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arxiv: 2604.15638 · v1 · submitted 2026-04-17 · 💻 cs.RO · cs.SY· eess.SY· math.OC

Contact-Aware Planning and Control of Continuum Robots in Highly Constrained Environments

Aedan Mangan , Kehan Long , Ki Myung Brian Lee , Miheer Potdar , Nikolay Atanasov , Tania K. Morimoto This is my paper

Pith reviewed 2026-05-10 08:41 UTC · model grok-4.3

classification 💻 cs.RO cs.SYeess.SYmath.OC
keywords continuum robotscontact-aware planningmotion planningconstrained environmentsanatomical navigationrobot controlJacobianhardware validation
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The pith

Continuum robots navigate highly constrained environments by planning paths that evaluate and penalize hazardous contacts while permitting benign ones.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper introduces a planning method for continuum robots that accounts for contact quality in tight spaces like blood vessels or organs. It penalizes interactions that could cause loss of control or damage but allows those that aid movement. This produces trajectories that are kinematically feasible and Jacobians adjusted for contact, which are then used in closed-loop hardware control. Validation on patient-derived anatomical models shows consistent success in reaching targets without risky tip contacts across multiple environments. The approach addresses the reality that contact is often unavoidable yet must be managed carefully for safety and performance.

Core claim

The central claim is that a contact-aware planner evaluating contact quality can generate safe, feasible trajectories and contact-aware Jacobians for continuum robots, enabling reliable navigation and control in constrained anatomical settings with 100% success in hardware trials and low tracking errors.

What carries the argument

The contact quality metric that penalizes hazardous interactions, particularly end-of-continuum-segment contact, integrated into trajectory planning and Jacobian computation for control.

Load-bearing premise

The assumption that the chosen contact quality metric accurately identifies which contacts are hazardous versus benign in real anatomical conditions.

What would settle it

Observing a hardware trial where the robot follows the planned trajectory but still suffers a failure or loss of control due to a contact the metric classified as benign.

Figures

Figures reproduced from arXiv: 2604.15638 by Aedan Mangan, Kehan Long, Ki Myung Brian Lee, Miheer Potdar, Nikolay Atanasov, Tania K. Morimoto.

Figure 1
Figure 1. Figure 1: Overview of the proposed contact-aware planning and control frame [PITH_FULL_IMAGE:figures/full_fig_p001_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: Three joint space values q = [PITH_FULL_IMAGE:figures/full_fig_p002_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: The transformations of the piecewise constant curvature model with [PITH_FULL_IMAGE:figures/full_fig_p004_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: Illustration of the task-space partitions and their relationship to [PITH_FULL_IMAGE:figures/full_fig_p005_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: (a) The Dijkstra planner generates a heuristic field that encodes move [PITH_FULL_IMAGE:figures/full_fig_p007_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: The proposed controller tracks a trajectory of target poses target poses [PITH_FULL_IMAGE:figures/full_fig_p008_6.png] view at source ↗
Figure 7
Figure 7. Figure 7: Continuum robot hardware used to evaluate the contact-aware [PITH_FULL_IMAGE:figures/full_fig_p008_7.png] view at source ↗
Figure 8
Figure 8. Figure 8: Independent of controller choice, a reference trajectory must respect [PITH_FULL_IMAGE:figures/full_fig_p009_8.png] view at source ↗
Figure 9
Figure 9. Figure 9: Planning across three anatomical environments. The algorithm begins with dividing a (real) patient scan into task-space partitions and creating a [PITH_FULL_IMAGE:figures/full_fig_p010_9.png] view at source ↗
Figure 10
Figure 10. Figure 10: Hardware experiments evaluated the proposed contact-aware plan [PITH_FULL_IMAGE:figures/full_fig_p011_10.png] view at source ↗
Figure 12
Figure 12. Figure 12: Successfully navigating type III aortic arch with plans that (a) [PITH_FULL_IMAGE:figures/full_fig_p012_12.png] view at source ↗
Figure 13
Figure 13. Figure 13: Closed-loop feedback was required for successful execution. (a) [PITH_FULL_IMAGE:figures/full_fig_p012_13.png] view at source ↗
read the original abstract

Continuum robots are well suited for navigating confined and fragile environments, such as vascular or endoluminal anatomy, where contact with surrounding structures is often unavoidable. While controlled contact can assist motion, unfavorable contact can degrade controllability, induce kinematic singularities, or introduce safety risks. We present a contact-aware planning approach that evaluates contact quality, penalizing hazardous interactions, while permitting benign contact. The planner produces kinematically feasible trajectories and contact-aware Jacobians which can be used for closed-loop control in hardware experiments. We validate the approach by testing the integrated system (planning, control, and mechanical design) on anatomical models from patient scans. The planner generates effective plans for three common anatomical environments, and, in all hardware trials, the continuum robot was able to reach the target while avoiding dangerous tip contact (100% success). Mean tracking errors were 1.9 +/- 0.5 mm, 1.2 +/- 0.1 mm, and 1.7 +/- 0.2 mm across the three different environments. Ablation studies showed that penalizing end-of-continuum-segment (ECS) contact improved manipulability and prevented hardware failures. Overall, this work enables reliable, contact-aware navigation in highly constrained environments.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 1 minor

