Abstract
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Transcript of Abstract
Abstract
3D FINITE ELEMENT MESHING OF ENTIRE FEMORA BY USING THE MESH MATCHING ALGORITHM
V. Luboz, B. Couteau, and Y. PayanContact: [email protected]
TIMC Laboratory Université Joseph Fourier GRENOBLE FRANCE
Laboratoire de biomécanique TOULOUSE, FRANCE
Finite element (FE) analysis of muscular-skeletal systems has been developed to predict mechanical behavior of structures as for instance the bone remodeling [1], the implant performance [2], or fracture process [3]. Unfortunately, 3D FE model construction and especially mesh design is time consuming and requires a prohibitive amount of manual tasks. These difficulties tend to limit FE studies to 2D models or to 3D “average” generic models. However, patient-specific models can be necessary, particularly for the assessment of fracture risks, which requires to know the specific patient morphology. For this reason, patients geometry based meshing algorithms have already been proposed, as for example the CT scan-based FE models that use automatic voxel superimposition [4]. In the same framework, another method, called the Mesh-Matching (M-M) algorithm, has been recently proposed [5]. This method is applied here for the generation of entire femora FE meshes.
Application to entire femora
References[1] Huiskes: ”Stress shielding and bone resorption in THA : clinical versus computer-simulation studies”, Acta Orthopedica. Belgica, 59/1:118-129, 1993;[2] Kuiper et al.: “Friction and stem stiffness affect dynamic interface motion in total hip replacement”, J. Orthop Res, 14/1:36-43, 1996; [3]Keyak et al.: 43rd Trans ORS:332, 1997;[4] Keyak et al.: “Validation of an automated method of the three-dimensionnal finite element modelling of bone”, J. Biomed Eng, 15:505-509, 1993;[5] Couteau et al.: “The Mesh-Matching algorithm : an automatic 3D mesh generator for finite element structures”, J. Biomech, 33/8:1005-1009, 2000;[6] Couteau et al.: “Finite element modelling of the vibrational behaviour of the human femur using CT-based individualised geometrical and material properties”, J. Biomech, 31:383-386, 1998.
Methodology illustrated on proximal femora [5]
Model external nodes Patient surfacic points
application ofthe elastictransform T to each node of the generic model
1. Registration : computation of the elastic transform T between generic model external nodes and patient surfacic points
T
2. Inference : a 3D mesh adapted to the patient
3D generic mesh generated volumic patient mesh
C. The mesh-matching algorithm :
Segmentation of patient CT scan images
Set of 3D points of the patient femora surface
Application of the MM algorithm
Results
- Geometrical differences between the generic femur and 5 patient femora (see figures besides)- Patient mesh as regular as the reference model.- measurement of the elements distortion with Patran software : 15 % of the reference elements are outside the 45°-135° isoparametric angle (Patran distorsion angle), idem for patient meshes.
No alteration of the elements quality- advantages of this method : allows the hexahedral meshing, patient geometry taken into account, satisfactory regularities for the generated meshes.
Patient surface points
genericmesh
Generated 3D patientmesh
Len
gth
Head ØNeck Ø
A. Construction of a generic model (built once and then used as a reference) :1. Based on CT scan images, 2. constructed with a mechanical software (MSC/Patran) and 3. validated in terms of frequencies and surface strains [6]
1. CT scans of the patient proximal femora ; 2. Segmentation of the external surface B. Patient data acquisition: