Real-time simulation of elastic objects in Virtual Environments using finite element method and precomputed Green's functions

Proceedings of the 8th Eurographics Workshop on Virtual Environments, EGVE 2002

Volumn , Issue , 2002, Pages 47-52

  Nikitin, Igor ^a   Nikitina, Lialia ^a   Frolov, Pavel ^a   Goebbels, Gernot ^a   Göbel, Martin ^a   Klimenko, Stanislav ^b   Nielson, Gregory M ^c  

^a FRAUNHOFER GESELLSCHAFT   (Germany)

^b INSTITUTE FOR HIGH ENERGY PHYSICS   (Russian Federation)

^c ARIZONA STATE UNIVERSITY   (United States)

Author keywords

Elastic deformation; Finite Element Method; Green's functions; Virtual Environments

Indexed keywords

3D MODELING; ELASTIC DEFORMATION; FINITE ELEMENT METHOD; THREE DIMENSIONAL COMPUTER GRAPHICS; VISUALIZATION;

ELASTIC OBJECTS; GREENS FUNCTION; IMMERSIVE; IMPORTANT FEATURES; INTERACTIVE ENVIRONMENTS; OBJECT BEHAVIOR; OBJECT INTERACTIONS; REAL- TIME; REALTIME SIMULATION (RTS); THREE-DIMENSIONAL OBJECT;

VIRTUAL REALITY;

EID: 84974705637     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (16)

1. Bro-Nielsen M., Cotin S., Real-Time Volumetric Deformable Models for Surgery Simulation using Finite Elements and Condensation, Eurographics'96, Vol.15 (1996) No.3, C57-C66 (note: In Eq.(23) the cyclic interchange of the indices should be followed by change of the sign).
2. Gibson S.F., Mirtich B., A survey of deformable models in computer graphics, Technical Report TR-97-18, Mitsubishi Electric Research Laboratories, Cambridge, MA, November 1997.
3. James D., Pai D., Artdefo Accurate Real Time Deformable Objects, Computer Graphics, vol.33, pp.65-72, 1999.
4. Picinbono G., Delingette H., Nicholas H.-A., Non-Linear Anisotropic Elasticity for Real-Time Surgery Simulation, INRIA Research Report 4028, October 2000.
5. Y.Zhuang, J.F.Canny, Real-time global deformations, In Algorithmic and Computational Robotics, pp.97-107, Natick MA, 2001. A.K.Peters.
6. Krüger W., Bohn C., Fröhlich B., Schüth H., Strauss W., Wesche G., The Responsive Workbench: A Virtual Work Environment, IEEE Computer, pp. 12-15, 1994.
7. Eckel G., Göbel M., Hasenbrink F., Heiden W., Lechner U., Tramberend H., Wesche G., Wind J. Benches and Caves. In: Bullinger H.J., Riedel O. (eds.) Proc. 1st Int. Immersive Projection Technology Workshop. Springer-Verlag, London, 1997.
8. Cruz-Neira C. Surround-Screen Projection-Based Virtual Reality: The Design and Implementation of the CAVE. Computer Graphics Proc., Annual Conference Series, 1993, pp.135-142.
9. Tramberend H., Avocado: A Distributed Virtual Reality Framework, Proc. of the IEEE Virtual Reality, 1999.
10. R. Kent Dybvig. The Scheme programming language: ANSI Scheme. P T R Prentice-Hall, Englewood Cliffs, NJ 07632, USA, Edition 2, 1996.
11. L. D. Landau, E. M. Lifschitz, Theory of Elasticity, volume VII of Theoretical Physics, Moscow, Nauka, 1970.
12. U. Meier et al, Real-Time Simulation of Minimally-Invasive Surgery with Cutting Based on Boundary Element Methods, Lecture Notes in Computer Science (2001) V.2208, p.1263.
13. O. C. Zienkiewcz, R. L. Taylor, The Finite Element Method, Vol.1, Edition 5, Butterworth-Heinemann, Oxford 2000 (note: In Eq.(6.5b) the cyclic interchange of the indices should be followed by change of the sign).
14. A. O. Frank, I. A. Twombly, J. D. Smith, Finite Element Methods for real-time Haptic Feedback of Soft-Tissue Models in Virtual Reality Simulators, Proceedings of VR2001.
15. J. Berkley et al, Banded Matrix Approach to Finite Element Modeling for Soft Tissue Simulation, Virtual Reality: Research, Development, and Applications (1999) 4:203-212.
16. Hirota, G., Fisher, S. and Lin, M., Simulation of Nonpenetrating Elastic Bodies Using Distance Fields. UNC Technical Report TR00-018, 2000.