Abstract
In this paper we propose a generalized SCODEF deformation method in order to deform NURBS surface. The deformation method propose a wide class of deformation functions applied to a set of select-user constraints and a wide range of influence zones, expanding the used one for the original SCODEF method. Also, we propose the use of several norms and distances in order to define and compute the deformation function and the constraint influence zone, ensuring a wide range of deformed shapes.
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References
Angelidis, A., Wyvill, G., Cani, M.-P.: Sweepers: Swept user-defined tools for modeling by deformation. SMI 00, 63–73 (2004)
Bardinet, E., Cohen, L.D., Ayache, N.: A parametric deformable model to fit unstructured 3D data. Technical Report RR–2617, INRIA Institut National de Recherche en Informatique et en Automatique (1995)
Bardinet, E., Cohen, L.D., Ayache, N.: A parametric deformable model to fit unstructured 3D data. Computer Vision and Image Understanding: CVIU 71(1), 39–54 (1998)
Barr, A.: Global and local deformations of solid primitives. Computer Graphics 18(3), 21–30 (1984)
Bechmann, D., Dubreuil, N.: Animation through space and time based on a space deformation model. Journal of Visualization and Computer Animation 4(3), 165–184 (1993)
Bechmann, D., Gerber, D.: Arbitrary shaped deformations with dogme. The Visual Computer 19(2-3), 175–186 (2003)
Borrel, P., Bechmann, D.: Deformation of n-dimensional objects. In: SMA 1991: Proceedings of the first ACM symposium on Solid modeling foundations and CAD/CAM applications, pp. 351–369. ACM, New York (1991)
Borrel, P., Rappoport, A.: Simple constrained deformations for geometric modeling and interactive design. ACM Trans. Graph. 13(2), 137–155 (1994)
Cani–Gascuel, M.–P., Desbrun, M.: Animation of deformable models using implicit surfaces. IEEE/Transactions on visualization and Computer Graphics 3(1) (1997)
de Boor, C.: A practical guide to splines. Springer, New York (1978)
Delingette, H.: Simplex meshes: a general representation for 3D shape reconstruction. Technical Report 2214, INRIA Institut National de Recherche en Informatique et en Automatique (1994)
Feynman, R.: Modeling the appearance of cloth. Master’s thesis, Department of Electical Engineering and Computer Science. MIT, Cambridge (1986)
Gallier, J.: Curves and surfaces in geometric modeling: theory and algorithms. Morgan Kaufmann Publishers Inc., San Francisco (2000)
González-Hidalgo, M., Mir, A., Nicolau, G.: An evolution model of parametric surface deformation using finite elements based on B-splines. In: Proceedings of CompImage 2006 Conference, Computational Modelling of Objects Represented in Images: Fundamentals, Methods and Applications, Coimbra, Portugal (2006)
Lanquetin, S., Raffin, R., Neveu, M.: Generalized scodef deformations on subdivision surfaces. In: Perales, F.J., Fisher, R.B. (eds.) AMDO 2006. LNCS, vol. 4069, pp. 132–142. Springer, Heidelberg (2006)
Mascaró, M., Mir, A., Perales, F.: P3DMA: A physical 3D deformable modelling and animations system. In: Perales, F.J., Hancock, E.R. (eds.) AMDO 2002. LNCS, vol. 2492, pp. 68–79. Springer, Heidelberg (2002)
Piegl, L., Tiller, W.: The NURBS book, 2nd edn. Springer, New York, Inc. (1997)
Press, W., Teukolsky, S., Vetterling, W., Flannery, B.: Numerical Recipes in C, 2nd edn. Cambridge University Press, Cambridge (1992)
Raffin, R., Neveu, M., Jaar, F.: Curvilinear displacement of free-from based deformation. The Visual Computer 16, 38–46 (2000)
Raffin, R., Neveu, M., Jaar, F.: Extended constrained deformations: a new sculpturing tool. In: International Conference on Shape Modeling and Applications, March 1999, pp. 219–224. IEEE Computer Society, Los Alamitos (1999)
Sederberg, T.W., Parry, S.R.: Free-form deformation of solid geometric models. SIGGRAPH Comput. Graph. 20(4), 151–160 (1986)
Terzopoulos, D., Platt, J., Barr, A., Fleischer, K.: Ellastically deformable models. Computer Graphics (Proceedings SIGGRAPH) 21(4), 205–214 (1987)
Wernecke, J.: The Inventor Toolmaker: Extending Open Inventor, release 2. Addison-Wesley, Reading (1994)
Wernecke, J.: The Inventor Mentor: Programming Object–oriented 3D graphics with Open Inventor release 2. Addison-Wesley, Reading (1995)
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Clapés, M., González-Hidalgo, M., Mir-Torres, A., Palmer-Rodríguez, P.A. (2008). Interactive Constrained Deformations of NURBS Surfaces: N-SCODEF. In: Perales, F.J., Fisher, R.B. (eds) Articulated Motion and Deformable Objects. AMDO 2008. Lecture Notes in Computer Science, vol 5098. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-70517-8_35
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DOI: https://doi.org/10.1007/978-3-540-70517-8_35
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-70516-1
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