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arxiv: 1907.01169 · v1 · pith:ASUELJGRnew · submitted 2019-07-02 · 💻 cs.SD · cs.RO· eess.AS· eess.SP

Can a Robot Hear the Shape and Dimensions of a Room?

Pith reviewed 2026-05-25 11:04 UTC · model grok-4.3

classification 💻 cs.SD cs.ROeess.ASeess.SP
keywords room geometry estimationacoustic mappingimage source modelpath planningroom impulse responsesmobile robotsound field
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The pith

A robot with a sound source and four microphones can map an unknown room's geometry by following a path that collects first-order image sources from impulse responses.

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

The paper develops a method for acoustic room mapping when the layout is unknown and only sound signals are available. A mobile robot carries its own source and sensors, moving according to a path planning strategy that starts from any random position and guarantees collection of enough first-order image sources to reconstruct the full geometry. This matters because prior methods required sources and microphones to already be placed in feasible spots, which is impossible without knowing the room first. The approach is tested in simulation and targets uses like sound source localization and auralization that depend on accurate room shape.

Core claim

The proposed path planning strategy drives the robot from a random initial location through the room so that the room geometry is guaranteed to be revealed by extracting first image sources from the room impulse responses collected during motion.

What carries the argument

The path planning strategy that systematically collects first-order image sources while the robot moves.

If this is right

  • Room geometry can be estimated without any prior knowledge of feasible placement regions for sources or microphones.
  • The robot is guaranteed to reveal the complete geometry regardless of its random starting location.
  • The method supports downstream acoustic tasks such as sound source localization and sound field reproduction once the geometry is known.
  • Validation in synthetic environments shows the collected image sources suffice for reconstruction.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • If image source extraction remains reliable under real-world noise and reverberation, the approach could support fully autonomous acoustic mapping in dark or visually occluded spaces.
  • The same motion strategy might be combined with other modalities to handle rooms where the simple image source model breaks down.
  • Periodic re-runs of the path could allow the robot to detect and update changes in room geometry over time.

Load-bearing premise

First image sources can be reliably extracted from the room impulse responses collected during motion, and the image source model applies without significant interference from higher-order reflections or noise.

What would settle it

A trial in which the robot follows the planned path but the geometry reconstructed from the extracted image sources fails to match the true room dimensions and shape.

Figures

Figures reproduced from arXiv: 1907.01169 by Jaime Valls Miro, Linh Nguyen, Xiaojun Qiu.

Figure 1
Figure 1. Figure 1: Room Impulse Response (RIRs), where Time of [PITH_FULL_IMAGE:figures/full_fig_p001_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: Principle of image sources. as a mirror image of the real acoustic source across a corresponding wall, as illustrated in [PITH_FULL_IMAGE:figures/full_fig_p002_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: Robot mechanism for collecting sound signals. [PITH_FULL_IMAGE:figures/full_fig_p003_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: Robot arm rotation comparisons: without rotation, [PITH_FULL_IMAGE:figures/full_fig_p004_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: Propagation of sound in room corners. and the biggest group including 31 common ISs (blue stars, approximately located at the point (-4, 0) ), would be the nominated location of the first would-be IS. C. Corner Issues Since the room geometry is unknown, it is likely that a mobile robot may travel through a corner of the room. In this case, when a microphone is located close to the walls a issue appears whe… view at source ↗
Figure 6
Figure 6. Figure 6: Issues around corners: (a) the microphones are far from the source and cannot find common first ISs and (b) the [PITH_FULL_IMAGE:figures/full_fig_p005_6.png] view at source ↗
Figure 7
Figure 7. Figure 7: Some illustrations of the robot movements to collect acoustic signals, successfully estimate the room shape and [PITH_FULL_IMAGE:figures/full_fig_p005_7.png] view at source ↗
Figure 9
Figure 9. Figure 9: Histograms of the robot steps required to construct [PITH_FULL_IMAGE:figures/full_fig_p005_9.png] view at source ↗
Figure 9
Figure 9. Figure 9: Similar to the room dimension estimation errors, the [PITH_FULL_IMAGE:figures/full_fig_p006_9.png] view at source ↗
read the original abstract

Knowing the geometry of a space is desirable for many applications, e.g. sound source localization, sound field reproduction or auralization. In circumstances where only acoustic signals can be obtained, estimating the geometry of a room is a challenging proposition. Existing methods have been proposed to reconstruct a room from the room impulse responses (RIRs). However, the sound source and microphones must be deployed in a feasible region of the room for it to work, which is impractical when the room is unknown. This work propose to employ a robot equipped with a sound source and four acoustic sensors, to follow a proposed path planning strategy to moves around the room to collect first image sources for room geometry estimation. The strategy can effectively drives the robot from a random initial location through the room so that the room geometry is guaranteed to be revealed. Effectiveness of the proposed approach is extensively validated in a synthetic environment, where the results obtained are highly promising.

