Skip to main content
Log in

Space Deformations, Surface Deformations and the Opportunities In-Between

  • Survey
  • Published:
Journal of Computer Science and Technology Aims and scope Submit manuscript

Abstract

In recent years we have witnessed a large interest in surface deformation techniques. This has been a reaction that can be attributed to the ability to develop techniques which are detail-preserving. Space deformation techniques, on the other hand, received less attention, but nevertheless they have many advantages over surface-based techniques. This paper explores the potential of these two approaches to deformation and discusses the opportunities that the fusion of the two may lead to.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Lipman Y, Sorkine O, Cohen-Or D, Levin D, Rössl C, Seidel H P. Differential coordinates for interactive mesh editing. In Proc. Shape Modeling International, Genova, Italy, June 7–9, 2004, pp.181–190.

  2. Sorkine O, Lipman Y, Cohen-Or D, Alexa M, Rössl C, Seidel H P. Laplacian surface editing. In Proc. the Eurographics/ACM SIGGRAPH Symposium on Geometry Processing, Nice, France, July 8–10, 2004, pp.179–188.

  3. Yu Y, Zhou K, Xu D, Shi X, Bao H, Guo B, Shum H Y. Mesh editing with poisson-based gradient field manipulation. ACM Trans. Graph., 2004, 23(3): 644–651.

    Article  Google Scholar 

  4. Sorkine O. Laplacian mesh processing. Eurographics State-of-the-Art Report, Dublin, Ireland, 2005.

  5. Lipman Y, Sorkine O, Levin D, Cohen-Or D. Linear rotation-invariant coordinates for meshes. In Proc. ACM SIGGRAPH 2005, Los Angeles, California, USA, July 31–August 4, 2005, pp.479–487.

  6. Au O K C, Fu H, Tai C L, Cohen-Or D. Handle-aware isolines for scalable shape editing. ACM Trans. Graph., 2007, 26(3): 83.

    Article  Google Scholar 

  7. Sorkine O, Alexa M. As-rigid-as-possible surface modeling. In Proc. the Fifth Eurographics Symposium on Geometry Processing (SGP’07), Barcelona, Spain, Eurographics Association, Aire-la-Ville, Switzerland, 2007, pp.109–116.

  8. Sumner R W, Schmid J, Pauly M. Embedded deformation for shape manipulation. In Proc. ACM SIGGRAPH 2007, San Diego, USA, August 5–9, 2007, paper No. 80.

  9. Botsch M, Pauly M, Wicke M, Gross M. Adaptive space deformations based on rigid cells. In Proc. Eurographics 2007 (Computer Graphics Forum), 2007.

  10. Xu K, Wang Y, Xiong Y, Cheng Z Q. Interactive shape manipulation based on space deformation with harmonic-guided clustering. In Proc. Computer Animation and Social Agents, Seoul, Korea, 2008.

  11. Floater M S. Mean value coordinates. Computer Aided Geometric Design, 2003, 20(1): 19–27.

    Article  MATH  MathSciNet  Google Scholar 

  12. Ju T, Schaefer S, Warren J. Mean value coordinates for closed triangular meshes. ACM Transactions on Graphics, 2005, 24(3): 561–566.

    Article  Google Scholar 

  13. Joshi P, Meyer M, DeRose T, Green B, Sanocki T. Harmonic coordinates for character articulation. ACM Transactions on Graphics,26(3), In Proc. SIGGRAPH, San Diego, USA, 2007.

  14. Lipman Y, Levin D, Cohen-Or D. Green coordinates. In Proc. ACM SIGGRAPH 2008, Los Angeles, California, USA, August 11–15, 2008, pp.479–487.

  15. Zhou K, Huang J, Snyder J, Liu X, Bao H, Guo B, Shum H Y. Large mesh deformation using the volumetric graph Laplacian. ACM Trans. Graph., 2005, 24(3): 496–503.

    Article  Google Scholar 

  16. Botsch M, Pauly M, Gross M, Kobbelt L. Primo: Coupled prisms for intuitive surface modeling. In Proc. SGP’06, Sardina, Italy, June 16–18, 2006, pp.11–20.

  17. Huang J, Shi X, Liu X, Zhou K, Wei L Y, Teng S H, Bao H, Guo B, Shum H Y. Subspace gradient domain mesh deformation. ACM Trans. Graph., 2006, 25(3): 1126–1134.

    Article  Google Scholar 

  18. Cohen-Or D, Levin D, Solomovici A. Three-dimensional distance field metamorphosis. ACM Trans. Graph., 1998, 17(2): 116–141.

    Article  Google Scholar 

  19. Alexa M, Cohen-Or D, Levin D. As-rigid-as-possible shape interpolation. In Proc. ACM SIGGRAPH 2000, New Orleans, USA, August 12–17, 2000, pp.157–164.

  20. Xu D, Zhang H, Wang Q, Bao H. Poisson shape interpolation. In Proc. the 2005 ACM Symposium on Solid and Physical Modeling (SPM’05), Cambridge, USA, June 13–15, 2005, pp.267–274.

  21. Sedeberg T W, Gao P, Wang G, Mu H. 2-D shape blending: An intrinsic solution to the vertex path problem. In Proc. SIGGRAPH 93, Anaheim, USA, August 1–6, 1993, pp.15–18.

  22. Zayer R, Rössl C, Karni Z, Seidel H P. Harmonic guidance for surface deformation. In Proc. Eurographics, Dublin, Ireland, 2005, Computer Graphics Forum, 2005, 24(3): 601–609.

    Article  Google Scholar 

  23. Lipman Y, Cohen-Or D, Gal R, Levin D. Volume and shape preservation via moving frame manipulation. ACM Transactions on Graphics (TOG), ACM Press, 2007, 26(1), paper No.5.

  24. Sederberg T W, Parry S R. Free-form deformation of solid geometric models. In Proc. SIGGRAPH’86, Dallas, August 18–22, 1986, pp.151–160.

  25. Coquillart Sabine. Extended free-form deformation: A sculpturing tool for 3D geometric modeling. In Proc. SIGGRAPH’90, Dallas, USA, August 6–10, 1990, pp.187–196.

  26. Floater M S, Kos G, Reimers M. Mean value coordinates in 3D. Computer Aided Geometric Design, 2005, 22(7): 623–631.

    Article  MATH  MathSciNet  Google Scholar 

  27. Lipman Y, Kopf J, Cohen-Or D, Levin D. GPU-assisted positive mean value coordinates for mesh deformations. In Proc. SGP’07, Barcelona, Spain, June 4–6, 2007, pp.117–123.

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Daniel Cohen-Or.

Electronic Supplementary Material

Below is the link to the electronic supplementary material.

(PDF 75.7 kb)

Rights and permissions

Reprints and permissions

About this article

Cite this article

Cohen-Or, D. Space Deformations, Surface Deformations and the Opportunities In-Between. J. Comput. Sci. Technol. 24, 2–5 (2009). https://doi.org/10.1007/s11390-009-9200-0

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11390-009-9200-0

Keywords

Navigation