Reproduce “SAND: Spatially Adaptive Network Depth for Fast Sampling of Neural Implicit Surfaces” on OpenResearch

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About this paper

Chuanxiang Yang, Junhui Hou, Yuan Liu, Siyu Ren, Guangshun Wei, Taku Komura, Yuanfeng Zhou, Wenping Wang

The SAND framework introduces a spatially adaptive network depth mechanism for neural implicit surfaces, dynamically adjusting computational effort based on a query point's proximity to the surface and local geometric complexity. This approach substantially accelerates inference speed, with SAND-SIREN achieving total inference times of 0.310s (Stanford) and 0.344s (Thingi10K) compared to SIREN's ~12s, while preserving or enhancing geometric reconstruction accuracy.

Key insights

  • Computational effort for neural implicit surfaces can be optimized by adaptively varying network depth based on a query point's spatial location relative to the surface and its local geometric complexity.
  • A Multi-Layer Perceptron can be structured with cumulative residual outputs at each layer, enabling early termination and focused learning of progressively finer details.
  • An octree-based depth map provides an efficient mechanism to pre-determine and store the necessary network evaluation depth for different spatial regions, avoiding dynamic runtime overhead.

Summary by alphaXiv.

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