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REVIEW 3 major objections 4 minor 96 references

Mapping and Localization Using LiDAR Fiducial Markers

T0 review · 3 major / 4 minor · reviewed 2026-08-09 · deepseek-v4-flash

Pith's one-line read Thin-sheet LiDAR fiducial markers let unordered, low-overlap point clouds be registered into accurate maps.

desk verdict Solid integration of prior LiDAR-fiducial work with a useful dataset, but the 'any unseen scenario' claim needs scoping: the method depends on co-observed markers forming a connected graph. read the letter →

arxiv 2502.03510 v1 pith:SSZHWCU2 submitted 2025-02-05 cs.CV

classification cs.CV
keywords LiDARfiducialmarkersintensityimagepointcloudregistrationmultiviewlowoverlapscansmappingandlocalizationfactorgraphtrainingdatacollection
verification ladder T0 review T1 audit T2 compute T3 formal

The pith

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

The reading

This dissertation sets out to close the gap between visual fiducial markers, which are common in camera-based systems, and LiDAR fiducial markers, which are not. It claims that thin, letter-sized printed markers detected through LiDAR intensity images can serve as reliable anchors for registering unordered multiview point clouds, even when the scans share almost no geometric features. If the claim holds, tasks such as collecting 3D assets from a few sparse scans, merging large-scale maps with only a few percent overlap, reconstructing degraded scenes, and localizing without GPS become feasible with paper markers and a LiDAR. The central mechanism is a two-level graph that first initializes scan poses from shared marker observations and then jointly optimizes scan poses, marker poses, and marker corners. The strongest stated consequence is that the framework works in unseen scenarios with extremely low overlap, exactly where geometry-based and learning-based registration methods fail.

What carries the argument

The central object is the Intensity Image-based LiDAR Fiducial Marker (IFM) system: letter-sized printed markers carrying ordinary visual fiducial patterns are projected from raw LiDAR intensity into a spherical intensity image, a standard visual-fiducial detector locates the 2D fiducials, and an interpolation scheme converts detected but unscanned feature points into 3D coordinates using the planar-marker assumption. On top of this sit two further mechanisms. An adaptive threshold detector searches the binarization threshold to maximize the number of markers detected as viewpoints change. A two-level graph then carries the registration: the first-level graph is a weighted graph whose nodes are scans and markers and whose edge weights are the point-to-point pose errors $e_{pp}$; Dijkstra's algorithm finds the lowest-error path from the anchor scan to each non-anchor scan to initialize all poses. The second-level graph is a factor graph that formulates the maximum a-posteriori problem, the most probable poses given the measurements, and jointly optimizes scan poses, marker poses, and marker corner positions via Levenberg-Marquardt.

What would settle it

Take two LiDAR scans of the same room with no marker visible in the second scan, or with the second scan seeing only markers absent from the first, and run the full pipeline to register them; the first-level graph will have no path from the anchor scan to that scan, so the claimed registration of any unseen low-overlap input cannot be produced unless the method silently falls back on geometry.

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Extended reading notes

Core claim

The discovery is that LiDAR fiducial markers do not have to be bulky three-dimensional objects. By projecting a LiDAR point cloud onto a spherical intensity image, a standard visual fiducial detector can find the marker corners, and those corners give enough constraints to estimate the sensor pose. The same idea is extended from single scans to 3D maps by analyzing the point cloud jointly from intensity and geometry, using an intermediate plane to remove occlusion and enlarge small distant markers. Multiview registration is then posed as a maximum a-posteriori problem over scan poses, marker poses, and corner positions, solved by a first-level weighted graph that propagates poses along lowest-error paths from an anchor scan and a second-level factor graph that refines all variables globally. In the author's telling, this is why the method registers low-overlap and scene-degraded inputs that defeat feature-based competitors, and why it can serve as an efficient tool for map merging, asset collection, and training-data generation.

Load-bearing premise

The load-bearing premise is that every scan to be registered shares at least one marker with some other scan, so the first-level graph can find a path from the anchor scan to that scan; the dissertation does not test scans that see no markers or only markers invisible to all other scans.

Editorial extensions

If this is right

  • Mapping and localization no longer depend on rich geometric features in the overlap region, so scans whose shared area is mostly planar or textureless can still be aligned.
  • Large-scale 3D maps with only a few percent overlap can be merged using marker detections localized on the maps themselves.
  • A LiDAR-only setup can support offline, structure-from-motion-style processing of unordered scans, enabling 3D asset collection from a handful of sparse viewpoints.
  • Training data for learning-based registration can be collected in unseen indoor and outdoor scenes, and adding that data improves the registration recall of existing methods on standard benchmarks.
  • Because the pipeline registers through markers rather than whole-point-cloud feature analysis, its runtime is orders of magnitude shorter than the compared full-analysis methods.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • The real scaling limit of the approach is marker co-visibility: a scan that sees no shared markers cannot be initialized by the first-level graph, so the practical operating range is bounded by marker density and LiDAR range rather than by scene geometry.
  • The same factor-graph formulation could accept camera-based visual fiducial detections as additional measurements, which would let the system fall back on visual markers in weather or lighting conditions where LiDAR intensity is degraded.
  • A natural testable extension is to replace the adaptive threshold search with a learned detector that predicts marker corners directly from the raw intensity image, which would remove the threshold loop and make the pipeline faster and more continuous.
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Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Referee Report

3 major / 4 minor

Summary. The dissertation develops an intensity-image-based LiDAR fiducial marker (IFM) system, extends marker localization from single scans to 3D maps, and proposes a two-level graph framework for registering unordered low-overlap multiview point clouds using thin-sheet markers. It also introduces the Livox-3DMatch dataset for training learning-based registration methods and reports experiments against MDGD, SGHR, SE3ET, GeoTrans, Teaser++, LOAM variants, KISS-ICP, and SfM-M across indoor/outdoor scenes, sparse-scan reconstruction, degraded scenes, GPS-denied localization, and large-scale map merging. The central claim is that this marker-based framework is robust to any unseen scenarios with extremely low overlap, providing a convenient, efficient, and low-cost mapping/localization tool.

Significance. The integrated system is a useful practical contribution: it transfers the convenience of visual fiducial markers to LiDAR point clouds, provides open-source implementations and datasets, and demonstrates large accuracy and runtime advantages over learning-based registration baselines in scenes instrumented with markers. The SVD-based pose estimation, the factor-graph MAP formulation, and the dataset-augmentation idea are each standard, but their combination is applied to a relevant and previously underexplored problem. The quantitative gains in the reported applications, such as the improvements to SGHR and MDGD from Livox-3DMatch (Table 4.4) and the low map-merging error in Table 4.7, are concrete and useful if the results are reproducible. The main weakness is that the headline robustness claim is broader than the algorithmic conditions and experimental protocol support.

major comments (3)
  1. [Section 4.1 and Section 4.2.3, Eq. (4.3)] The claim that the framework is "robust to any unseen scenarios with extremely low overlap" (Section 4.1, repeated in Section 4.4.3) is not supported by the algorithm as stated. In the first-level graph, a non-anchor scan receives an initial pose only if a path of co-observed markers connects it to the anchor scan; Eq. (4.3) requires a marker observed in both scans, and Dijkstra's algorithm operates over that co-visibility graph. A scan that sees no marker, or only markers not detected in any other scan, remains an isolated node and is never initialized, so the second-level graph cannot register it. None of the ten scenes in Table 4.2 or the applications in Sections 4.4.4-4.4.8 contains a disconnected or marker-free scan. The paper should either add experiments with disconnected marker co-visibility (for example, a scan with no detected markers, or a scan whose markers are observed by no other scan) or explicitly restrict the claim to scenes where the marker co-visibility graph is connected and every scan observes at least one marker.
  2. [Section 4.3 and Section 4.4.5] The Livox-3DMatch dataset is created using poses generated by the proposed marker-based pipeline itself, and no external ground truth (MoCap, RTK, or manually verified CAD alignment) is reported for the aligned 33 scans. The observed improvements to SGHR and MDGD on 3DMatch, ETH, and ScanNet are evidence that the added data are useful for training, but they do not establish the absolute accuracy of the generated poses. Since the dataset is presented as a training resource, the paper should either report a subset of held-out scans with independent pose ground truth or explicitly state that the poses inherit the accuracy of the proposed pipeline and cannot be treated as independently validated ground truth.
  3. [Sections 4.2.1, 3.2.3, and 4.2.4] Several free parameters that affect the reported results are not specified in the manuscript: the search scope S and step size δ in Algorithm 1, the OBB amplification factor t_b and the filtering thresholds in Section 3.2.3, and the noise covariance matrices Σ_k in Eq. (4.6), which are said to be determined by experiments in [39] without reporting the actual values. Without these settings, the quantitative results in Tables 4.2, 4.5, 4.6, and 4.7 cannot be reproduced from the text. Please provide the parameter values, and ideally a sensitivity analysis for the most important ones, or a clear statement that the open-source code contains the exact settings.
minor comments (4)
  1. [Throughout] There are several typographical issues: "T race" in Eq. (2.6) and nearby text should be "Trace"; "Apirltag" in Section 1.2.1 should be "AprilTag"; and "synthesis point cloud" in Section 3.2 should be "synthetic point cloud."
  2. [Section 4.2.1, Algorithm 1] In Algorithm 1, λ* is updated whenever Qtemp,l >= Ql, even if no new marker was appended to Q. This means the returned threshold is the last threshold with at least the current maximum number of detections, not necessarily the threshold at which the final marker set was first detected. Please clarify whether this is intentional and update the pseudocode or explanation.
  3. [Section 4.4.1] The ground-truth poses for the registration-accuracy experiments are obtained by manual alignment in CloudCompare. Given that the reported translation errors are often only a few centimeters, it would be helpful to quantify the precision of the manual ground truth, for example by cross-checking a subset of scenes against MoCap or RTK poses, or by reporting inter-annotator variability.
  4. [Table 3.1] The scene labels in Table 3.1 refer to figure panels ("Fig. 3.1(a)-Traj LO") rather than descriptive scene names. Using explicit scene names would make the table easier to read and compare.

