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Transformed polynomials for global registration of point clouds

Published: 28 April 2011 Publication History

Abstract

In this paper, we introduce a novel approach for global registration of partially overlapping point clouds. The approach identifies feature points of matching objects based on surface-approximating polynomials and finds an initial transformation depending on these polynomials. We compute an extended set of rotationally-invariant features for polynomials. In contrast to purely feature-based approaches, we do not only compute transformations based on the invariant properties of polynomials, but actually transform the polynomials into a common coordinate system and compare the transformed coefficients. This results in an improved correspondence analysis of local surfaces. Hence, using transformed polynomials, we gain more discriminating information about different structures. Therefore, the approach can handle partial scans of different objects simultaneously. Each partial scan is assigned to one of the objects and registered accordingly. Moreover, the approach is robust against noise and can process real data.

References

[1]
Aiger, D., Mitra, N. J., and Cohen-Or, D. 2008. 4-points congruent sets for robust pairwise surface registration. In SIGGRAPH '08: ACM SIGGRAPH 2008 papers, ACM, New York, NY, USA, 1--10.
[2]
Alexa, M., Behr, J., Cohen-Or, D., Fleishman, S., Levin, D., and Silva, C. T. 2001. Point set surfaces. In VIS '01: Proceedings of the conference on Visualization '01, IEEE Computer Society, Washington, DC, USA, 21--28.
[3]
Besl, P., and McKay, N. 1992. A method for registration of 3-d shapes. IEEE Trans. PAMI 14, 2, 239--256.
[4]
Bronstein, A. M., Bronstein, M. M., and Kimmel, R. 2009. Topology-invariant similarity of nonrigid shapes. Int. J. Comput. Vision 81, 3, 281--301.
[5]
Brown, B. J., and Rusinkiewicz, S. 2007. Global non-rigid alignment of 3-d scans. In SIGGRAPH '07: ACM SIGGRAPH 2007 papers, ACM, New York, NY, USA, 21.
[6]
Brown, B. J., Toler-Franklin, C., Nehab, D., Burns, M., Dobkin, D., Vlachopoulos, A., Doumas, C., Rusinkiewicz, S., and Weyrich, T. 2008. A system for high-volume acquisition and matching of fresco fragments: reassembling theran wall paintings. In SIGGRAPH '08: ACM SIGGRAPH 2008 papers, ACM, New York, NY, USA, 1--9.
[7]
Cazals, F., and Pouget, M. 2003. Estimating differential quantities using polynomial fitting of osculating jets. In Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing, Eurographics Association, Aire-la-Ville, Switzerland, SGP '03, 177--187.
[8]
Chen, Y., and Medioni, G. 1991. Object modeling by registration of multiple range images. In Proc. of IEEE International Conference on Robotics and Automation, 2724--2729.
[9]
Chen, C.-S., Hung, Y.-P., and Cheng, J.-B. 1998. A fast automatic method for registration of partially-overlapping range images. In Proc. ICCV, 242--248.
[10]
Chen, C.-S., Hung, Y.-P., and Cheng, J.-B. 1999. RANSAC-based DARCES: a new approach to fast automatic registration of partially overlapping range images. IEEE Transactions on Pattern Analysis and Machine Intelligence 21, 11 (November), 1229--1234.
[11]
Fischler, M. A., and Bolles, R. C. 1981. Random sample consensus: a paradigm for model fitting with applications to image analysis and automated cartography. Commun. ACM 24, 6, 381--395.
[12]
Gal, R., and Cohen-Or, D. 2006. Salient geometric features for partial shape matching and similarity. ACM Trans. Graph. 25, 1, 130--150.
[13]
Gal, R., Shamir, A., and Cohen-Or, D. 2007. Pose-oblivious shape signature. IEEE Transactions on Visualization and Computer Graphics 13, 2, 261--271.
[14]
Gelfand, N., Mitra, N. J., Guibas, L. J., and Pottmann, H. 2005. Robust global registration. In Proceedings of the third Eurographics symposium on Geometry processing, Eurographics Association, Aire-la-Ville, Switzerland, 197:1--197:10.
[15]
Horn, B. K. P. 1987. Closed-form solution of absolute orientation using unit quaternions. J. Opt. Soc. Amer. A 4, 4, 629--642.
[16]
Huang, Q.-X., Flöry, S., Gelfand, N., Hofer, M., and Pottmann, H. 2006. Reassembling fractured objects by geometric matching. In SIGGRAPH '06: ACM SIGGRAPH 2006 Papers, ACM, New York, NY, USA, 569--578.
[17]
Huang, Q.-X., Adams, B., Wicke, M., and Guibas, L. J. 2008. Non-rigid registration under isometric deformations. Computer Graphics Forum 27, 5, 1449--1457.
[18]
Jain, V., Zhang, H., and van Kaick, O. 2007. Non-rigid spectral correspondence of triangle meshes. International Journal on Shape Modeling 13, 1, 101--124.
