Abstract
Competing concepts exist regarding surgery for instance of the cleft lip and palate to date. In order to support the surgeon to predict the possible outcome of a variety of the approaches a promising procedure are morphology-based finite element simulations at histological scale. It however can be a challenge to generate volume meshes that are applicable to the mathematical modeling of three-dimensional spatial modifications. In this study we discuss the variation of the segmentations by different anatomy experts with respect to shape, analyze the associated reconstructions by the finite element method and compare them among one another. The gist of the study is that an exact segmentation is fundamental precedent for a simulation and minor deviations in shape may arise deviations in a finite element simulation.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Delaire, J.: Le cheilo-rhinoplastie primaire pour fente labiomaxillaire congenitale unilateral. Rev. Stomatol. 76, 193 (1975)
Millard, D.: Cleft craft: The evolution of it’s surgery. the unilateral deformity I (1976)
Randall, P., LaRossa, L.W.D.: The importance of muscle reconstruction in primary and secondary cleft lip repair. Plast. Reconstr. Surg. 64, 316–323 (1974)
Kriens, O.: An anatomical approach to veloplasty. Plast. Reconstr. Surg. 43, 29–41 (1969)
Sader, R., Zeilhofer, H., Dietz, M., Bressmann, T., Hannig, C., Putz, R., Horch, H.: Levatorplasty, a new technique to treat hypernasality: anatomical investigations and preliminary clinical results. J. Cranio-Maxillofac Surg. 29, 143–149 (2001)
Latham, R., Deaton, T.: The structural basis of the philtrum and the contour of the vermilion border: a study of the musculature of the upper lip. J. Anat. 121, 151–160 (1976)
Mulliken, J., Pensler, J., Kozakewich, H.: The anatomy of cupid’s bow in normal and cleft lip. Plast. Reconstr. Surg. 92, 395–403 (1993)
Bern, M., Plassmann, P.: Mesh generation. In: Handbook of Computational Geometry, pp. 291–332. Elsevier Science, Amsterdam (2000)
George, P.L.: Automatic mesh generation. Application to Finite Element Methods (1991)
Frey, P.J.: Mesh generation. Hermes Science Europe Ltd (2000)
Landes, C.A., Weichert, F., Geis, P., Wernstedt, K., Wilde, A., Fritsch, H., Wagner, M.: Tissue-plastinated vs. celloidin-embedded large serial sections in video, analog and digital photographic on-screen reproduction: a preliminary step to exact virtual 3d modelling, exemplified in the normal midface and cleft-lip and palate. J. Anat. 207, 175–191 (2005)
Sarfraz, M.: Object recognition using fourier descriptors: Some experiments and observations. In: International Conference on Computer Graphics, Imaging and Visualisation, pp. 281–286 (2006)
Müller, H., Klingert, A.: Surface interpolation from cross sections. In: Focus on Scientific Visualization, pp. 139–189. Springer, Heidelberg (1993)
Zhao, H.K., Osher, S., Fedkiw, R.: Fast surface reconstruction using the level set method. In: IEEE Workshop on Variational and Level Set Methods (VLSM 2001), p. 194 (2001)
Osher, S., Fedkiw, R.: Level Set Methods and Dynamic Implicit Surfaces. Applied Mathematical Sciences. Springer, Berlin (2002)
Shewchuk, J.: What is a good linear finite element? Interpolation, Conditioning, Anisotropy, and Quality Measures (2002)
Bridson, R., Teran, J., Molino, N., Fedkiw, R.: Adaptive physics based tetrahedral mesh generation using level sets. Engineering with Computers 21, 2–18 (2005)
Martins, J.A.C., Pires, E.B., Salvado, R., Dinis, P.B.: A numerical model of passive and active behavior of skeletal muscles. Comput. Methods Appl. Mech. Eng. 151(3-4), 419–433 (1998)
Martins, P., Natal Jorge, R., Ferreira, A.: A comparative study of several material models for prediction of hyperelastic properties: Application to silicone-rubber and soft tissues. Strain 42, 135–147 (2006)
Van Loocke, M., Lyons, C., Simms, C.: The three-dimensional mechanical properties of skeletal muscle: Experiments and modelling. In: Prenderga. St., et al. (eds.) Topic in Bio-Mechanical Engineering, Trinity Centre for Bioengineering & National Centre for Biomedical Engineering Science (2004)
Weiss, J.A., Maker, B.N., Govindjee, S.: Finite element implementation of incompressible, transversely isotropic hyperelasticity. Comput. Methods Appl. Mech. Eng. 135(1-2), 107–128 (1996)
Kikuchi, N., Oden, J.: Contact problems in elasticity: A study of variational inequalities and finite element methods. In: SIAM Studies in Applied Mathematics. SIAM, Society for Industrial and Applied Mathematics, Philadelphia (1988)
Le Tallec, P.: Numerical methods for nonlinear three-dimensional elasticity. In: Ciarlet, P.G., et al. (eds.) Handbook of numerical analysis. Volume III: Techniques of scientific computing (Part 1). Numerical methods for solids (Part 1). Solution of equations in \({\mathbb R}^n\) (Part 2), pp. 465–622. North-Holland, Amsterdam (1994)
Crisfield, M.A.: Nonlinear finite element analysis of solids and structures: Advanced topics, vol. 2. Wiley. xiv, Chichester (1997)
Jankovich, E., Leblanc, F., Durand, M., Bercovier, M.: A finite element method for the analysis of rubber parts, experimental and analytical assessment. Comput. Struct. 14, 385–391 (1981)
Chen, J., Satyamurthy, K., Hirschfelt, L.: Consistent finite element procedures for nonlinear rubber elasticity with a higher order strain energy function. Comput. Struct. 50(6), 715–727 (1994)
Tabaddor, F.:Rubber elasticity models for finite element analysis. Comput. Struct. 26, 33–40 (1987)
Peng, S.H., Chang, W.V.: A compressible approach in finite element analysis of rubber-elastic materials. Comput. Struct. 62(3), 573–593 (1997)
Rueter, M.: Error controlled adaptive finite element methods in large strain hyperelasticity and fracture mechanics. Inst. für Baumechanik und Numerische Mechanik, Hannover (2003)
Hackbusch, W.: Theorie und Numerik elliptischer Differentialgleichungen. Teubner Studienbücher: Mathematik. B. G. Teubner, Stuttgart (1996)
Si, H.: Tetgen (2008), http://tetgen.berlios.de
Sebastian, G., Stein, A.: Regional approaches to the reconstruction of the lip region. Facial. Plast. Surg. 13, 125–135 (1997)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2009 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Walczak, L., Weichert, F., Schröder, A., Landes, C., Müller, H., Wagner, M. (2009). Evaluating the Impact of Shape on Finite Element Simulations in a Medical Context. In: Magnenat-Thalmann, N. (eds) Modelling the Physiological Human. 3DPH 2009. Lecture Notes in Computer Science, vol 5903. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-10470-1_9
Download citation
DOI: https://doi.org/10.1007/978-3-642-10470-1_9
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-10468-8
Online ISBN: 978-3-642-10470-1
eBook Packages: Computer ScienceComputer Science (R0)