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Gmd: Gaussian mixture descriptor for pair matching of 3D fragments

Published: 28 October 2024 Publication History

Abstract

In the automatic reassembly of fragments acquired using laser scanners to reconstruct objects, a crucial step is the matching of fractured surfaces. In this paper, we propose a novel local descriptor that uses the Gaussian Mixture Model (GMM) to fit the distribution of points, allowing for the description and matching of fractured surfaces of fragments. Our method involves dividing a local surface patch into concave and convex regions for estimating the k value of GMM. Then the final Gaussian Mixture Descriptor (GMD) of the fractured surface is formed by merging the regional GMDs. To measure the similarities between GMDs for determining adjacent fragments, we employ the L2 distance and align the fragments using Random Sample Consensus (RANSAC) and Iterative Closest Point (ICP). The extensive experiments on real-scanned public datasets and Terracotta datasets demonstrate the effectiveness of our approach; furthermore, the comparisons with several existing methods also validate the advantage of the proposed method.

References

[1]
Di Angelo L, Di Stefano P, and Guardiani E A review of computer-based methods for classification and reconstruction of 3d high-density scanned archaeological pottery J. Cult. Herit. 2022 56 10-24
[2]
Li Q, Geng G, and Zhou M Pairwise matching for 3d fragment reassembly based on boundary curves and concave-convex patches IEEE Access 2020 8 6153-6161
[3]
Son T-G, Lee J, Lim J, and Lee K Reassembly of fractured objects using surface signature Vis. Comput. 2017 34 1371-1381
[4]
Wang H, Zang Y, Liang F, Dong Z, Fan H, and Yang B A probabilistic method for fractured cultural relics automatic reassembly J. Comput. Cult. Herit. 2021
[5]
Rusu, R.B., Blodow, N., Beetz, M.: Fast point feature histograms (fpfh) for 3d registration. In: 2009 IEEE International Conference on Robotics and Automation, pp. 3212–3217 (2009). IEEE
[6]
Salti S, Tombari F, and Stefano LD Shot: unique signatures of histograms for surface and texture description Comput. Vis. Image Underst, 2014 125 AUG. 251-264
[7]
Assfalg J, Bertini M, Del Bimbo A, and Pala P Content-based retrieval of 3-d objects using spin image signatures IEEE Trans. Multimed. 2007 9 3 589-599
[8]
Dempster AP, Laird NM, and Rubin DB Maximum likelihood from incomplete data via the em algorithm J. R. Stat. Soc. Ser. B (Methodol.) 1977 39 1 1-22
[9]
Fan J, Yang J, Ai D, Xia L, Zhao Y, Gao X, and Wang Y Convex hull indexed gaussian mixture model (ch-gmm) for 3d point set registration Pattern Recogn. 2016 59 126-141 Compositional Models and Structured Learning for Visual Recognition
[10]
Jian B and Vemuri BC Robust point set registration using gaussian mixture models IEEE Trans. Pattern Anal. Mach. Intell. 2011 33 8 1633-1645
[11]
Liu, W., Wu, H., Chirikjian, G.S.: Lsg-cpd: Coherent point drift with local surface geometry for point cloud registration. In: Proceedings of the IEEE/CVF International Conference on Computer Vision, pp. 15293–15302 (2021)
[12]
Qu G and Lee WH Point set registration based on improved KL divergence Sci. Program. 2021 2021
[13]
Yang G, Li R, Liu Y, and Wang J A robust nonrigid point set registration framework based on global and intrinsic topological constraints Vis. Comput. 2022 38 2 603-623
[14]
Lowe D Distinctive image features from scale-invariant keypoints Int. J. Comput. Vis. 2004 60 91
[15]
Embretson, S.E., Reise, S.P.: Item response theory for psychologists (2000).
[16]
Yang H, Shi J, and Carlone L TEASER: fast and certifiable point cloud registration IEEE Trans. Robot. 2020 37 2 314-333
[17]
Yan, L., Wei, P., Xie, H., Dai, J., Wu, H., Huang, M.: A new outlier removal strategy based on reliability of correspondence graph for fast point cloud registration (2022). http://arxiv.org/abs/2205.07404
[18]
Pan X, Zheng Y, and Jeon B Robust segmentation based on salient region detection coupled gaussian mixture model Information 2022
[19]
Mahajan R and Padha D Detection of change in body motion with background construction and silhouette orientation: Background subtraction with gmm Int. J. Inform. Retrieval Res. (IJIRR) 2022 12 2 1-19
[20]
Avila AR, O’Shaughnessy D, and Falk TH Automatic speaker verification from affective speech using gaussian mixture model based estimation of neutral speech characteristics Speech Commun. 2021 132 21-31
[21]
Zhang, K., Yu, W., Manhein, M., Waggenspack, W.N., Li, X.: 3d fragment reassembly using integrated template guidance and fracture-region matching. 2015 IEEE International Conference on Computer Vision (ICCV), 2138–2146 (2015)
