A finite element model of the face including an orthotropic skin model under in vivo tension

Computer models of the human face have the potential to be used as powerful tools in surgery simulation and animation development applications. While existing models accurately represent various anatomical features of the face, the representation of the skin and soft tissues is very simplified. A computer model of the face is proposed in which the skin is represented by an orthotropic hyperelastic constitutive model. The in vivo tension inherent in skin is also represented in the model. The model was tested by simulating several facial expressions by activating appropriate orofacial and jaw muscles. Previous experiments calculated the change in orientation of the long axis of elliptical wounds on patients' faces for wide opening of the mouth and an open-mouth smile (both 30o). These results were compared with the average change of maximum principal stress direction in the skin calculated in the face model for wide opening of the mouth (18o) and an open-mouth smile (25o). The displacements of landmarks on the face for four facial expressions were compared with experimental measurements in the literature. The corner of the mouth in the model experienced the largest displacement for each facial expression (∼11–14 mm). The simulated landmark displacements were within a standard deviation of the measured displacements. Increasing the skin stiffness and skin tension generally resulted in a reduction in landmark displacements upon facial expression.

[1]  Paul Suetens,et al.  Predicting soft tissue deformations for a maxillofacial surgery planning system: From computational strategies to a complete clinical validation , 2007, Medical Image Anal..

[2]  Yohan Payan,et al.  Coupled hard–soft tissue simulation with contact and constraints applied to jaw–tongue–hyoid dynamics , 2011 .

[3]  Luigi Gambarotta,et al.  Computational modeling of reconstructive surgery: The effects of the natural tension on skin wrinkling , 2009 .

[4]  Cormac Flynn,et al.  Finite element modelling of forearm skin wrinkling , 2008, Skin research and technology : official journal of International Society for Bioengineering and the Skin (ISBS) [and] International Society for Digital Imaging of Skin (ISDIS) [and] International Society for Skin Imaging.

[5]  K. Moos,et al.  How accurate is model planning for orthognathic surgery? , 2008, International journal of oral and maxillofacial surgery.

[6]  J. Weiss,et al.  Finite element implementation of incompressible, transversely isotropic hyperelasticity , 1996 .

[7]  Frauke Müller,et al.  Distances between facial landmarks can be measured accurately with a new digital 3-dimensional video system. , 2010, American journal of orthodontics and dentofacial orthopedics : official publication of the American Association of Orthodontists, its constituent societies, and the American Board of Orthodontics.

[8]  Carl N Stephan,et al.  Facial Soft Tissue Thicknesses in Australian Adult Cadavers * , 2006, Journal of forensic sciences.

[9]  J Middleton,et al.  An elastomeric material for facial prostheses: synthesis, experimental and numerical testing aspects. , 2003, Biomaterials.

[10]  D. Vandermeulen,et al.  Computerized craniofacial reconstruction: Conceptual framework and review. , 2010, Forensic science international.

[11]  John Middleton,et al.  Finite element modelling of maxillofacial surgery and facial expressions—a preliminary study , 2010, The international journal of medical robotics + computer assisted surgery : MRCAS.

[12]  J Serup,et al.  In vivo skin elasticity of 22 anatomical sites , 1995, Skin research and technology : official journal of International Society for Bioengineering and the Skin (ISBS) [and] International Society for Digital Imaging of Skin (ISDIS) [and] International Society for Skin Imaging.

[13]  M. Ferguson,et al.  The dynamic rotation of Langer's lines on facial expression. , 2007, Journal of plastic, reconstructive & aesthetic surgery : JPRAS.

[14]  R M Kenedi,et al.  Biomechanical properties of skin. , 1967, The Surgical clinics of North America.

[15]  A F Borges,et al.  Relaxed skin tension lines (RSTL) versus other skin lines. , 1984, Plastic and reconstructive surgery.

[16]  P. Perrier,et al.  Shaping by stiffening: a modeling study for lips. , 2011, Motor control.

[17]  Wendy L Gilleard,et al.  Three-Dimensional Quantification of the Symmetry of Normal Facial Movement , 2002, Otology & neurotology : official publication of the American Otological Society, American Neurotology Society [and] European Academy of Otology and Neurotology.

[18]  A. Albert,et al.  A review of the literature on the aging adult skull and face: implications for forensic science research and applications. , 2007, Forensic science international.

[19]  V. Couturaud,et al.  Skin biomechanical properties: in vivo evaluation of influence of age and body site by a non‐invasive method , 1995, Skin research and technology : official journal of International Society for Bioengineering and the Skin (ISBS) [and] International Society for Digital Imaging of Skin (ISDIS) [and] International Society for Skin Imaging.

[20]  C. Tzou,et al.  Three-dimensional video-analysis of facial movements in healthy volunteers. , 2003, British journal of plastic surgery.

[21]  Andrew Taberner,et al.  Measurement of the force-displacement response of in vivo human skin under a rich set of deformations. , 2011, Medical engineering & physics.

[22]  Andrew Taberner,et al.  Modeling the Mechanical Response of In Vivo Human Skin Under a Rich Set of Deformations , 2011, Annals of Biomedical Engineering.

[23]  F H Silver,et al.  Mechanical analysis of hypertrophic scar tissue: structural basis for apparent increased rigidity. , 1986, The Journal of investigative dermatology.

