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一种可微优化框架,用于配准点云流中的连续三维边界框

A Differentiable Optimization Framework for Registering Sequential Bounding Boxes with Point Cloud Stream

Xuesong Li, Jinguang Tong, Jie Hong

arXiv 2609.34103首次发表:更新:

发表机构

CSIRO; The University of Hong Kong(澳大利亚联邦科学与工业研究组织; 香港大学)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

提出免训练可微优化框架,将时间平滑约束融入配准目标,用L-BFGS联合求解连续边界框,在良好可见性下显著降低粗糙度,并揭示可见性限制及速度噪声导致的性能边界。

AI 中文摘要

针对LiDAR点云流细化一系列粗三维边界框,需要几何精确(高IoU)且时间连贯(低粗糙度)的轨迹,最好无需训练数据。通常的做法将这两个关注点分开处理:独立配准每一帧,然后用Kalman-RTS或Savitzky-Golay滤波器对轨迹进行平滑。平滑会使边界框偏离几何最优位置,且不再重新优化,因此以精度换取平滑度。我们转而将时间平滑约束纳入免训练的配准目标中,并使用L-BFGS联合求解所有姿态。收益取决于目标被观察到的程度。在观察良好的轨迹上收益显著:在低粗糙度预算内,联合目标在多随机种子的配对统计上优于两种事后平滑器,并在匹配精度下将粗糙度相对于逐帧配准降低数倍。将可见性作为实验变量揭示了其极限。随着视角变为单侧,优势单调衰减,直至对近边缘物体与零无显著差异,并在具有距离相关密度和自运动的射线投射模拟器下略为负值,此时解耦流程在严格粗糙度预算下实际上领先。我们定位了这一边界,并将其追溯到一个项:方向对齐将偏航角与估计速度绑定,一旦速度估计有噪声,该项即失效。一个无需真值的规则可以选择时间尺度,并使每条轨迹保持在粗糙度预算内。

英文摘要

Refining a sequence of coarse 3D bounding boxes against a LiDAR point-cloud stream demands tracks that are geometrically accurate (high IoU) and temporally coherent (low roughness), preferably without training data. The usual recipe keeps the two concerns apart: register each frame independently, then smooth the trajectory afterwards with a Kalman~RTS or Savitzky--Golay filter. Smoothing displaces boxes from a geometric optimum and never re-optimises, so it trades accuracy for smoothness. We instead fold the temporal smoothness constraint into a training-free registration objective and solve for all poses jointly with L-BFGS. The payoff depends on how well the object is seen. On well-observed tracks it is large: within the low-roughness budget, the joint objective beats both post-hoc smoothers on paired multi-seed statistics and cuts roughness several-fold relative to frame-wise registration at matched accuracy. Treating visibility as an experimental variable exposes the limit. The advantage decays monotonically as views become one-sided, until it is indistinguishable from zero for near-edge-on objects and slightly negative under a ray-cast simulator with range-dependent density and ego motion, where the decoupled pipeline is in fact ahead at tight roughness budgets. We locate that boundary and trace it to one term: orientation alignment ties yaw to the estimated velocity and fails once that estimate is noisy. A ground-truth-free rule can choose the temporal scale and keep every track inside the roughness budget.

Commentsaccepted by AJCAI 26

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