Circularity Check

0 steps flagged · score 0.0 of 10

No significant circularity: the central mapping/localization claims are anchored to external ground truth, independent benchmarks, and code-released prior work.

full rationale

The derivation chain is self-contained in the relevant sense. Marker detection starts from raw LiDAR intensity values and known VFM pattern geometry, and pose estimation is a standard SVD least-squares alignment of detected 3D fiducials to predefined vertices; this is validated against OptiTrack MoCap ground truth (Section 2.5.1) and against LiDARTag on an external rosbag (Table 2.2). The multiview registration pipeline in Chapter 4 obtains initial relative poses from Eq. (4.3), which uses marker-pose measurements rather than any fitted target pose, and the second-level factor graph optimizes those same measurements with covariances taken from the author's previously published, open-source IFM work [39]. That self-citation is not load-bearing circularity because [39] is externally published, code-released, and does not encode the registration results being claimed. The Livox-3DMatch dataset is aligned using the proposed pipeline, but its value is demonstrated by improved benchmark performance of independent learning methods (Table 4.4), while the proposed method's own pose accuracy is separately checked against manually registered CloudCompare ground truth, MoCap, and RTK (Tables 4.2, 4.5, 4.6), so the reported success does not reduce to the method's own outputs. The 'any unseen scenarios' claim in Section 4.1 is broader than the tested regime because the first-level graph requires a path of co-observed markers to the anchor scan (Eq. 4.3), but that is an overgeneralization or scope limitation, not a circular derivation: no equation in the paper defines the claimed robustness in terms of the experimental outcome, and no fitted parameter is renamed as a prediction. I therefore find no step that can be quoted as reducing a claimed result to its own input by construction.

Assumptions & free parameters 4 free parameters · 5 assumptions · 0 invented entities

The central derivation uses standard SVD pose estimation and factor-graph optimization; the main dependencies are empirical marker detectability, marker co-observability, manual ground-truth precision, and a set of hand-chosen filtering parameters.

free parameters (4)
  • Adaptive threshold search parameters S and step size δ = unspecified
    Algorithm 1 in Section 4.2.1 requires S and δ, but the paper gives no values and no sensitivity analysis; the λ* values in Table 4.1 vary from 6 to 28, showing detection depends strongly on these parameters.
  • OBB buffer amplification factor t_b = twice the marker side length
    Section 3.3 says the recommended value is twice the marker side length based on the authors' experiments; no principled derivation or ablation of t_b is provided.
  • OBB filtering thresholds = SOBB in [a^2, 2a^2]; 1/1.5 <= l/w <= 1.5
    Section 3.2.3 uses manually chosen geometric bounds to accept or reject candidate clusters; the 1.5 ratio and diagonal bounds are not derived from a noise model.
  • Noise covariance matrices Σ_k = from experiments in [39]
    Section 4.2.4 states the covariances are determined by quantitative experiments in the author's prior paper [39], but the values and calibration procedure are not reproduced.
assumptions (5)
  • domain assumption Markers are planar thin sheets whose black-and-white patterns produce locally linear intensity gradients in LiDAR intensity images.
    The whole marker detection pipeline in Sections 2.3 and 3.2 assumes intensity contrast and planarity; the paper itself notes failure at 50 m due to sparse and noisy points.
  • domain assumption The spherical projection with Θa and Θi chosen from the LiDAR manual preserves enough pattern structure for VFM decoders after thresholding and blurring.
    Section 2.3.2 establishes image generation but does not prove marker detectability; CCTag required Gaussian blur to work, showing fragility.
  • domain assumption Every non-anchor scan is connected to the anchor scan through a path of co-observed markers in the first-level graph.
    Section 4.2.3 uses Dijkstra on a graph of shared marker observations; scans with no shared-marker path have no initial pose.
  • standard math Standard SVD least-squares pose result uniqueness for coplanar non-collinear points applies and eliminates rotation ambiguity.
    Section 2.4 relies on this lemma from Arun et al. 1987 for closed-form pose and uniqueness.
  • domain assumption Ground truth poses obtained by manual alignment in CloudCompare are accurate enough for the error levels reported.
    Used in Sections 3.5.1 and 4.4; manual annotation has unknown precision and is not independently verified.

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Cite this review

Pith. "Pith review of Mapping and Localization Using LiDAR Fiducial Markers." pith.science (2026). https://pith.science/paper/SSZHWCU2

@misc{pith2026250203510,
  author       = {Pith},
  title        = {Pith review of: Mapping and Localization Using LiDAR Fiducial Markers},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/SSZHWCU2}},
  note         = {Machine review of arXiv:2502.03510}
}
read the original abstract

LiDAR sensors are essential for autonomous systems, yet LiDAR fiducial markers (LFMs) lag behind visual fiducial markers (VFMs) in adoption and utility. Bridging this gap is vital for robotics and computer vision but challenging due to the sparse, unstructured nature of 3D LiDAR data and 2D-focused fiducial marker designs. This dissertation proposes a novel framework for mapping and localization using LFMs is proposed to benefit a variety of real-world applications, including the collection of 3D assets and training data for point cloud registration, 3D map merging, Augmented Reality (AR), and many more. First, an Intensity Image-based LiDAR Fiducial Marker (IFM) system is introduced, using thin, letter-sized markers compatible with VFMs. A detection method locates 3D fiducials from intensity images, enabling LiDAR pose estimation. Second, an enhanced algorithm extends detection to 3D maps, increasing marker range and facilitating tasks like 3D map merging. This method leverages both intensity and geometry, overcoming limitations of geometry-only detection approaches. Third, a new LFM-based mapping and localization method registers unordered, low-overlap point clouds. It employs adaptive threshold detection and a two-level graph framework to solve a maximum a-posteriori (MAP) problem, optimizing point cloud and marker poses. Additionally, the Livox-3DMatch dataset is introduced, improving learning-based multiview point cloud registration methods. Extensive experiments with various LiDAR models in diverse indoor and outdoor scenes demonstrate the effectiveness and superiority of the proposed framework.

Figures

Figures reproduced from arXiv: 2502.03510 by the authors.

