Skip to main content

Deformation and Smooth Joining of Mesh Models for Cardiac Surgical Simulation

  • Conference paper
Advances in Geometric Modeling and Processing (GMP 2008)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4975))

Included in the following conference series:

  • 2658 Accesses

Abstract

This paper focuses on an important aspect of cardiac surgical simulation, which is the deformation of mesh models to form smooth joins between them. A novel algorithm based on the Laplacian deformation method is developed. It extends the Laplacian method to handle deformation of 2-manifold mesh models with 1-D boundaries, and joining of 1-D boundaries to form smooth joins. Test results show that the algorithm can produce a variety of smooth joins common in cardiac surgeries, and it is efficient for practical applications.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Castañeda, M.A.P., Cosío, F.A.: Deformable model of the prostate for TURP surgery simulation. Computers & Graphics 28(5), 767–777 (2004)

    Article  Google Scholar 

  2. Crouch, J.R., Merriam, J.C., Crouch, E.R.: Finite element model of cornea deformation. In: Duncan, J.S., Gerig, G. (eds.) MICCAI 2005. LNCS, vol. 3750, pp. 591–598. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  3. Gardner, T.J., Spray, T.L.: Operative Cardiac Surgery, 5th edn. Arnold (2004)

    Google Scholar 

  4. Gladilin, E., Ivanov, A., Roginsky, V.: Generic approach for biomechanical simulation of typical boundary value problems in cranio-maxillofacial surgery planning. In: Barillot, C., Haynor, D.R., Hellier, P. (eds.) MICCAI 2004. LNCS, vol. 3217, pp. 380–388. Springer, Heidelberg (2004)

    Google Scholar 

  5. Kuhnapfel, U., Cakmak, H., Maass, H.: Endoscopic surgery training using virtual reality and deformable tissue simulation. Computers & Graphics 24, 671–682 (2000)

    Article  Google Scholar 

  6. Liepa, P.: Filling holes in meshes. In: Proceedings of Eurographics/ACM SIGGRAPH symposium on Geometry processing, pp. 200–205 (2003)

    Google Scholar 

  7. MacCracken, R., Joy, K.I.: Free-form deformations with lattices of arbitrary topology. In: Proc. of ACM SIGGRAPH, pp. 181–188 (1996)

    Google Scholar 

  8. Masuda, H., Yoshioka, Y., Furukawa, Y.: Interactive mesh deformation using equality-constrained least squares. Computers & Graphics 30(6), 936–946 (2006)

    Article  Google Scholar 

  9. Meyer, M., Desbrun, M., Schröder, P., Barr, A.H.: Discrete differential-geometry operators for triangulated 2-manifolds. In: Hege, H.-C., Polthier, K. (eds.) Visualization and Mathematics III, pp. 35–57. Springer, Heidelberg (2002)

    Google Scholar 

  10. Mosegaard, J.: LR-spring mass model for cardiac surgical simulation. In: Proc. of 12th Conf. on Medicine Meets Virtual Reality, pp. 256–258 (2004)

    Google Scholar 

  11. Park, S., Guo, X., Shin, H., Qin, H.: Surface completion for shape and appearance. The Visual Computer 22, 168–180 (2006)

    Article  Google Scholar 

  12. Sederberg, T.W., Parry, S.R.: Free-form deformation of solid geometric models. In: Proc. of ACM SIGGRAPH, pp. 151–160 (1986)

    Google Scholar 

  13. Sorkine, O., Lipman, Y., Cohen-Or, D., Alexa, M., Rössl, C., Seidel, H.-P.: Laplacian surface editing. In: Proc. of Eurographics/ACM SIGGRAPH Symposium on Geometry Processing, pp. 175–184 (2004)

    Google Scholar 

  14. Weng, Y., Xu, W., Wu, Y., Zhou, K., Guo, B.: 2D shape deformation using nonlinear least squares optimization. The Visual Computer 22(9), 653–660 (2006)

    Article  Google Scholar 

  15. Williams, C., Kakadaris, I.A., Ravi-Chandar, K., Miller, M.J., Patrick, J.C.W.: Simulation Studies for Predicting Surgical Outcomes in Breast Reconstructive Surgery. In: Ellis, R.E., Peters, T.M. (eds.) MICCAI 2003. LNCS, vol. 2878, pp. 9–16. Springer, Heidelberg (2003)

    Google Scholar 

  16. Yu, Y., Zhou, K., Xu, D., Shi, X., Bao, H., Guo, B., Shum, H.-Y.: Mesh editing with Poisson-based gradient field manipulation. ACM Trans. on Graphics 23(3), 644–651 (2004)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Falai Chen Bert Jüttler

Rights and permissions

Reprints and permissions

Copyright information

© 2008 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Li, H., Leow, W.K., Chiu, IS., Huang, SC. (2008). Deformation and Smooth Joining of Mesh Models for Cardiac Surgical Simulation. In: Chen, F., Jüttler, B. (eds) Advances in Geometric Modeling and Processing. GMP 2008. Lecture Notes in Computer Science, vol 4975. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-79246-8_37

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-79246-8_37

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-79245-1

  • Online ISBN: 978-3-540-79246-8

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics