Abstract
Free-form deformations are widely used to model 3D objects. In these methods “free-form” designates: “whatever the object is, whatever its description and topology, we are able to deform it”. They limit the user interaction to pull some points of an embedding rough mesh. From the user point-of-view, it does not matter if the object manipulated is 3-dimensional, of 0-genus or a parametric surface, he or she always uses the same process to model a complex object: load an initial object from a library and deform it via Ffd methods to follow his (her) needs. A large number of deformation methods have been published, allowing new deformations, new kinds of controls or enhancing the description of resulting objects. In fact advantage of deformation non-constrained by geometries is also a drawback: as it only manipulates points it could only result in points, so its necessary to use and maintain the neighborhood (the topology) or the surface expression on a second hand, as these methods do not care of object description.
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References
Aubert F, Bechmann D (1997) Volume-preserving space deformation. Comput Graph 21(5):625–639 ISSN 0097–8493
Barr A (1984) Global and local deformations of solid primitives. Comput Graph 18(3):21–30
Borrel P, Bechmann D (1991) Deformation of n-dimensional objects. Int J Comput Geom Appl 1(4):427–453
Borrel P, Rappoport A (1994) Simple constrained deformations for geometric modeling and interactive design. ACM Trans Graph 13(2):137–155
Boullion T, Odell P (1971) Generalized inverse matrices. Wiley, New York
Coquillart S (1987) Computing offsets of B-spline curves. Comput Aided Des 19(6):305–309
Coquillart S (1987) A control-point-based sweeping technique. IEEE Comput Graph Appl 7(11):36–45
Coquillart S (1990) Extended free-form deformation: a sculpturing tool for 3D geometric modeling. Comput Graph 24(4):187–196
Coquillart S, Jancène P (1991) Animated free-form deformation: an interactive animation technique. Comput Graph 25(4):23–26
Crespin B (1999) Implicit free-form deformations. In: Proceedings of implicit surfaces, pp 17–23
Crespin B, Blanc C, Schlick C (1996) Implicit sweep objects. Comput Graph Forum 15(3):165–174
Faloutsos P, van de Panne M, Terzopoulos D (1997) Dynamic free-form deformations for animation synthesis. IEEE Trans Visual Comput Graph 3(3):201–214
Farin G (1990) Surface over dirichlet tessellations. Comput Aided Des 7:281–292
Feng J, Ma L, Peng Q (1996) A new free-form deformation through the control of parametric surfaces. Comput Graph 20(4):531–539
Gain J, Bechmann D (2008) A survey of spatial deformation from a user-centered perspective. ACM Trans Graph 27(107):1–21
Griessmair J, Purgathofer W (1989) Deformation of solids with trivariate B-splines. In: Hansmann W, Hopgood FRA, Strasser W (eds) Eurographics ’89, pp 137–148
Hirota G, Maheshwari R, Lin MC (1999) Fast volume preserving free form deformation using multi-level optimization. In: Proceedings of the 5th ACM symposium on solid modeling and applications (SMA99), pp 234–245, ACM Press
Hsu W, Hughes J, Kaufman H (1992) Direct manipulation of free-form deformations. Comput Graph 26(2):177–184
Hua J, Qin H (2003) Free-form deformations via sketching and manipulating scalar fields. In: Proceedings of the eighth ACM symposium on solid modeling and applications (SPM), pp 328–333
Kalra P, Mangili A, Thalmann NM, Thalmann D (1992) Simulation of facial muscle actions based on rational free form deformations. Comput Graph Forum 11(3):C59–C69, C466
Klok F (1986) Two moving coordinate frames from sweeping along a 3D trajectory. Comput Aided Geom Des 3:217–229
Kobayashi K, Ootusubo K (2003) t-FFD: free form deformation by using triangular mesh. In: Proceedings of the ACM symposium on solid modeling and application, pp 226–234
Lamousin H, Waggenspack W (1994) Nurbs-based free-form deformations. IEEE Comput Graphics Appl 14(6):59–65
Lanquetin S, Raffin R, Neveu M (2006) Generalized scodef deformations on subdivision surfaces. In: Proceedings of 4th international conference articulated motion and deformable objects AMDO, LNCS 4069, pp 132–142
Lanquetin S, Raffin R, Neveu M (2010) Curvilinear constraints for free form deformations on subdivision surfaces. Math Comput Model 51(3–4):189–199
Lazarus F, Coquillart S, Jancène P (1994) Interactive axial deformations: an intuitive deformation technique. Comput Aided Des 26(8):607–613
MacCraken R, Joy K (1996) Free-form deformations with lattices of arbitrary topology. In: Proceedings of Siggraph'96 conference, Comput Graph, pp 181–188
Mäntylä M (1988) An introduction to solid modeling. Principles of computer science series. Computer Science Press, Rockville
McDonnell KT, Qin H (2007) PB-FFD: a point-based technique for free-form deformation. J Graph Tools 12(3):25–41
Moccozet L, Magnenat-Thalmann N (1997) Dirichlet free-form deformations and their application to hand simulation. In: Proceedings computer animation 97, IEEE Computer Society, pp 93–102
Parent R (1977) A system for sculpting 3D data. Comput Graph 11(2):138–147
Raffin R, Neveu M, Derdouri B (1998) Constrained deformation for geometric modeling and object reconstruction. In: 6th international conference in central europe on computer graphics and visualization (WSCG), vol 2, pp 299–306
Raffin R, Neveu M, Jaar F (1999) Curvilinear displacement of free-from based deformation. The Visual Computer, vol 16. Springer, pp 38–46
Raffin R, Neveu M, Jaar F (1999) Extended constrained deformations: a new sculpturing tool. In: Proceedings of international conference on shape modeling and applications, pp 219–224
Rappoport A, Sheffer A, Bercovier M (1996) Volume-preserving free-form solids. IEEE Trans Vis Comput Graph 2(1):19–27
Hu S, Zhang HCT, Sun J (2000) Direct manipulation of ffd. The Vis Comput 17:370–379
Sederberg T, Parry S (1986) Free-form deformation of solid geometrics models. ACM Trans Graph 20(4):151–160
Singh K, Fiume E (1998) Wires: a geometric deformation technique. In: Proceedings of Siggraph'98 conference, Comput Graph, pp 405–414
Yoon SH, Kim MS (2006) Sweep-based freeform deformations. Comput Graph Forum (Eurographics) 25(3):487–496
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Raffin, R. (2013). Free Form Deformations or Deformations Non-Constrained by Geometries or Topologies. In: González Hidalgo, M., Mir Torres, A., Varona Gómez, J. (eds) Deformation Models. Lecture Notes in Computational Vision and Biomechanics, vol 7. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-5446-1_2
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