Hierarchical Multiview Rigid Registration
Registration is a key step in the 3D reconstruction of real‐world objects. In this paper, we propose a hierarchical method for the rigid registration of multiple views. The multiview registration problem is solved via hierarchical optimization defined on an undirected graph. Each node or edge in thi...
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| Vydané v: | Computer graphics forum Ročník 34; číslo 5; s. 77 - 87 |
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| Hlavní autori: | , |
| Médium: | Journal Article |
| Jazyk: | English |
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Oxford
Blackwell Publishing Ltd
01.08.2015
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| ISSN: | 0167-7055, 1467-8659 |
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| Abstract | Registration is a key step in the 3D reconstruction of real‐world objects. In this paper, we propose a hierarchical method for the rigid registration of multiple views. The multiview registration problem is solved via hierarchical optimization defined on an undirected graph. Each node or edge in this graph represents a single view or a connection between two overlapped views, respectively. The optimizations are performed hierarchically on the edges, the loops, and the entire graph. First, each overlapped pair of views is locally aligned. Then, a loop‐based incremental registration algorithm is introduced to refine the initial pairwise alignments. After a loop is registered, the views in the loop are merged into a metaview in the graph. Finally, global error diffusion is applied to the entire graph to evenly distribute the accumulated errors to all views. In addition, a new objective function is defined to describe the loop closure problem; it improves the accuracy and robustness of registration by simultaneously considering transformation and registration errors. The experimental results show that the proposed hierarchical approach is accurate, efficient and robust for initial view states that are not well posed. |
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| AbstractList | Registration is a key step in the 3D reconstruction of real‐world objects. In this paper, we propose a hierarchical method for the rigid registration of multiple views. The multiview registration problem is solved via hierarchical optimization defined on an undirected graph. Each node or edge in this graph represents a single view or a connection between two overlapped views, respectively. The optimizations are performed hierarchically on the edges, the loops, and the entire graph. First, each overlapped pair of views is locally aligned. Then, a loop‐based incremental registration algorithm is introduced to refine the initial pairwise alignments. After a loop is registered, the views in the loop are merged into a metaview in the graph. Finally, global error diffusion is applied to the entire graph to evenly distribute the accumulated errors to all views. In addition, a new objective function is defined to describe the loop closure problem; it improves the accuracy and robustness of registration by simultaneously considering transformation and registration errors. The experimental results show that the proposed hierarchical approach is accurate, efficient and robust for initial view states that are not well posed. |
| Author | Tang, Yizhi Feng, Jieqing |
| Author_xml | – sequence: 1 givenname: Yizhi surname: Tang fullname: Tang, Yizhi organization: State Key Laboratory of CAD&CG, Zhejiang University, 310058, Hangzhou, P.R. China – sequence: 2 givenname: Jieqing surname: Feng fullname: Feng, Jieqing email: jqfeng@cad.zju.edu.cn organization: State Key Laboratory of CAD&CG, Zhejiang University, 310058, Hangzhou, P.R. China |
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| Cites_doi | 10.1109/34.494643 10.1007/BF01427149 10.1111/cgf.12178 10.1007/978-1-4471-4063-4_6 10.1145/2692160 10.1109/34.121791 10.1109/TPAMI.1987.4767965 10.1016/0262-8856(92)90066-C 10.1145/2366145.2366186 10.1006/cviu.2000.0884 10.1109/TIP.2013.2246517 10.1109/IM.2001.924423 10.1016/j.gmod.2014.04.003 10.1109/IM.1999.805346 10.1109/TPAMI.2004.49 10.1145/192161.192241 10.1145/1360612.1360684 10.1109/TVCG.2012.310 10.1109/CVPR.2011.5995565 10.1111/cgf.12184 10.1109/ICPR.1996.546720 |
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| References_xml | – reference: Arun K.S., Huang T.S., Blostein S.D.: Least-squares fitting of two 3-d point sets. IEEE Transactions on Pattern Analysis and Machine Intelligence 9, 5 (Sept. 1987), 698-700. 2 – reference: Bouaziz S., Tagliasacchi A., Pauly M.: Dynamic 2d/3d registration. In Eurographics 2014 - Tutorials, Strasbourg, France, 2014 (Aug. 2014), p. 7. 3 – reference: Zhang Z.: Iterative point matching for registration of free-form curves and surfaces. International Journal of Computer Vision 13, 2 (oct 1994), 119-152. 2 – reference: Sharp G.C., Lee S.W., Wehe D.K.: Multiview registration of 3d scenes by minimizing error between coordinate frames. IEEE Transactions on Pattern Analysis and Machine Intelligence 26, 8 (Aug. 2004), 1037-1050. 1, 2, 4 – reference: Bouaziz S., Tagliasacchi A., Pauly M.: Sparse iterative closest point. Computer Graphics Forum 32, 5 (Aug. 2013), 113-123. 2, 9 – reference: Liu Y., Zhou W., Yang Z., Deng J., Liu L.: Globally consistent rigid registration. Graphical Models 76, 5 (Sept. 2014), 542-553. 1, 3, 4, 6, 10 – reference: Williams J.A., Bennamoun M.: Simultaneous registration of multiple corresponding point sets. Computer Vision and Image Understanding 81, 1 (Jan. 2001), 117-142. 1, 3, 6 – reference: Besl P.J., McKay N.D.: A method for registration of 3-d shapes. IEEE Transactions on Pattern Analysis and Machine Intelligence 14, 2 (Feb. 1992), 239-256. 2 – reference: Díez Y., Roure F., Lladó X., Salvi J.: A qualitative review on 3d coarse registration methods. ACM Comput. Surv. 47, 3 (Feb. 2015), 45:1-45:36. 2 – reference: Chen Y., Medioni G.G.: Object modelling by registration of multiple range images. Image and Vision Computing 10, 3 (Apr. 1992), 145-155. 2, 3 – reference: Huang Q., Guibas L.J.: Consistent shape maps via semidefinite programming. Computer Graphics Forum 32, 5 (2013), 177-186. 3 – reference: Tam G., Cheng Z.-Q., Lai Y.-K., Langbein F., Liu Y., Marshall D., Martin R., Sun X.-F., Rosin P.: Registration of 3d point clouds and meshes: A survey from rigid to nonrigid. IEEE Transactions on Visualization and Computer Graphics 19, 7 (July 2013), 1199-1217. 2 – reference: Bergevin R., Soucy M., Gagnon H., Laurendeau D.: Towards a general multi-view registration technique. IEEE Transactions on Pattern Analysis and Machine Intelligence 18, 5 (May 1996), 540-547. 3, 6 – reference: Aiger D., Mitra N.J., Cohen-Or D.: 4-points congruent sets for robust pairwise surface registration. ACM TOG 27, 3 (Aug. 2008). 2, 3, 8 – reference: Castellani U., Bartoli A.: 3D Shape Registration. Springer, 2012. 1 – reference: Huang Q., Zhang G., Gao L., Hu S., Butscher A., Guibas L.J.: An optimization approach for extracting and encoding consistent maps in a shape collection. ACM TOG 31, 6 (2012), 167. 3 – reference: Govindu V.M., Pooja A.: On averaging multiview relations for 3d scan registration. 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| Title | Hierarchical Multiview Rigid Registration |
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