Figure 1.1
Figure 1.1. Comparison of (a) a typical calibration board, (b)(c) VFM, (d) LiDARTag, [PITH_FULL_IMAGE:figures/full_fig_p035_1_1.png] view at source ↗
Figure 2.1
Figure 2.1. An illustration of the flexibility and generalizability of the proposed IFM. [PITH_FULL_IMAGE:figures/full_fig_p043_2_1.png] view at source ↗
Figure 2.2
Figure 2.2. Comparison of LiDARTag [9] (top) and the proposed IFM (bottom). 2.2 Preliminaries 2.2.1 Three-dimensional Transformation Suppose that pa = [x, y, z] T is a 3D point expressed in the coordinate system {a}. To express the point in another coordinate system {b} as pb = [x ′ , y′ , z′ ] T , translation and 18 [PITH_FULL_IMAGE:figures/full_fig_p045_2_2.png] view at source ↗
Figures from the paper (42 more)
Figure 2.3
Figure 2.3. Figure 2.3: The schematic diagram of the working principle of LiDAR. [PITH_FULL_IMAGE:figures/full_fig_p048_2_3.png]
Figure 2.4
Figure 2.4. Figure 2.4: An illustration of the coordinate systems and notations. [PITH_FULL_IMAGE:figures/full_fig_p049_2_4.png]
Figure 2.5
Figure 2.5. Figure 2.5: The intensity images generated under different angular resolution settings. [PITH_FULL_IMAGE:figures/full_fig_p052_2_5.png]
Figure 2.6
Figure 2.6. Figure 2.6: Sampling patterns of the mechanical LiDAR and solid-state LiDAR, with [PITH_FULL_IMAGE:figures/full_fig_p053_2_6.png]
Figure 2.7
Figure 2.7. Figure 2.7: An illustration of image preprocessing in the system. [PITH_FULL_IMAGE:figures/full_fig_p054_2_7.png]
Figure 2.8
Figure 2.8. Figure 2.8: An illustration of the algorithm to estimate the 3D coordinates of a detected [PITH_FULL_IMAGE:figures/full_fig_p056_2_8.png]
Figure 2.9
Figure 2.9. Figure 2.9: The side view of α. ϕd, ϕk, and ϕu are the inclinations of pd, pk, and pu, respectively. Undoubtedly, OLpk is the angle bisector of ∠puOLpd owing to ϕd − ϕk = ϕk − ϕu. Hence, in the light of the angle bisector properties, we have pkpd/pupk = OLpd/OLpu. Note that OLpd…
Figure 2.10
Figure 2.10. Figure 2.10: An illustration of the experimental setup. [PITH_FULL_IMAGE:figures/full_fig_p063_2_10.png]
Figure 2.11
Figure 2.11. Figure 2.11: Marker detection results on the preprocessed intensity images. [PITH_FULL_IMAGE:figures/full_fig_p064_2_11.png]
Figure 2.12
Figure 2.12. Figure 2.12: Pose estimation accuracy of the IFM system and the AprilTag 3 system at [PITH_FULL_IMAGE:figures/full_fig_p066_2_12.png]
Figure 2.13
Figure 2.13. Figure 2.13: An illustration of the limitation of spherical projection for 3D maps. This [PITH_FULL_IMAGE:figures/full_fig_p071_2_13.png]
Figure 3.1
Figure 3.1. Figure 3.1: An overview of the improvements to the vanilla IFM. [PITH_FULL_IMAGE:figures/full_fig_p074_3_1.png]
Figure 3.2
Figure 3.2. Figure 3.2: The example used to explain the design purpose and result of each step. [PITH_FULL_IMAGE:figures/full_fig_p076_3_2.png]
Figure 3.3
Figure 3.3. Figure 3.3: The effect of applying downsampling from the intensity perspective. [PITH_FULL_IMAGE:figures/full_fig_p078_3_3.png]
Figure 3.4
Figure 3.4. Figure 3.4: A diagram to illustrate the design of a typical square fiducial marker [ [PITH_FULL_IMAGE:figures/full_fig_p079_3_4.png]
Figure 3.5
Figure 3.5. Figure 3.5: The effect of clustering on the downsampling result. [PITH_FULL_IMAGE:figures/full_fig_p080_3_5.png]
Figure 3.6
Figure 3.6. Figure 3.6: A diagram of the possible OBB size for a given marker. [PITH_FULL_IMAGE:figures/full_fig_p081_3_6.png]
Figure 3.7
Figure 3.7. Figure 3.7: The effect of filtering out the unwanted clusters. [PITH_FULL_IMAGE:figures/full_fig_p083_3_7.png]
Figure 3.8
Figure 3.8. Figure 3.8: The result of extracting points falling into the preserved OBBs from the raw [PITH_FULL_IMAGE:figures/full_fig_p085_3_8.png]
