Abstract
In surgery simulators, a computationally efficient and geometrically nonlinear deformation simulation approach is required for soft tissue simulation. Especially, in the case of presenting haptic sensation to users, computational cost becomes a large problem because a higher update rate is required in stable haptic feedback. In this paper, we propose an interactive nonlinear soft tissue simulation approach using an adaptive and corotated deformation model. In the approach, computation of nonlinearity consideration and deformation simulation are performed at different suitable resolution of tetrahedral adaptive mesh. We also propose the criterion for subdivision and simplification in the adaptive and corotated deformation simulation. In evaluation experiments, we implemented the proposed approach into our surgery simulator, and we confirmed the computation time, the accuracy of deformations and the stability of reaction forces. We believe that this approach is also useful for haptic interaction with other elastic materials (e.g. jelly and rubber) under large deformation.
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References
Fung, Y.C.: Foundations of Solid Mechanics. Prentice-Hall, Upper Saddle River (1965)
Fung, Y.C.: Biomechanics: Mechanical properties of living tissues. Springer, Berlin (1993)
Delingette, H.: Biquadratic and quadratic springs for modeling St Venant Kirchhoff materials. In: Proceeding of ISBMS, pp. 40–48, 2008
Kikuuwe, R., Tabuchi, H., Yamamoto, M.: An edge-based computationally efficient formulation of Saint Venant-Kirchhoff tetrahedral finite elements. ACM Trans. Graph. 28, 1–13 (2009)
Muller, M., Dorsey, J., McMillan, L., Jagnow, R., Cutler, B.: Stable real-time deformations. In: Proceeding of ACM SCA, pp. 49–54 (2002)
McAdams, A., Zhu, Y., Selle, A., Empey, M., Tamstorf, R., Teran, J., Sifakiss, E.: Efficient elasticity for character skinning with contact and collisions. ACM Trans. Graph. 30, 1–37 (2011)
Paloc, C., Faraci, A., Bello, F.: Online remeshing for soft tissue simulation in surgical training. IEEE Comput. Graphics Appl. 26, 24–34 (2006)
Debunne, G., Desbrun, M., Cani, M.-P., Barr, A. H.: Dynamic real-time deformations using space and time adaptive sampling. In: Proceeding of SIGGRAPH, pp. 31–36 (2001)
Tanaka, H. T., Tsujino, Y., Kamada, T., Viet, H. Q. H.: Bisection refinement-based real-time adaptive mesh model for deformation and cutting of soft objects. In: Proceeding of ICARCV, pp. 1–8 (2006)
Courtecuisse, H., Jung, H., Allard, J., Duriez, C.: GPU- based real-time soft tissue deformation with cutting and haptic feedback. J. Progress Biophys. Mol Biol. 103, 159–168 (2010)
Tagawa, K., Xu, C., Prince, J., Yamada, T., Tanaka H. T.: A rectangular tetrahedral adaptive mesh based corotated deformation model for interactive soft tissue simulation. In: Proceeding of IEEE EMBC, pp. 7164–7167 (2013)
Tanaka, H. T., Takama, Y., Wakabayashi, H.: Accuracy-based sampling and reconstruction with adaptive grid for parallel hierarchical tetrahedrization. In: Proceeding of VG, pp. 79–86 (2003)
Tagawa, K., Oishi, T., Tanaka, H. T.: Adaptive and embedded Deformation Model: an approach to haptic interaction with complex inhomogeneous elastic objects. In: Proceeding of IEEE WHC, pp. 169–174 (2013)
Delingette, H., Cotin, S., Ayache, N.: A hybrid elastic model allowing real-time cutting, deformations and force-feedback for surgery training and simulation. In: Proceeding of Computer Animation, pp. 70–81 (1999)
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Tagawa, K., Yamada, T., Tanaka, H.T. (2016). A Study on Corotated Nonlinear Deformation Model for Simulating Soft Tissue Under Large Deformation. In: Chen, YW., Torro, C., Tanaka, S., Howlett, R., C. Jain, L. (eds) Innovation in Medicine and Healthcare 2015. Smart Innovation, Systems and Technologies, vol 45. Springer, Cham. https://doi.org/10.1007/978-3-319-23024-5_30
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DOI: https://doi.org/10.1007/978-3-319-23024-5_30
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