# Semi-Automatic Modeling of Bones for Real-Time Surgery Support

### Roger Cuypers, Benjamin Weyers, Wolfram Luther

#### Abstract

Model-based reconstruction of human bones in the context of surgery support is an upcoming field of research in informatics and kinematics. Tools for planning surgeries and real-time support require appropri-ate mathematical models for rendering, interacting as well as for reconfiguration. Our conviction is that Su-perquadrics offer this powerful mathematical modeling capability. Image based data which result from MRI and X-ray examinations have to be extracted and gathered to 3D-point sets which are afterwards fitted by superquadrics-based models. The fitting process is complex and time consuming. To solve this problem and to provide real-time simulation for the field of surgery support, the knowledge of the expert user should be applied. This paper presents the concept and a prototypical implementation of an interactive system which involves the user into the fitting process to accelerate the calculation and to enhance the resulting model.

#### References

- Barr, A.H., 1981. Superquadrics and angle-preserving transformations. IEEE computer graphics and applications, 1:1, pp. 11-23.
- Banégas, F., Jaeger, M., Michelucci, D.. Roelens, M., 2001. The ellipsoidal skeleton in medical applications. In Proceedings of the sixth ACM symposium on solid modeling and applications, ACM Press, pp. 30-38.
- Chevalier, L., Jaillet, F., Baskurt, A., 2003. Segmentation and superquadric modeling of 3D objects. In Journal of Winter School of Computer Graphics, WSCG'03, 11:2, Feb. 2003, pp. 232-239.
- Cuypers, R., Tang, Z. Luther, W., & Pauli, J., 2008. Efficient and Accurate Femur Reconstruction using Model-based Segmentation and Superquadric Shapes. Proceedings Telehealth and Assistive Technologies TeleHealth/AT 2008 - Editor(s): R. Merrell, R.A. Cooper 4/16/2008 - 4/18/2008 Baltimore USA, ACTA Press 2008
- Goldfinger, E., 1991 Human anatomy for artists: The Elements of form, Oxford University Press, New York.
- Jaklic, A., Leonardis, A., Solina, F., 2000. Segmentation and recovery of superquadrics. In Vol. 20 of Computational Imaging and Vision, Kluwer, Dordrecht.
- Kecskeméthy, A., 1999. MOBILE Version 1.3. User's Guide
- Kršek P., Krupa P., 2003. Human tissue geometrical modelling, In: Applied Simulation and Modeling, Calgary, CA, IASTED, 2003, pp. 357-362, ISBN 0-88986-384-9
- Kurazume, R., Nakamura, K., Okada, T., Sato, Y., Sugano, N., Koyama, T., Iwashita, Y., Hasegawa, T., 2007. 3D reconstruction of a femoral shape using a parametric model and two 2D fluoroscopic images. IEEE International Conference on Robotics and Automation, pp.3002-3008, 2007
- Muraki, S., 1991. Volumetric shape description of range data using "blobby model", Computer graphics, 25:4, July 1991, pp. 227-235.
- Marlow, C., Naaman, M., Boyd, D., Davis, M., 2006. HT06, tagging paper, taxonomy, Flickr, academic article, to read. In HYPERTEXT 7806: Proceedings of the seventeenth conference on hypertext and hypermedia, pp. 31-40, ACM, New York, USA.
- Martin, T., Cohen, E., and Kirby, M, 2008. Volumetric parameterization and trivariate Bspline fitting using harmonic functions. In Proceedings of the 2008 ACM Symposium on Solid and Physical Modeling (Stony Brook, New York, June 02 - 04, 2008). SPM 7808. ACM, New York, NY, pp. 269-280.
- Metaxas, D., DeCarlo, D., 1998. Shape evolution with structural and topological changes using blending. IEEE transactions. Pattern recognition and machine intelligence, 20:11, Nov. 1998, pp. 1186-1205.
- Peng, X., Chi, X., Ochoa, J.A., Leu, M. C., 2003. Bone surgery simulation with virtual reality. ASME DETC2003/CIE, Chicago USA, September 2-6 2003.
- Solina, F., Bajcsy, R., 1990. Recovery of parametric models from range images: The case for superquadrics with global deformations. IEEE transactions on pattern analysis and machine intelligence 12, pp. 131-147.
- Terzopoulos, D., Metaxas, D., 1991. Dynamic 3D models with local and global deformations: Deformable superquadrics. In Transactions on pattern analysis and machine intelligence, 13: 7, July 1991, pp. 703-71.
- Werneke, J., 1994. The Inventor Toolmaker: Extending Open Inventor. Addison Wesley Pub Co Inc.2nd Edition.
- Zheng, G., Dong, X., Rajamani, K.T., Xuan Zhang; Styner, M., Thoranaghatte, R.U., Nolte, L.-P., Ballester, M.A.G., 2007. Accurate and Robust Reconstruction of a Surface Model of the Proximal Femur From Sparse-Point Data and a Dense-Point Distribution Model for Surgical Navigation. Biomedical Engineering, IEEE Transactions on , vol.54, no.12, pp.2109-2122,.
- Zhou, L., Kambhamettu, C., 1999. Extending superquadrics with exponent functions: Modeling and reconstruction. In CVPR99, pp. II: 73-78.

#### Paper Citation

#### in Harvard Style

Cuypers R., Weyers B. and Luther W. (2009). **Semi-Automatic Modeling of Bones for Real-Time Surgery Support** . In *Proceedings of the 1st International Workshop on Medical Image Analysis and Description for Diagnosis Systems - Volume 1: Workshop MIAD, (BIOSTEC 2009)* ISBN 978-989-8111-77-7, pages 13-23. DOI: 10.5220/0001814000130023

#### in Bibtex Style

@conference{workshop miad09,

author={Roger Cuypers and Benjamin Weyers and Wolfram Luther},

title={Semi-Automatic Modeling of Bones for Real-Time Surgery Support},

booktitle={Proceedings of the 1st International Workshop on Medical Image Analysis and Description for Diagnosis Systems - Volume 1: Workshop MIAD, (BIOSTEC 2009)},

year={2009},

pages={13-23},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0001814000130023},

isbn={978-989-8111-77-7},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the 1st International Workshop on Medical Image Analysis and Description for Diagnosis Systems - Volume 1: Workshop MIAD, (BIOSTEC 2009)

TI - Semi-Automatic Modeling of Bones for Real-Time Surgery Support

SN - 978-989-8111-77-7

AU - Cuypers R.

AU - Weyers B.

AU - Luther W.

PY - 2009

SP - 13

EP - 23

DO - 10.5220/0001814000130023