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 proposes equipping a robot with a sound source and four acoustic sensors to follow a path-planning strategy that collects first-order image sources from room impulse responses (RIRs) while moving through an unknown room; the strategy is claimed to guarantee that the room geometry is revealed, with effectiveness shown via extensive synthetic validation yielding 'highly promising' results.

Significance. If the guarantee holds under the image-source model, the work would enable acoustic-only room mapping without prior knowledge of feasible source/microphone placements, which is relevant for sound source localization and auralization. The synthetic validation is a positive element, but the absence of any quantitative metrics or error analysis limits the ability to assess real-world significance.

major comments (2)
  1. [Abstract] Abstract: the central claim that the path-planning strategy 'guarantees' geometry revelation is load-bearing, yet the manuscript provides no quantitative metrics, error rates, success rates, or validation details to support the 'highly promising' synthetic results; this prevents evaluation of whether first-order image-source extraction succeeds at the required reliability.
  2. [Abstract] Abstract: the guarantee assumes reliable isolation of first-order peaks in RIRs collected during continuous robot motion, but no analysis is given of robustness to higher-order reflections, noise, Doppler shift, or order truncation; if extraction accuracy falls below the threshold for unique geometry recovery, the guarantee does not hold even if the planned path is traversed.
minor comments (1)
  1. [Abstract] Abstract: grammatical issues ('This work propose' should read 'This work proposes'; 'to moves around' should read 'to move around').

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for their constructive comments. We agree that the abstract and manuscript would benefit from additional quantitative metrics and a discussion of robustness assumptions. We will revise accordingly.

read point-by-point responses
  1. Referee: [Abstract] Abstract: the central claim that the path-planning strategy 'guarantees' geometry revelation is load-bearing, yet the manuscript provides no quantitative metrics, error rates, success rates, or validation details to support the 'highly promising' synthetic results; this prevents evaluation of whether first-order image-source extraction succeeds at the required reliability.

    Authors: We agree the abstract lacks specific quantitative support for the 'highly promising' claim. The full manuscript contains simulation results under the image-source model, but these are presented without aggregated error rates or success percentages. In revision we will add explicit metrics (e.g., mean geometry reconstruction error, success rate over random initial poses) to both the abstract and results section. revision: yes

  2. Referee: [Abstract] Abstract: the guarantee assumes reliable isolation of first-order peaks in RIRs collected during continuous robot motion, but no analysis is given of robustness to higher-order reflections, noise, Doppler shift, or order truncation; if extraction accuracy falls below the threshold for unique geometry recovery, the guarantee does not hold even if the planned path is traversed.

    Authors: The theoretical guarantee holds only under the ideal image-source model with perfect first-order peak detection. The synthetic experiments likewise assume noise-free, static conditions. We acknowledge the absence of any robustness analysis for Doppler, noise, or higher-order reflections. The revised manuscript will include a dedicated limitations subsection addressing these assumptions and outlining conditions under which the guarantee may degrade. revision: yes

Circularity Check

0 steps flagged

No circularity; method rests on standard image-source model without self-referential reductions

full rationale

The paper proposes a robot path-planning strategy to collect first-order image sources from RIRs for room geometry estimation and claims the path guarantees revelation of geometry. No equations, derivations, or fitted parameters are shown in the provided text. The approach invokes the established image-source model as an external premise rather than defining any quantity in terms of itself or renaming a fitted result as a prediction. No self-citation chains or uniqueness theorems from the authors are load-bearing. The derivation chain is therefore self-contained against external benchmarks.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The approach depends on the image-source acoustic model and the ability to isolate first-order reflections during motion; no free parameters or new entities are described in the abstract.

axioms (1)
  • domain assumption First image sources extracted from RIRs suffice to reconstruct room geometry
    Invoked implicitly when stating that collection of first image sources enables estimation.

pith-pipeline@v0.9.0 · 5697 in / 990 out tokens · 34324 ms · 2026-05-25T11:04:00.863419+00:00 · methodology

discussion (0)

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Reference graph

Works this paper leans on

16 extracted references · 16 canonical work pages

  1. [1]

    Multilevel B-Splines based learning approach for sound source localization,

    L. Nguyen, J. VallsMiro, and X. Qiu, “Multilevel B-Splines based learning approach for sound source localization,” IEEE Sensors Jour- nal, vol. 19(10), pp. 3871 – 3881, 2019

  2. [2]