[24]  Robert Gniadecki,et al.  Skin aging and natural photoprotection. , 2004, Micron.

[25]  Lutz-Peter Nolte,et al.  A new soft-tissue simulation strategy for cranio-maxillofacial surgery using facial muscle template model. , 2010, Progress in biophysics and molecular biology.

[26]  Laura Verzé,et al.  Quantification of Facial Movements by Surface Laser Scanning , 2011, The Journal of craniofacial surgery.

[27]  Eben L Rosenthal,et al.  Functional outcomes of fibula and osteocutaneous forearm free flap reconstruction for segmental mandibular defects , 2010, The Laryngoscope.

[28]  P. Deuflhard,et al.  Anatomy- and physics-based facial animation for craniofacial surgery simulations , 2004, Medical and Biological Engineering and Computing.

[29]  Gerard A Ateshian,et al.  A frame-invariant formulation of Fung elasticity. , 2009, Journal of biomechanics.

[30]  Y. Lee,et al.  Skin thickness of Korean adults , 2002, Surgical and Radiologic Anatomy.

[31]  G. Piérard,et al.  The riddle of genuine skin microrelief and wrinkles , 2006, International journal of cosmetic science.

[32]  M. Mezitis,et al.  The normal range of mouth opening. , 1989, Journal of oral and maxillofacial surgery : official journal of the American Association of Oral and Maxillofacial Surgeons.

[33]  A F Borges,et al.  Relaxed skin tension lines. , 1989, Dermatologic clinics.

[34]  A G Hannam,et al.  Current computational modelling trends in craniomandibular biomechanics and their clinical implications. , 2011, Journal of oral rehabilitation.

[35]  Edoardo Mazza,et al.  Experimental and numerical study on the mechanical behavior of the superficial layers of the face , 2011, Skin research and technology : official journal of International Society for Bioengineering and the Skin (ISBS) [and] International Society for Digital Imaging of Skin (ISDIS) [and] International Society for Skin Imaging.

[36]  E. Cerda,et al.  Mechanics of scars. , 2005, Journal of biomechanics.

[37]  Brendan A O McCormack,et al.  Simulating the wrinkling and aging of skin with a multi-layer finite element model. , 2010, Journal of biomechanics.

[38]  S. Delp,et al.  A 3D model of muscle reveals the causes of nonuniform strains in the biceps brachii. , 2005, Journal of biomechanics.

[39]  D W Furnas,et al.  The Retaining Ligaments of the Cheek , 1989, Plastic and reconstructive surgery.

[40]  C Sforza,et al.  The effect of age and sex on facial mimicry: a three-dimensional study in healthy adults. , 2010, International journal of oral and maxillofacial surgery.

[41]  S E Coulson,et al.  Quantification of the Three-Dimensional Displacement of Normal Facial Movement , 2000, The Annals of otology, rhinology, and laryngology.

[42]  Takashi Kitahara,et al.  A study of diurnal variation in wrinkles on the human face , 2004, Archives of Dermatological Research.

[43]  S. L. Evans,et al.  Measuring the mechanical properties of human skin in vivo using digital image correlation and finite element modelling , 2009 .

[44]  Roland Bazin,et al.  Influence of age on the wrinkling capacities of skin , 2002, Skin research and technology : official journal of International Society for Bioengineering and the Skin (ISBS) [and] International Society for Digital Imaging of Skin (ISDIS) [and] International Society for Skin Imaging.

[45]  V. Wright,et al.  Mechanical properties of skin: a bioengineering study of skin structure. , 1966, Journal of applied physiology.

[46]  Stavros Kiliaridis,et al.  Gender and age differences in facial expressions. , 2009, European journal of orthodontics.

[47]  Hiroshi Ohshima,et al.  Relevance of the directionality of skin elasticity to aging and sagging of the face , 2011, Skin research and technology : official journal of International Society for Bioengineering and the Skin (ISBS) [and] International Society for Digital Imaging of Skin (ISDIS) [and] International Society for Skin Imaging.

[48]  G G Barbarino,et al.  Development and validation of a three-dimensional finite element model of the face. , 2009, Journal of biomechanical engineering.

[49]  Yohan Payan,et al.  Finite element speaker-specific face model generation for the study of speech production , 2010, Computer methods in biomechanics and biomedical engineering.

[50]  R E Barsley,et al.  In vivo facial tissue depth measurements for children and adults. , 2000, Journal of forensic sciences.

[51]  William P. Adams,et al.  Analysis of Facial Skin Thickness: Defining the Relative Thickness Index , 2005, Plastic and reconstructive surgery.

[52]  Yohan Payan,et al.  Patient specific finite element model of the face soft tissues for computer-assisted maxillofacial surgery , 2003, Medical Image Anal..

[53]  Yu Zhang,et al.  Face alive , 2004, J. Vis. Lang. Comput..

[54]  Baining Guo,et al.  Geometry-driven photorealistic facial expression synthesis , 2003, IEEE Transactions on Visualization and Computer Graphics.

[55]  Yohan Payan,et al.  Simulation of dynamic orofacial movements using a constitutive law varying with muscle activation , 2010, Computer methods in biomechanics and biomedical engineering.