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From Swept Contact to Pose: Probe-Aware Registration Via Complementary-Shape Docking

Chen Chen, Yunwen Li, Yifan Xu, Xiangjie Yan, Chang Shu, Jianxia Hou, Shiji Song, Xiang LI

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Key figure (auto-extracted from paper)
Reformulating contact registration as complementary-shape docking using probe swept volumes enables calibration-free, high-precision pose estimation without external sensors.
contact registration probe geometry complementary-shape docking SE(3) optimization robotic surgery calibration-free tracking

Problem

Optical registration methods suffer from long calibration chains, line-of-sight constraints, and fabrication errors, while existing contact-based approaches oversimplify probe geometry and rely on fragile point correspondences. The paper addresses the need for a calibration-free registration method that explicitly models true probe geometry and leverages both contact and non-contact trajectory evidence.

Approach

The method treats registration as a docking problem between the target object and the probe’s full swept volume, using a two-stage global search with FFT-based translation correlation and low-discrepancy orientation sampling, followed by continuous SE(3) refinement via Lie-algebra updates and analytic contact sensitivities.

Key results

  • Sub-0.04 mm and sub-0.4° accuracy in free-form mesh simulations
  • 0.42 mm and 3.75° registration error on a tooth-preparation robot
  • Outperforms optical tracker pipelines without requiring external sensors
  • Robust performance under pose noise and intermittent contact loss

Why it matters

Provides a practical, high-precision registration strategy for surgical and industrial robots by eliminating reliance on fragile optical tracking and external hardware.

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-0.4° accuracy and robustness to pose noise and contact loss. On a tooth-preparation robot, our method attained 0.42 mm and 3.75°, outperforming an optical tracker registration while requiring no external sensors. These results demonstrate a practical and precise registration strategy for surgical and industrial robots.

Index terms

Calibration and Identification Perception for Grasping and Manipulation Medical Robots and Systems

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