arXiv:2409.09790cs.CVcs.AI2024-09ICRA

用深度矩阵分解解决旋转平均问题,无需标签也能鲁棒建模。

Multiple Rotation Averaging with Constrained Reweighting Deep Matrix Factorization

  • 通过显式低秩对称的神经网络直接求解旋转平均
  • 结合树状边过滤与重加权策略,提升抗噪能力
  • 适合无标签数据的三维视觉与机器人定位任务

多旋转平均在计算机视觉与机器人领域至关重要。传统优化方法依赖特定噪声假设,而多数学习方法需监督标签。针对手工设定噪声假设在真实场景中可能不成立的问题,本文提出一种无需标签的学习型旋转平均方法。具体地,将深度矩阵分解应用于无约束线性空间,直接求解多旋转平均问题。设计的神经网络显式具有低秩与对称性,更契合旋转平均背景;同时采用基于生成树的边过滤机制抑制旋转异常值影响,并引入重加权方案与动态深度选择策略进一步增强鲁棒性。实验在多个数据集上验证了所提方法的有效性。

原文摘要 · Abstract (English)

Multiple rotation averaging plays a crucial role in computer vision and robotics domains. The conventional optimization-based methods optimize a nonlinear cost function based on certain noise assumptions, while most previous learning-based methods require ground truth labels in the supervised training process. Recognizing the handcrafted noise assumption may not be reasonable in all real-world scenarios, this paper proposes an effective rotation averaging method for mining data patterns in a learning manner while avoiding the requirement of labels. Specifically, we apply deep matrix factorization to directly solve the multiple rotation averaging problem in unconstrained linear space. For deep matrix factorization, we design a neural network model, which is explicitly low-rank and symmetric to better suit the background of multiple rotation averaging. Meanwhile, we utilize a spanning tree-based edge filtering to suppress the influence of rotation outliers. What's more, we also adopt a reweighting scheme and dynamic depth selection strategy to further improve the robustness. Our method synthesizes the merit of both optimization-based and learning-based methods. Experimental results on various datasets validate the effectiveness of our proposed method.

旋转平均深度矩阵分解无监督学习三维重建

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