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OREN is a new method for reconstructing signed distance functions (SDFs) from point cloud data that combines octree interpolation with neural network regression. The hybrid approach achieves non-truncated Euclidean SDF reconstruction while maintaining computational efficiency comparable to traditional volumetric methods and the accuracy and differentiability of neural network approaches. Experiments demonstrate that OREN outperforms existing state-of-the-art methods in both accuracy and efficiency for large-scale 3D mapping tasks.


This technique addresses critical limitations in robotic systems that require real-time 3D environment mapping for navigation, motion planning, and control. The method's ability to efficiently reconstruct accurate and differentiable distance functions at scale could improve autonomous robot performance in complex environments while reducing computational requirements and memory constraints.


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arXiv:2510.18999v3 Announce Type: replace-cross
Abstract: Reconstructing signed distance functions (SDFs) from point cloud data benefits many robot autonomy capabilities, including localization, mapping, motion planning, and control. Methods that support online and large-scale SDF reconstruction often rely on discrete volumetric data structures, which affects the continuity and differentiability of the SDF estimates. Neural network methods have demonstrated high-fidelity differentiable SDF reconstruction but they tend to be less efficient, experience catastrophic forgetting and memory limitations in large environments, and are often restricted to truncated SDF. This work proposes OREN, a hybrid method that combines an explicit prior from octree interpolation with an implicit residual from neural network regression. Our method achieves non-truncated (Euclidean) SDF reconstruction with computational and memory efficiency comparable to volumetric methods and differentiability and accuracy comparable to neural network methods. Extensive experiments demonstrate that OREN outperforms the state of the art in terms of accuracy and efficiency, providing a scalable solution for downstream tasks in robotics and computer vision.

Source: OREN: Octree Residual Network for Real-Time Euclidean Signed Distance Mapping