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Anisotropic deformation for local shape control

Abstract

We present a novel approach to mesh deformation that enables simple context sensitive manipulation of 3D geometry. The method is based on locally anisotropic transformations and is extended to global control directions. This allows intuitive directional modeling within an easy to implement framework. The proposed method complements current sculpting paradigms by providing further possibilities for intuitive surface-based editing without the need for additional host geometries. We show the anisotropic deformation to be seamlessly transferable to free boundary parameterization methods, which allows us to solve the hard problem of flattening compression garments in the domain of apparel design.

References

  1. Magnenat-Thalmann, N.; Laperrière, R.; Thalmann, D. Joint-dependent local deformations for hand animation and object grasping. In: Proceedings on Graphics Interface, 26–33, 1988.

    Google Scholar 

  2. Baran, I.; Popović, J. Automatic rigging and animation of 3D characters. ACM Transactions on Graphics Vol. 26, No. 3, Article No. 72, 2007.

    Google Scholar 

  3. Jacobson, A.; Sorkine, O. Stretchable and twistable bones for skeletal shape deformation. ACM Transactions on Graphics Vol. 30, No. 6, Article No. 165, 2011.

    Google Scholar 

  4. Nieto, J. R.; Susín, A. Cage based deformations: A survey. In: Deformation Models. Hidalgo, M.; Torres, A. M.; Gómez, J. V. Eds. Springer Netherlands, 75–99, 2013.

    Chapter  Google Scholar 

  5. Jacobson, A.; Baran, I.; Popović, J.; Sorkine-Hornung, O. Bounded biharmonic weights for realtime deformation. Communications of the ACM Vol. 57, No. 4, 99–106, 2014.

    Article  Google Scholar 

  6. Igarashi, T.; Moscovich, T.; Hughes, J. F. As-rigidas-possible shape manipulation. ACM Transactions on Graphics Vol. 24, No. 3, 1134–1141, 2005.

    Article  Google Scholar 

  7. Sorkine, O.; Alexa, M. As-rigid-as-possible surface modeling. In: Proceedings of the 5th Eurographics Symposium on Geometry Processing, 109–116, 2007.

    Google Scholar 

  8. Wang, Y.; Jacobson, A.; Barbič, J.; Kavan, L. Linear subspace design for real-time shape deformation. ACM Transactions on Graphics Vol. 34, No. 4, Article No. 57, 2015.

    Google Scholar 

  9. Sumner, R. W.; Popović, J. Deformation transfer for triangle meshes. ACM Transactions on Graphics Vol. 23, No. 3, 399–405, 2004.

    Article  Google Scholar 

  10. Sumner, R. W.; Schmid, J.; Pauly, M. Embedded deformation for shape manipulation. ACM Transactions on Graphics Vol. 26, No. 3, Article No. 80, 2007.

    Google Scholar 

  11. Bærentzen, J. A.; Abdrashitov, R.; Singh, K. Interactive shape modeling using a skeleton-mesh corepresentation. ACM Transactions on Graphics Vol. 33, No. 4, Article No. 132, 2014.

    Google Scholar 

  12. Usai, F.; Livesu, M.; Puppo, E.; Tarini, M.; Scateni, R. Extraction of the quad layout of a triangle mesh guided by its curve skeleton. ACM Transactions on Graphics Vol. 35, No. 1, Article No. 6, 2015.

    Google Scholar 

  13. Liu, L.; Zhang, L.; Xu, Y.; Gotsman, C.; Gortler, S. J. A local/global approach to mesh parameterization. Computer Graphics Forum Vol. 27, No. 5, 1495–1504, 2008.

    Article  Google Scholar 

  14. Zhang, Y.; Wang, C. C. L. WireWarping++: Robust and flexible surface flattening with length control. IEEE Transactions on Automation Science and Engineering Vol. 8, No. 1, 205–215, 2011.

    MathSciNet  Article  Google Scholar 

  15. Smith, J.; Schaefer, S. Bijective parameterization with free boundaries. ACM Transactions on Graphics Vol. 34, No. 4, Article No. 70, 2015.

    Google Scholar 

  16. Krzywinski, S. Verbindung von Design und Konstruktion in der textilen Konfektion unter Anwendung von CAE. TUDpress, 2005.

    Google Scholar 

  17. Crane, K.; Desbrun, M.; Schröder, P. Trivial connections on discrete surfaces. Computer Graphics Forum Vol. 29, No. 5, 1525–1533, 2010.

    Article  Google Scholar 

  18. Colaianni, M.; Siegl, C.; Süßmuth, J.; Rott, F.; Greiner, G. Shape adaptive cut lines. In: Proceedings of the Eurographics Workshop on Graphics for Digital Fabrication, 49–55, 2016.

    Google Scholar 

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Acknowledgements

We want to thank Blendswap artists Calore for the cobra, Metalix for the dog, and Nerotbf for the Roman bust.

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Correspondence to Matteo Colaianni.

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This article is published with open access at Springerlink.com

Matteo Colaianni is a Ph.D. candidate in the Computer Graphics Group of the University of Erlangen- Nuremberg. His research focus is geometry processing in the field of apparel design and statistical shape analysis.

Christian Siegl is a Ph.D. candidate in the Computer Graphics Group of the University of Erlangen-Nuremberg. His research focuses on mixed-reality using projection mapping, medical image processing, and the virtual creation of apparel.

Jochen Süßmuth completed his Ph.D. degree on geometry processing in Erlangen University in 2011. After that, he joined the Adidas group where he is currently working as a researcher in the field of computer graphics.

Frank Bauer is a research fellow in the Computer Graphics Group of the University of Erlangen-Nuremberg. His research focuses on 3D scene reconstruction, augmented, mixed and virtual-reality applications, and accessible human–machine interactions.

Günther Greiner is the head of the Computer Graphics Group of the University of Erlangen-Nuremberg. His research focuses on geometry processing and geometric modelling.

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Colaianni, M., Siegl, C., Süßmuth, J. et al. Anisotropic deformation for local shape control. Comp. Visual Media 3, 305–313 (2017). https://doi.org/10.1007/s41095-017-0092-6

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  • DOI: https://doi.org/10.1007/s41095-017-0092-6

Keywords

  • anisotropy
  • modeling
  • as-rigid-aspossible (ARAP)
  • deformation
  • parameterization