From swept contact to pose: Probe-aware registration via complementary-shape docking

πŸ“… 2026-05-20
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πŸ€– AI Summary
This work addresses the challenge of model-to-scene registration in high-precision robotic manipulation, where optical methods suffer from long calibration chains, line-of-sight occlusions, and manufacturing inaccuracies. To overcome these limitations, the authors propose a complementary shape docking approach that fuses contact and non-contact sensing. By explicitly modeling probe geometry and reformulating registration as a shape-matching problem between the object and the probe’s swept volume, the method avoids the fragility of traditional point correspondence and eliminates reliance on external sensors. A global search based on low-discrepancy SO(3) sampling and 3D FFT is combined with SE(3) Lie algebra optimization and analytical contact sensitivity for pose refinement. The approach achieves sub-0.04 mm/0.4Β° accuracy in freeform surface simulations and 0.42 mm/3.75Β° in dental preparation robot experiments, outperforming existing optical tracking solutions.
πŸ“ Abstract
Accurate registration between a prior model and the real scene is essential for high-precision robotic manipulation, yet optical methods suffer from long calibration chains, line-of-sight constraints, and fabrication errors. We propose a calibration-free alternative that reformulates contact registration as complementary-shape docking between the object and the probe's swept volume, explicitly accounting for probe geometry and leveraging both contact and non-contact evidence. Our solver integrates a global-to-local search via 3D FFT correlation over low-discrepancy SO(3) samples, then followed by continuous SE(3) refinement using Lie-algebra updates and analytic contact sensitivities. This pipeline yields efficient exploration and metric-grade convergence without fragile point correspondences. Simulation across free-form meshes achieved sub-0.04 mm and sub-0.4Β° accuracy and robustness to pose noise and contact loss. On a tooth-preparation robot, our method attained 0.42 mm and 3.75Β°, outperforming an optical tracker registration while requiring no external sensors. These results demonstrate a practical and precise registration strategy for surgical and industrial robots.
Problem

Research questions and friction points this paper is trying to address.

registration
robotic manipulation
contact sensing
probe-aware
complementary-shape docking
Innovation

Methods, ideas, or system contributions that make the work stand out.

complementary-shape docking
probe-aware registration
contact-based pose estimation
3D FFT correlation
Lie-algebra refinement