Abstract
This paper models force of machining a piece of bone by a spherical rotating tool for haptic simulation of bone surgery. The cutting edges of the spherical tool are modeled as a set of infinitesimal cutting elements. Each cutting element in contact with the bone piece undergoes an orthogonal cutting process. The force of cutting is obtained by summing up the forces of each element of the engaged cutting element. The force of each cutting element is related to the size of the chip formed at the bone piece due to a fracture process. The coefficients that relate the chip thickness to the cutting forces are derived from the experimental results. A voxel-based method is developed to simulate chip formation and the force of bone machining. The simulation results show a close force correlation between the voxel-based method and an analytical force model at certain loading conditions. This voxel-based method offers a physics-based continuous force model for bone machining.
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References
Mahvash, M., Hayward, V.: High Fidelity Haptic Synthesis of Contact with Deformable Bodies. IEEE Comp. Graphics and App. 24(2), 48–55 (2004)
Bryan, J., Stredney, D., Wiet, G., Sessanna, D.: Virtual Temporal Bone Dissection: A Case Study. In: Proc. of IEEE Visualization, pp. 497–500 (October 2001)
Petersik, A., Pflesser, B., Tiede, U., Hoehne, K.H., Leuwer, R.: Haptic Volume Intraction with Anatomic Modelsat Sub-Voxel Resolution. In: Proc. 10th Symp. on Haptic Interfaces for Virtual Environment and Teleoperator Sys., pp. 66–72 (2002)
Morris, D., Sewell, C., Barbagli, F., Blevins, N., Girod, S., Salisbury, K.: Visuohaptic Simulation of Bone Surgery for Training and Evaluation. IEEE Computer Graphics and Applications 26(4), 48–57 (2006)
Agus, M., Giachetti, A., Gobbetti, E., Zanetti, G., Zorcolo, A.: A Multiprocessor Decoupled System for the Simulation of Temporal Bone Surgery. Computing and Visualization in Science 5(1), 35–43 (2002)
Wang, D., Zhang, Y., Wang, Y., Lee, Y.S., Lu, P., Wang, Y.: Cutting on Triangle Mesh Local Model-Based Haptic Display for Dental Preparation Surgery Simulation. IEEE Trans. Visual. Comput. Graph. 11(6), 671–683 (2005)
Kim, L., Park, S.H.: Haptic Interaction and Volume Modeling Techniques for Realistic Dental Simulation. Visual Computing 22, 90–98 (2006)
Yau, H.T., Hsu, C.Y.: Development of a Dental Training System Based on Point-Based Models. Computer-Aided Design & Applications 3(6), 779–787 (2006)
Johnson, W., Mellor, P.B.: Engineering Plasticity, V.N. Reinhold, London (1973)
Jacobs, C.H., Pope, M.H., Berry, J.T., Hoaglund, F.: A Study of the Bone Machining Process–Orthogonal Cutting. J. of Biomech. 7(2), 131–136 (1974)
Plaskos, C., Hodgson, A.J., Cinquin, P.: Modeling and Optimization of Bone-Cutting Forces in Orthopaedic Surgery. In: Ellis, R.E., Peters, T.M. (eds.) MICCAI 2003. LNCS, vol. 2878, pp. 254–261. Springer, Heidelberg (2003)
Wiggins, K.L., Malkin, S.: Drilling of Bone. J. of Biomech. 9(9), 553–559 (1976)
Krause, W.R.: Orthogonal Bone Cutting: Saw Design and Operating Characteristics. J. of Biomech. Eng. 109(3), 263–271 (1987)
Jackson, M.J., Robinson, G.M., Sein, H., Ahmed, W., Woodwards, R.: Machining Cancellous Bone Prior to Prosthetic Implantation. J. of Materials Eng. and Performance 14(3), 293–300 (2005)
Ehmann, K.F., Kapoor, S.G., DeVor, R.E., Lazoglu, I.: Machining Process Modeling: a Review. ASME J. Manuf. Sci. Eng. 119(4-B), 655–663 (1997)
Lim, E.M., Feng, H.Y., Menq, C.H., Lin, Z.H.: The Prediction of Dimensional Error for Sculptured Surface Productions Using the Ball-End Milling Process, Part 1: Chip Geometry Analysis and Cutting Force Prediction. Int. J. of Mach. Tools and Manuf. 35(8), 1149–1169 (1995)
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Moghaddam, M., Nahvi, A., Arbabtafti, M., Mahvash, M. (2008). A Physically Realistic Voxel-Based Method for Haptic Simulation of Bone Machining. In: Ferre, M. (eds) Haptics: Perception, Devices and Scenarios. EuroHaptics 2008. Lecture Notes in Computer Science, vol 5024. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-69057-3_82
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DOI: https://doi.org/10.1007/978-3-540-69057-3_82
Publisher Name: Springer, Berlin, Heidelberg
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