arXiv:2604.25936cs.GRcs.CV2026-04

根据空间位置动态调整网络深度,加速隐式几何建模。

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

论文配图:SAND: Spatially Adaptive Network Depth for Fast Sampling of Neural Implicit Surfaces
图 1 · 摘自论文原文
  • 按空间复杂度自适应调节网络深度,避免冗余计算。
  • 在保持高保真度的前提下,推理速度提升显著。
  • 适合需要高效渲染的3D建模与实时应用。

隐式神经表示在几何建模中表现强大,但其实际应用常受限于网络评估带来的高计算开销。我们观察到,当查询点远离目标表面时,所需精度逐渐降低,且同一等值面上不同区域的几何复杂度也存在空间差异。然而,传统神经隐式模型对所有查询点采用相同的网络深度和计算成本,忽略了这种空间变化,造成大量计算浪费。为此,我们提出一种空间自适应网络深度(SAND)框架。SAND利用体素化网络深度图记录各空间区域达到足够精度所需的深度,并结合尾部多层感知机(T-MLP)建模隐式表示。T-MLP在每层隐藏层附加一个输出分支(尾部),使网络可在满足精度要求时提前终止,无需遍历完整网络,从而将计算资源集中在几何重要且复杂的区域,既提升了效率,又保持了高保真表示。大量实验表明,该方法能显著加快隐式神经表示的推理速度。

原文摘要 · Abstract (English)

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.

隐式表示自适应计算3D建模

Thank you to arXiv for use of its open access interoperability. PaperDance 不是 arXiv 官方产品;中文卡片由大模型生成,请以原文为准。