    Acoustic sensor networks and mobile robotics for sound source localization,

    L. Nguyen and J. VallsMiro, “Acoustic sensor networks and mobile robotics for sound source localization,” in Proc. IEEE International Conference on Control and Automation , Edinburgh, United Kingdom, July 2019, pp. 1–6, to appear

  3. [3]

    Theory and design of sound field reproduction in reverberant rooms,

    T. Betlehem and T. Abhayapala, “Theory and design of sound field reproduction in reverberant rooms,” The Journal of the Acoustical Society of America , vol. 117, pp. 2100–2111, 2005

  4. [4]

    Robust sound source mapping using three-layered selective audio rays for mobile robots,

    D. Su, K. Nakamura, K. Nakadai, and J. VallsMiro, “Robust sound source mapping using three-layered selective audio rays for mobile robots,” in Proc. IEEE/RSJ International Conferece on Intelligent Robots and Systems , Daejeon, Korea, October 2016, pp. 2771–2777

  5. [5]

    Acoustic echoes reveal room shape,

    I. Dokmani ´c, R. Parhizkar, A. Walther, Y . M. Lu, and M. Vetterli, “Acoustic echoes reveal room shape,” Proceedings of the National Academy of Sciences of the United States of America , vol. 110(30), pp. 12 186–12 191, 2013

  6. [6]

    Room geometry estimation from acoustic echoes using graph-based echo labeling,

    I. Jager, R. Heusdens, and N. D. Gaubitch, “Room geometry estimation from acoustic echoes using graph-based echo labeling,” in Proc. IEEE International Conference on Acoustics, Speech, and Signal Processing, Shanghai, China, March 2016, pp. 1–5

  7. [7]

    Greedy alternative for room geometry estimation from acoustic echoes: A subspace-based method,

    M. Coutino, M. B. Moller, J. K. Nielsen, and R. Heusdens, “Greedy alternative for room geometry estimation from acoustic echoes: A subspace-based method,” in Proc. IEEE International Conference on Acoustics, Speech, and Signal Processing , New Orleans, LA, USA, March 2017, pp. 366–370

  8. [8]

    Uncalibrated 3d room geometry estimation from sound impulse responses,

    M. Crocco, A. Trucco, and A. D. Bue, “Uncalibrated 3d room geometry estimation from sound impulse responses,” Journal of the Franklin Institute, vol. 354, p. 86788709, 2017

  9. [9]

    Room reflectors estimation from sound by greedy iterative approach,

    ——, “Room reflectors estimation from sound by greedy iterative approach,” in Proc. IEEE International Conference on Acoustics, Speech, and Signal Processing, Calgary, Alberta, Canada, April 2018, pp. 6877–6881

  10. [10]

    Image method for efficiently simulating small room acoustics,

    J. Allen and D. Berkley, “Image method for efficiently simulating small room acoustics,” Journal of Acoustical Society of Ameria , vol. 65(4), pp. 943–950, 1979

  11. [11]

    Geometrical room geometry estimation from room impulse responses,

    T. Rajapaksha, X. Qiu, E. Cheng, and I. Burnett, “Geometrical room geometry estimation from room impulse responses,” in Proc. EEE International Conference on Acoustics, Speech, and Signal Processing, Shanghai, China, March 2016, pp. 331–335

  12. [12]

    Room shape reconstruction with a single mobile acoustic sensor,

    F. Peng, T. Wang, and B. Chen, “Room shape reconstruction with a single mobile acoustic sensor,” in Proc. IEEE IEEE Global Conference on Signal and Information Processing , Orlando, FL, USA, December 2015, pp. 1116–1120

  13. [13]

    First order echo based room shape recovery using a single mobile device,

    T. Wang, F. Peng, and B. Chen, “First order echo based room shape recovery using a single mobile device,” in Proc. EEE International Conference on Acoustics, Speech, and Signal Processing , Shanghai, China, March 2016, pp. 21–25

  14. [14]

    Echoslam: Simultaneous localization and mapping with acoustic echoes,

    M. Krekovi ´c, I. Dokmani ´c, and M. Vetterli, “Echoslam: Simultaneous localization and mapping with acoustic echoes,” in Proc. EEE In- ternational Conference on Acoustics, Speech, and Signal Processing , Shanghai, China, March 2016, pp. 11–15

  15. [15]

    Simultaneous measurement of impulse response and distortion with a swept-sine technique,

    A. Farina, “Simultaneous measurement of impulse response and distortion with a swept-sine technique,” in Audio Engineering Society Convention 108 , Februay 2000. [Online]. Available: http: //www.aes.org/e-lib/browse.cfm?elib=10211

  16. [16]

    Room impulse response generator,

    E. A. P. Habets, “Room impulse response generator,” 2010. [Online]. Available: https://www.audiolabs-erlangen.de/fau/professor/ habets/software/rir-generator