Journal of Computer Science and Technology

, Volume 24, Issue 1, pp 2–5 | Cite as

Space Deformations, Surface Deformations and the Opportunities In-Between



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.


space deformation mesh editing digital surfaces 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Supplementary material

11390_2009_9200_MOESM1_ESM.pdf (76 kb)
(PDF 75.7 kb)


  1. [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.Google Scholar
  2. [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.Google Scholar
  3. [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.CrossRefGoogle Scholar
  4. [4]
    Sorkine O. Laplacian mesh processing. Eurographics State-of-the-Art Report, Dublin, Ireland, 2005.Google Scholar
  5. [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.Google Scholar
  6. [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.CrossRefGoogle Scholar
  7. [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.Google Scholar
  8. [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.Google Scholar
  9. [9]
    Botsch M, Pauly M, Wicke M, Gross M. Adaptive space deformations based on rigid cells. In Proc. Eurographics 2007 (Computer Graphics Forum), 2007.Google Scholar
  10. [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.Google Scholar
  11. [11]
    Floater M S. Mean value coordinates. Computer Aided Geometric Design, 2003, 20(1): 19–27.MATHCrossRefMathSciNetGoogle Scholar
  12. [12]
    Ju T, Schaefer S, Warren J. Mean value coordinates for closed triangular meshes. ACM Transactions on Graphics, 2005, 24(3): 561–566.CrossRefGoogle Scholar
  13. [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.Google Scholar
  14. [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.Google Scholar
  15. [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.CrossRefGoogle Scholar
  16. [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.Google Scholar
  17. [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.CrossRefGoogle Scholar
  18. [18]
    Cohen-Or D, Levin D, Solomovici A. Three-dimensional distance field metamorphosis. ACM Trans. Graph., 1998, 17(2): 116–141.CrossRefGoogle Scholar
  19. [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.Google Scholar
  20. [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.Google Scholar
  21. [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.Google Scholar
  22. [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.CrossRefGoogle Scholar
  23. [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.Google Scholar
  24. [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.Google Scholar
  25. [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.Google Scholar
  26. [26]
    Floater M S, Kos G, Reimers M. Mean value coordinates in 3D. Computer Aided Geometric Design, 2005, 22(7): 623–631.MATHCrossRefMathSciNetGoogle Scholar
  27. [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.Google Scholar

Copyright information

© Springer 2009

Authors and Affiliations

  1. 1.School of Computer ScienceTel-Aviv UniversityTel-AvivIsrael

Personalised recommendations