Summary. The paper claims to introduce a contact-aware planning method for continuum robots operating in highly constrained environments such as vascular or endoluminal anatomy. The approach evaluates contact quality to penalize hazardous interactions while permitting benign contact, generates kinematically feasible trajectories along with contact-aware Jacobians suitable for closed-loop control, and is validated via hardware experiments on three anatomical models derived from patient scans. Reported results include 100% success in reaching targets without dangerous tip contact across all trials, mean tracking errors of 1.9 ± 0.5 mm, 1.2 ± 0.1 mm, and 1.7 ± 0.2 mm, and ablation studies showing that penalizing end-of-continuum-segment contact improves manipulability and prevents hardware failures.

Significance. If the contact quality metric proves robust, the work could meaningfully improve safety and reliability for continuum robots in medical navigation tasks where contact is unavoidable. The hardware validation with quantitative tracking errors and explicit success rates provides concrete evidence of practical utility, and the production of contact-aware Jacobians for control is a constructive integration of planning and execution.

major comments (2)
  1. [Methods / Planning formulation] The formulation of the contact quality metric and its integration into the planner (including the penalty term and how contact-aware Jacobians are derived) is not presented with sufficient mathematical detail or pseudocode, preventing assessment of whether the metric reliably distinguishes hazardous from benign contact as claimed in the abstract.
  2. [Experiments / Validation] Experiments section: validation is performed exclusively on static/rigid anatomical models from patient scans; no analysis or additional experiments address how the contact quality metric behaves under tissue compliance, viscoelastic deformation, or force distribution changes that could alter kinematic singularities or turn benign contact hazardous in vivo.
minor comments (1)
  1. [Abstract] The abstract states 'the planner produces kinematically feasible trajectories and contact-aware Jacobians' but does not clarify in one sentence how the Jacobians are modified by the contact term.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the positive summary and constructive major comments. We address each point below and will revise the manuscript to improve clarity and transparency.

read point-by-point responses

  1. Referee: [Methods / Planning formulation] The formulation of the contact quality metric and its integration into the planner (including the penalty term and how contact-aware Jacobians are derived) is not presented with sufficient mathematical detail or pseudocode, preventing assessment of whether the metric reliably distinguishes hazardous from benign contact as claimed in the abstract.

    Authors: We agree that the current presentation of the contact quality metric could benefit from greater mathematical detail. The manuscript introduces the metric in Section 3.2 as a function of contact location and direction relative to the continuum segment, with the penalty incorporated into the trajectory optimization objective (Eq. 5) and contact-aware Jacobians derived by masking or reweighting columns corresponding to penalized contacts. However, we acknowledge that explicit equations for the quality function, the precise form of the penalty term, and pseudocode for Jacobian construction are not provided. In the revised version we will add these elements, including the full definition of the contact quality score, the augmented cost function, and an algorithm box showing how the Jacobians are computed from the contact map. This will enable readers to evaluate the distinction between hazardous and benign contact more rigorously. revision: yes

  2. Referee: [Experiments / Validation] Experiments section: validation is performed exclusively on static/rigid anatomical models from patient scans; no analysis or additional experiments address how the contact quality metric behaves under tissue compliance, viscoelastic deformation, or force distribution changes that could alter kinematic singularities or turn benign contact hazardous in vivo.

    Authors: We recognize this as a genuine limitation of the current validation. All hardware trials were conducted on rigid, 3D-printed anatomical models to ensure safety, repeatability, and ethical compliance during initial testing. The contact quality metric is formulated primarily from kinematic and geometric considerations (contact location along the robot and its effect on the Jacobian), which we expect to provide a useful baseline; however, we do not claim invariance under tissue compliance. In the revision we will add an expanded limitations paragraph in the discussion that explicitly addresses potential changes in contact hazard due to viscoelastic deformation and force redistribution, and we will outline concrete directions for future compliant-phantom or in-vivo studies. No new physical experiments will be added in this revision, as they fall outside the present scope and resource constraints. revision: partial

Circularity Check

0 steps flagged

No circularity in derivation or validation chain

full rationale

The paper describes a contact-aware planning formulation that augments standard kinematic planning with a contact quality penalty term, followed by hardware validation on anatomical models and ablation studies. No equations, parameter fits, or uniqueness claims are presented that reduce a reported prediction or result to the input data or to a self-citation by construction. The 100% success rate and tracking errors are empirical outcomes of the integrated system rather than tautological outputs of the planner definition itself. The contact quality metric and Jacobian modifications are introduced as design choices whose grounding is external to the reported experiments.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

Only the abstract is available, so no specific free parameters, axioms, or invented entities can be extracted or verified from the text.

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Reference graph

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