用少量带透明度的点元实现高精度3D重建,光照物理约束提升几何精度。
Point-Based 3D Reconstruction from Sparse Views under Known Illumination

- 引入带透明度的beta点元,支持可微渲染与光照传输优化
- 仅用267个点元平均即达最低对称Chamfer距离,较最强基线降28.5%
- 适合光照已知、追求轻量高精度重建的场景
稀疏视图3D重建通常采用神经隐式表面或密集点表示(如Gaussian splatting)。表面感知的点元方法通过方向性原语和正则化提升几何质量,RadiosityGS则基于辐射度启发的有限元点元实现可微光照传输。本文提出一种基于透明度携带的beta点元的可微点渲染方法。显式透明度的伴随光照传输公式提供点元几何与外观参数的梯度,使物理光照传输约束重建过程。在五个合成物体、十张姿态图像下,本方法在均方对称Chamfer距离上优于所有对比基线,相较最强点基线降低28.5%的均值Chamfer距离,且平均仅使用267个点元,约比基线少161个。方向性Chamfer结果进一步显示更优精度与竞争力的补全能力。结果表明,在可控直接光照条件下,结合光照传输优化的紧凑beta点元可无需依赖数十万级点元实现高质量表面恢复。
原文摘要 · Abstract (English)
Sparse view 3D reconstruction is commonly addressed with neural implicit surfaces or dense point-based representations such as Gaussian splatting. Surface-aware splatting methods improve extracted geometry through oriented primitives and regularization, while RadiosityGS incorporates differentiable light transport through a radiosity inspired finite-element surfel formulation. We propose a differentiable point rendering method based on opacity-bearing beta surfels. An opacity explicit adjoint light transport formulation provides gradients for surfel geometry and appearance parameters, allowing physically based light transport to constrain reconstruction. Across five synthetic objects reconstructed from ten posed views, our method achieves the lowest mean symmetric Chamfer distance among the evaluated baselines and reduces mean Chamfer distance by 28.5% relative to the strongest point-based baseline while using only 267 surfels on average, approximately ~161 fewer primitives. Directional Chamfer results further show improved accuracy and competitive completion relative to related point-based methods. These results show that, in the controlled direct illumination setting, compact beta surfels combined with transport-based optimization can recover surfaces without relying on the tens to hundreds of thousands of primitives used by the evaluated baselines.
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