用熵控制3D高斯分布,让模型自动删冗余、保关键结构。
Gaussian Entropy Fields: Driving Adaptive Sparsity in 3D Gaussian Optimization
- 通过最小化配置熵,让主导高斯体定义表面,抑制冗余点。
- 在DTU上实现0.64的最优Chamfer Distance,T& T上达0.44 F1分数。
- 适合追求高质量3D重建且关注几何精度的研究者。
3D高斯溅射(3DGS)已成为新视角合成的领先技术,表现出卓越的渲染效率。关键洞察在于,重建良好的表面自然具有低配置熵:主导的原始体清晰定义几何结构,同时抑制冗余成分。本文提出三项互补技术:(1) 基于熵最小化的熵驱动表面建模,以实现原始分布的低配置熵;(2) 基于表面邻域冗余指数(SNRI)的自适应空间正则化及图像熵引导加权;(3) 通过竞争性跨尺度熵对齐实现多尺度几何保真。大量实验表明,GEF在DTU和T&T基准上达到媲美现有方法的几何精度,且在Mip-NeRF 360上呈现更优的渲染质量。显著成果包括:在DTU上获得0.64的最优Chamfer Distance,T&T上达0.44 F1得分,同时在Mip-NeRF 360上取得0.855的最高SSIM与0.136的最低LPIPS,验证了该框架在不损害光度保真度的前提下提升表面重建准确性的能力。
原文摘要 · Abstract (English)
3D Gaussian Splatting (3DGS) has emerged as a leading technique for novel view synthesis, demonstrating exceptional rendering efficiency. \replaced[]{Well-reconstructed surfaces can be characterized by low configurational entropy, where dominant primitives clearly define surface geometry while redundant components are suppressed.}{The key insight is that well-reconstructed surfaces naturally exhibit low configurational entropy, where dominant primitives clearly define surface geometry while suppressing redundant components.} Three complementary technical contributions are introduced: (1) entropy-driven surface modeling via entropy minimization for low configurational entropy in primitive distributions; (2) adaptive spatial regularization using the Surface Neighborhood Redundancy Index (SNRI) and image entropy-guided weighting; (3) multi-scale geometric preservation through competitive cross-scale entropy alignment. Extensive experiments demonstrate that GEF achieves competitive geometric precision on DTU and T\&T benchmarks, while delivering superior rendering quality compared to existing methods on Mip-NeRF 360. Notably, superior Chamfer Distance (0.64) on DTU and F1 score (0.44) on T\&T are obtained, alongside the best SSIM (0.855) and LPIPS (0.136) among baselines on Mip-NeRF 360, validating the framework's ability to enhance surface reconstruction accuracy without compromising photometric fidelity.
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