[22]
Hong, J.H., Kim, Y.M., Wi, K.-C., Kim, J.: Potsac: A robust axis estimator for axially symmetric pot fragments. In: 2019 IEEE/CVF International Conference on Computer Vision Workshop (ICCVW), pp. 1421–1428 (2019).
[23]
Son, K., Almeida, E.B., Cooper, D.B.: Axially symmetric 3d pots configuration system using axis of symmetry and break curve. In: Proceedings of the 2013 IEEE Conference on Computer Vision and Pattern Recognition. CVPR ’13, pp. 257–264. IEEE Computer Society, USA (2013).
[24]
Wang, W., Di, H., Song, L.: Reconstructing 3d contour models of general scenes from rgb-d sequences. In: International Conference on Multimedia Modeling, pp. 158–170 (2022). Springer
[25]
Tian Y, Gao W, Liu X, Chen S, and Mo B The research on rejoining of the oracle bone rubbings based on curve matching ACM Trans. Asian Low-Resour. Lang. Inf. Process. 2021
[26]
Zhang Y, Li K, Chen X, Zhang S, and Geng G A multi feature fusion method for reassembly of 3d cultural heritage artifacts J. Cult. Herit. 2018 33 191-200
[27]
Tsiafaki D, Koutsoudis A, Arnaoutoglou F, and Michailidou N Virtual reassembly and completion of a fragmentary drinking vessel Virt. Archaeol. Rev. 2016 7 67-76
[28]
Sizikova E and Funkhouser T Wall painting reconstruction using a genetic algorithm J. Comput. Cult. Herit. 2017 11 1-17
[29]
Savelonas, M.A., Andreadis, A., Papaioannou, G., Mavridis, P.: Exploiting unbroken surface congruity for the acceleration of fragment reassembly. In: Eurographics Workshop on Graphics and Cultural Heritage (2017)
[30]
Wu M and Wang J Reassembling fractured sand particles using fracture-region matching algorithm Powder Technol. 2018 338 55-66
[31]
Cakir, O., Nabivev, V.: A region alignment and matching method for fractured object reassembly. In: 2021 6th International Conference on Computer Science and Engineering (UBMK), pp. 528–532 (2021).
[32]
Paulano-Godino F and Jiménez-Delgado JJ Identification of fracture zones and its application in automatic bone fracture reduction Comput. Methods Programs Biomed. 2017 141 93-104
[33]
Villegas-Suarez, A.M., Lopez, C., Sipiran, I.: Matchmakernet: Enabling fragment matching for cultural heritage analysis. In: 2023 IEEE/CVF International Conference on Computer Vision Workshops (ICCVW), pp. 1624–1633 (2023).
[34]
Chen, Y.-C., Li, H., Turpin, D., Jacobson, A., Garg, A.: Neural shape mating: self-supervised object assembly with adversarial shape priors. In: Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR), pp. 12714–12723 (2022).
[35]
Sellán, S., Chen, Y.-C., Wu, Z., Garg, A., Jacobson, A.: Breaking bad: a dataset for geometric fracture and reassembly. (2022).
[36]
Rasmussen, C.: The infinite gaussian mixture model. In: Solla, S., Leen, T., Müller, K. (eds.) Advances in Neural Information Processing Systems, vol. 12. MIT Press, (1999). https://proceedings.neurips.cc/paper/1999/file/97d98119037c5b8a9663cb21fb8ebf47-Paper.pdf. Accessed Mar 2022
[37]
Huang Q-X, Flöry S, Gelfand N, Hofer M, and Pottmann H Reassembling fractured objects by geometric matching ACM Trans. Graph. 2006 25 3 569-578
[38]
Tombari F, Salti S, and Stefano LD Unique Signatures of Histograms for Local Surface Description 2010 Springer-Verlag
[39]
Pelleg, D., Moore, A.: X-means: extending k-means with efficient estimation of the number of clusters. In: Proceedings of the ICML, pp. 727–734 (2000)
[40]
Fischler MA and Bolles RC Random sample consensus: a paradigm for model fitting with applications to image analysis and automated cartography Commun. ACM 1987
[41]
Besl PJ and McKay ND A method for registration of 3-d shapes IEEE Trans. Pattern Anal. Mach. Intell. 1992 14 239-256
[42]
Huang Q-X, Flöry S, Gelfand N, Hofer M, and Pottmann H Reassembling fractured objects by geometric matching ACM Trans. Graph. 2006 25 3 569-578
[43]
ElNaghy H and Dorst L Pairwise alignment of archaeological fragments through morphological characterization of fracture surfaces Int. J. Comput. Vis. 2022 130 9 2184-2204

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  1. Gmd: Gaussian mixture descriptor for pair matching of 3D fragments
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    Published In

    cover image Multimedia Systems
    Multimedia Systems  Volume 30, Issue 6
    Dec 2024
    413 pages

    Publisher

    Springer-Verlag

    Berlin, Heidelberg

    Publication History

    Published: 28 October 2024
    Accepted: 26 September 2024
    Received: 13 June 2024

    Author Tags

    1. Automatic reassembly
    2. Reconstruction
    3. GMM
    4. Point cloud

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