arXiv:2608.10888cs.CV2026-08

基于传感器数据构建三维点云的各向异性不确定性模型,提升重建精度。

Sensor-Informed Per-Point Covariance for Structured-Light 3D Imaging

论文配图:Sensor-Informed Per-Point Covariance for Structured-Light 3D Imaging
图 1 · 摘自论文原文
  • 从实测相位精度和标定映射出发,计算每点3×3协方差矩阵
  • 实验显示主要不确定性方向与视线一致,且与深度不确定性吻合
  • 适用于需要精确不确定性的高精度重建场景

在结构光三维重建中,点云协方差对概率配准、融合与质量评估至关重要。然而,实际中协方差常被建模为各向同性常数或由局部表面几何推导,未能显式反映测量过程。在条纹投影轮廓术(FPP)中,相位噪声经标定重建后传播,产生强各向异性三维不确定性。本文提出一种传感器驱动的一阶方法,基于实验测得的相位精度及标定的相位-深度和相位-3D映射,构建每点的3×3协方差场。该方法将秩1的相位诱导协方差与通过拟合侧向图像空间扰动尺度获得的有效全秩补全分离。在固定成像条件下重复平面实验表明,主协方差方向与视向高度一致,且主导相位诱导不确定性尺度与标量深度不确定性一致。在G-ICP配准中,所提协方差显著优于恒定各向同性模型,提供了与传统几何基协方差互补的传感器衍生不确定性表征。

原文摘要 · Abstract (English)

Per-point uncertainty models are important in structured-light 3D reconstruction for probabilistic registration, fusion, and quality assessment. In practice, however, point-cloud covariances are often modeled as isotropic constants or inferred from local surface geometry and therefore do not explicitly reflect the measurement process. This is a limitation in fringe projection profilometry (FPP), where phase noise propagates through calibrated reconstruction and produces strongly anisotropic 3D uncertainty. This paper presents a sensor-informed first-order method for constructing a per-point 3 x 3 covariance field from experimentally measured phase precision and calibrated phase-to-depth and phase-to-3D mappings. The formulation separates a rank-1 phase-induced covariance from an effective full-rank completion obtained by incorporating fitted lateral image-space perturbation scales. Repeated-plane experiments under fixed imaging conditions show close alignment of the dominant covariance direction with the viewing ray, and consistency between the dominant phase-induced uncertainty scale and scalar depth uncertainty. In G-ICP registration, the proposed covariance substantially improves over a constant isotropic model while providing a sensor-derived uncertainty representation complementary to conventional geometry-based covariances.

3D重建不确定性建模结构光

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