Figure 3.9
Figure 3.9. Figure 3.9: An illustration of how the intermediate plane helps solve the occlusion issue. [PITH_FULL_IMAGE:figures/full_fig_p086_3_9.png]
Figure 3.10
Figure 3.10. Figure 3.10: An illustration of how the intermediate plane helps solve the occlusion [PITH_FULL_IMAGE:figures/full_fig_p086_3_10.png]
Figure 3.11
Figure 3.11. Figure 3.11: The fiducial marker localization result after applying the intermediate plane [PITH_FULL_IMAGE:figures/full_fig_p088_3_11.png]
Figure 3.12
Figure 3.12. Figure 3.12: An illustration of the potential rotational ambiguity issue of [PITH_FULL_IMAGE:figures/full_fig_p089_3_12.png]
Figure 3.13
Figure 3.13. Figure 3.13: The LiDAR scans the indoor parking lot from right to left, moving rapidly [PITH_FULL_IMAGE:figures/full_fig_p093_3_13.png]
Figure 3.14
Figure 3.14. Figure 3.14: Traj LO [10] is utilized to create this 3D map. 67 [PITH_FULL_IMAGE:figures/full_fig_p094_3_14.png]
Figure 3.15
Figure 3.15. Figure 3.15: Comparison of the intensity images generated by the vanilla IFM and the [PITH_FULL_IMAGE:figures/full_fig_p095_3_15.png]
Figure 4.1
Figure 4.1. Figure 4.1: An overview of the proposed framework for mapping and localization using [PITH_FULL_IMAGE:figures/full_fig_p100_4_1.png]
Figure 4.2
Figure 4.2. Figure 4.2: The raw intensity image binarized with different threshold values. [PITH_FULL_IMAGE:figures/full_fig_p101_4_2.png]
Figure 4.3
Figure 4.3. Figure 4.3: An illustration of the first-level graph. After applying the proposed adaptive [PITH_FULL_IMAGE:figures/full_fig_p106_4_3.png]
Figure 4.4
Figure 4.4. Figure 4.4: The procedures for formulating the second-level graph. The variable nodes [PITH_FULL_IMAGE:figures/full_fig_p109_4_4.png]
Figure 4.5
Figure 4.5. Figure 4.5: Comparison of 3DMatch and Livox-3DMatch. (a): A random sample from [PITH_FULL_IMAGE:figures/full_fig_p112_4_5.png]
Figure 4.6
Figure 4.6. Figure 4.6: Setup for testing the adaptive threshold marker detection algorithm: (a) be [PITH_FULL_IMAGE:figures/full_fig_p114_4_6.png]
Figure 4
Figure 4. Figure 4: (b) I Fig. 4.6(c) In a large 0 7 17 0 7 9 0 7 19/20 [PITH_FULL_IMAGE:figures/full_fig_p115_4.png]
Figure 4.7
Figure 4.7. Figure 4.7: A comparison with SOTA methods, including MDGD [ [PITH_FULL_IMAGE:figures/full_fig_p118_4_7.png]
Figure 4.8
Figure 4.8. Figure 4.8: An illustration of the experimental setup and a visual comparison of the [PITH_FULL_IMAGE:figures/full_fig_p123_4_8.png]
Figure 4.9
Figure 4.9. Figure 4.9: Visual comparison of the instance reconstruction. From top to bottom: [PITH_FULL_IMAGE:figures/full_fig_p124_4_9.png]
Figure 4.10
Figure 4.10. Figure 4.10: An illustration of the scenes in Livox-3DMatch. [PITH_FULL_IMAGE:figures/full_fig_p125_4_10.png]
Figure 4.11
Figure 4.11. Figure 4.11: An illustration of the experimental setup and a visual comparison of the [PITH_FULL_IMAGE:figures/full_fig_p128_4_11.png]
Figure 4.12
Figure 4.12. Figure 4.12: A comparison of the sensor trajectories obtained from the proposed method [PITH_FULL_IMAGE:figures/full_fig_p129_4_12.png]
Figure 4.13
Figure 4.13. Figure 4.13: (a): An illustration of the experimental setup. (b): Comparison of the [PITH_FULL_IMAGE:figures/full_fig_p131_4_13.png]
Figure 4.14
Figure 4.14. Figure 4.14: A comparison of the 3D map merging results of MDGD [ [PITH_FULL_IMAGE:figures/full_fig_p133_4_14.png]
Figure 4.15
Figure 4.15. Figure 4.15: A comparison of the point cloud registration results without the first graph, [PITH_FULL_IMAGE:figures/full_fig_p135_4_15.png]

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Pith tools

Reviewed August 9, 2026 · model on record in the stance chip above.