[19]
Johnson, A. 1997. Spin-Images: A Representation for 3-D Surface Matching. PhD thesis, Robotics Institute, Carnegie Mellon University, Pittsburgh, PA.
[20]
Kazhdan, M., Funkhouser, T., and Rusinkiewicz, S. 2004. Symmetry descriptors and 3D shape matching. In Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing, ACM, New York, NY, USA, SGP '04, 115--123.
[21]
Kin-Chung Au, O., Tai, C.-L., Cohen-Or, D., Zheng, Y., and Fu, H. 2010. Electors voting for fast automatic shape correspondence. Computer Graphics Forum 29, 2, 645--654.
[22]
Levin, D. 2004. Mesh-independent surface interpolation. In Geometric Modeling for Scientific Visualization, G. Brunnett, B. Hamann, K. Mueller, and L. Linsen, Eds. Springer-Verlag, 37--50.
[23]
Li, X., and Guskov, I. 2005. Multi-scale features for approximate alignment of point-based surfaces. In Proceedings of the third Eurographics symposium on Geometry processing, Eurographics Association, Aire-la-Ville, Switzerland, 217:1--217:11.
[24]
Lipman, Y., and Funkhouser, T. 2009. Möbius voting for surface correspondence. ACM Trans. Graph. 28, 3, 1--12.
[25]
Liu, R., Zhang, H., Shamir, A., and Cohen-Or, D. 2009. A part-aware surface metric for shape analysis. Computer Graphics Forum (Special Issue of Eurographics 2009) 28, 2, 397--406.
[26]
Mitra, N. J., Gelfand, N., Pottmann, H., and Guibas, L. 2004. Registration of point cloud data from a geometric optimization perspective. In Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing, ACM, New York, NY, USA, SGP '04, 22--31.
[27]
Mitra, N. J., Guibas, L. J., and Pauly, M. 2006. Partial and approximate symmetry detection for 3D geometry. In SIGGRAPH '06: ACM SIGGRAPH 2006 Papers, ACM, New York, NY, USA, 560--568.
[28]
Mitra, N. J., Guibas, L. J., and Pauly, M. 2007. Symmetrization. ACM Trans. Graph. 26, 3 (July), 63:1--63:8.
[29]
Ovsjanikov, M., Sun, J., and Guibas, L. 2008. Global intrinsic symmetries of shapes. In Proceedings of the Symposium on Geometry Processing, Eurographics Association, Aire-la-Ville, Switzerland, SGP '08, 1341--1348.
[30]
Pauly, M., Mitra, N. J., Giesen, J., Gross, M., and Guibas, L. J. 2005. Example-based 3D scan completion. In Proceedings of the third Eurographics symposium on Geometry processing, Eurographics Association, Aire-la-Ville, Switzerland, 23:1--23:10.
[31]
Pauly, M., Mitra, N. J., Wallner, J., Pottmann, H., and Guibas, L. J. 2008. Discovering structural regularity in 3D geometry. In SIGGRAPH '08: ACM SIGGRAPH 2008 papers, ACM, New York, NY, USA, 1--11.
[32]
Podolak, J., Shilane, P., Golovinskiy, A., Rusinkiewicz, S., and Funkhouser, T. 2006. A planar-reflective symmetry transform for 3D shapes. In SIGGRAPH '06: ACM SIGGRAPH 2006 Papers, ACM, New York, NY, USA, 549--559.
[33]
Pottmann, H., Wallner, J., Yang, Y.-L., Lai, Y.-K., and Hu, S.-M. 2007. Principal curvatures from the integral invariant viewpoint. Computer Aided Geometric Design 24, 8-9, 428--442.
[34]
Pulli, K. 1999. Multiview registration for large data sets. In 3-D Digital Imaging and Modeling, 1999. Proceedings. Second International Conference on, 160--168.
[35]
Raviv, D., Bronstein, A. M., Bronstein, M. M., and Kimmel, R. 2010. Full and partial symmetries of non-rigid shapes. Int. J. Comput. Vision 89, 1, 18--39.
[36]
Rusinkiewicz, S., and Levoy, M. 2001. Efficient variants of the ICP algorithm. 3D Digital Imaging and Modeling, International Conference on, 145--152.
[37]
Rusinkiewicz, S., Hall-Holt, O., and Levoy, M. 2002. Real-time 3D model acquisition. ACM Trans. Graph. 21, 3, 438--446.
[38]
Rustamov, R. M. 2008. Augmented planar reflective symmetry transform. Vis. Comput. 24, 6 (May), 423--433.
[39]
Shalon, S., Shapira, L., Shamir, A., and Cohen-Or, D. 2008. Part analogies in sets of objects. In Proc. of Eurographics Symposium on 3D Object Retrieval, 33--40.
[40]
Tevs, A., Bokeloh, M., Wand, M., Schilling, A., and Seidel, H.-P. 2009. Isometric registration of ambiguous and partial data. IEEE Computer Society Conference on Computer Vision and Pattern Recognition, 1185--1192.
[41]
Toler-Franklin, C., Brown, B., Weyrich, T., Funkhouser, T., and Rusinkiewicz, S. 2010. Multi-feature matching of fresco fragments. ACM Trans. Graph. 29, 6 (December), 185:1--185:12.
[42]
van Kaick, O., Zhang, H., Hamarneh, G., and Cohen-Or, D. 2010. A survey on shape correspondence. In Proc. of Eurographics State-of-the-art Report.
[43]
Zheng, Q., Sharf, A., Tagliasacchi, A., Chen, B., Zhang, H., Sheffer, A., and Cohen-Or, D. 2010. Consensus skeleton for non-rigid space-time registration. Computer Graphcis Forum (Special Issue of Eurographics) 29, 2, 635--644.

