referred to as a tail, is attached to each hidden layer. This design allows network evaluation to terminate adaptively without traversing the full network and directs computational resources to geometrically important and complex regions, improving efficiency while preserving high-fidelity representations. Extensive experimental results demonstrate that our approach can significantly improve the inference-time query speed of implicit neural representations.
format Preprint
id arxiv_https___arxiv_org_abs_2604_25936
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle SAND: Spatially Adaptive Network Depth for Fast Sampling of Neural Implicit Surfaces
Yang, Chuanxiang
Hou, Junhui
Liu, Yuan
Ren, Siyu
Wei, Guangshun
Komura, Taku
Zhou, Yuanfeng
Wang, Wenping
Graphics
Computer Vision and Pattern Recognition
Image and Video Processing
Implicit neural representations are powerful for geometric modeling, but their practical use is often limited by the high computational cost of network evaluations. We observe that implicit representations require progressively lower accuracy as query points move farther from the target surface, and that even within the same iso-surface, representation difficulty varies spatially with local geometric complexity. However, conventional neural implicit models evaluate all query points with the same network depth and computational cost, ignoring this spatial variation and thereby incurring substantial computational waste. Motivated by this observation, we propose an efficient neural implicit geometry representation framework with spatially adaptive network depth (SAND). SAND leverages a volumetric network-depth map together with a tailed multi-layer perceptron (T-MLP) to model implicit representation. The volumetric depth map records, for each spatial region, the network depth required to achieve sufficient accuracy, while the T-MLP is a modified MLP designed to learn implicit functions such as signed distance functions, where an output branch, referred to as a tail, is attached to each hidden layer. This design allows network evaluation to terminate adaptively without traversing the full network and directs computational resources to geometrically important and complex regions, improving efficiency while preserving high-fidelity representations. Extensive experimental results demonstrate that our approach can significantly improve the inference-time query speed of implicit neural representations.
title SAND: Spatially Adaptive Network Depth for Fast Sampling of Neural Implicit Surfaces
topic Graphics
Computer Vision and Pattern Recognition
Image and Video Processing
url https://arxiv.org/abs/2604.25936