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Beyond the Flat Seafloor: A Closed-Form Two-View Constraint to Aid Sidescan Sonar Reconstruction

Summary

The paper abandons the long-standing flat-seafloor approximation and instead builds on multi-view geometry, formalizing and proving a two-view constraint in which a shared feature is confined to a locus at the intersection of a sphere and a plane. Monte Carlo simulation characterizes how long that ambiguity locus becomes, and the results are translated into survey-planning guidance for surface vessels and underwater vehicles.

SourcearXiv RoboticsAuthor: Kalin Norman, Joshua G. Mangelson
Beyond the Flat Seafloor: A Closed-Form Two-View Constraint to Aid Sidescan Sonar Reconstruction
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[Submitted on 21 Sep 2026]

Title:Beyond the Flat Seafloor: A Closed-Form Two-View Constraint to Aid Sidescan Sonar Reconstruction

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Abstract:Sidescan sonar is a common sensor for both manned and autonomous marine exploration and mapping, yet very few methods build upon or exploit the geometric projection model of the sensor. As sidescan sonar is limited to a 1D range measurement, many approximations are frequently used, including the long-standing assumption of a flat seafloor. Rather than make similar approximations, this paper focuses on a multi-view geometry based approach and formalizes a two-view geometric constraint and proves that a shared feature is constrained to a locus within the intersection of a sphere and a plane. In addition, we characterize what governs the size of the ambiguity locus through Monte Carlo simulation that is grounded in real aperture and mounting geometry for both a surface vessel and an underwater vehicle. We translate additional simulations of relative trajectories for both vehicle platforms into concrete survey-planning guidance. Our results show that locus length is strongly governed by elevation misalignment, and peaks at a moderate oblique crossing angle of approximately 20 degrees, with minimal locus lengths obtained at near parallel and anti-parallel passes.

Comments: Copyright 2026 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media. This work was accepted for publication in the Proceedings of IEEE OCEANS 2026 Monterey

Subjects:

Robotics (cs.RO); Computer Vision and Pattern Recognition (cs.CV)

Cite as: arXiv:2609.25271 [cs.RO]

(or arXiv:2609.25271v1 [cs.RO] for this version)

https://doi.org/10.48550/arXiv.2609.25271

arXiv-issued DOI via DataCite (pending registration)

Submission history

From: Kalin Norman [view email] [v1] Mon, 21 Sep 2026 18:17:30 UTC (290 KB)

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Key points

  • The authors formalize a closed-form two-view geometric constraint showing a shared feature lies on a locus within the intersection of a sphere and a plane.
  • Monte Carlo simulation grounded in real aperture and mounting geometry shows locus length is strongly governed by elevation misalignment.
  • The ambiguity locus peaks at a moderate oblique crossing angle of about 20 degrees and is minimal for near parallel and anti-parallel passes.
  • Results are turned into concrete survey-planning guidance for both a surface vessel and an underwater vehicle; the work was accepted to IEEE OCEANS 2026 Monterey.

Highlights and analysis are generated automatically and may contain errors. Check the original source.