Cited By

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  • (2014)Global registration of mid-range 3D observations and short range next best views2014 IEEE/RSJ International Conference on Intelligent Robots and Systems10.1109/IROS.2014.6943077(3668-3675)Online publication date: Sep-2014
  • (2012)Vote based correspondence for 3D point-set registrationProceedings of the Eighth Indian Conference on Computer Vision, Graphics and Image Processing10.1145/2425333.2425355(1-8)Online publication date: 16-Dec-2012

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cover image ACM Other conferences
SCCG '11: Proceedings of the 27th Spring Conference on Computer Graphics
April 2011
158 pages
ISBN:9781450319782
DOI:10.1145/2461217
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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  • Comenius University: Comenius University

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Publication History

Published: 28 April 2011

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Author Tags

  1. correspondence
  2. matching
  3. registration
  4. shape analysis

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  • Research-article

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SCCG '11
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  • Comenius University
SCCG '11: Spring Conference on Computer Graphics
April 28 - 30, 2011
Viničné, Slovak Republic

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SCCG '11 Paper Acceptance Rate 20 of 42 submissions, 48%;
Overall Acceptance Rate 67 of 115 submissions, 58%

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View all
  • (2014)Global registration of mid-range 3D observations and short range next best views2014 IEEE/RSJ International Conference on Intelligent Robots and Systems10.1109/IROS.2014.6943077(3668-3675)Online publication date: Sep-2014
  • (2012)Vote based correspondence for 3D point-set registrationProceedings of the Eighth Indian Conference on Computer Vision, Graphics and Image Processing10.1145/2425333.2425355(1-8)Online publication date: 16-Dec-2012

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