Image-based meshing

Image-based meshing is the automated process of creating computer models for computational fluid dynamics (CFD) and finite element analysis (FEA) from 3D image data (such as magnetic resonance imaging (MRI), computed tomography (CT) or microtomography). Although a wide range of mesh generation techniques are currently available, these were usually developed to generate models from computer-aided design (CAD), and therefore have difficulties meshing from 3D imaging data.

Mesh generation from 3D imaging data

Meshing from 3D imaging data presents a number of challenges but also unique opportunities for presenting a more realistic and accurate geometrical description of the computational domain. There are generally two ways of meshing from 3D imaging data:

CAD-based approach

The majority of approaches used to date still follow the traditional CAD route by using an intermediary step of surface reconstruction which is then followed by a traditional CAD-based meshing algorithm.^[1] CAD-based approaches use the scan data to define the surface of the domain and then create elements within this defined boundary. Although reasonably robust algorithms are now available, these techniques are often time consuming, and virtually intractable for the complex topologies typical of image data. They also do not easily allow for more than one domain to be meshed, as multiple surfaces are often non-conforming with gaps or overlaps at interfaces where one or more structures meet.^[2]

Image-based approach

This approach is the more direct way as it combines the geometric detection and mesh creation stages in one process which offers a more robust and accurate result than meshing from surface data. Voxel conversion technique providing meshes with brick elements ^[3] and with tetrahedral elements ^[4] have been proposed. Another approach generates 3D tetrahedral or tetrahedral elements throughout the volume of the domain, thus creating the mesh directly with conforming multipart surfaces. ^[5]

Generating a model

The steps involved in the generation of models based on 3D imaging data are:

Scan and image processing

An extensive range of image processing tools can be used to generate highly accurate models based on data from 3D imaging modalities, e.g. MRI, CT, MicroCT (XMT), and Ultrasound. Features of particular interest include:

Segmentation tools (e.g. thresholding, floodfill, level set methods, etc.)
Filters and smoothing tools (e.g. volume- and topology-preserving smoothing and noise reduction/artefact removing).

Volume and surface mesh generation

The image-based meshing technique allows the straightforward generation of meshes out of segmented 3D data. Features of particular interest include:

Multi-part meshing (mesh any number of structures simultaneously)
Mapping functions to apply material properties based on signal strength (e.g. Young's modulus to Hounsfield scale)
Smoothing of meshes (e.g. topological preservation of data to ensure preservation of connectivity, and volume neutral smoothing to prevent shrinkage of convex hulls)
Export to FEA and CFD codes for analysis (e.g. node sets, shell elements, material properties, contact surfaces, boundary layers, inlets/outlets)

Typical use

Biomechanics and design of medical and dental implants
Food science
Forensic science
Materials science (composites and foams)
Nondestructive testing (NDT)
Paleontology and functional morphology
Reverse engineering
Soil science
Petrophysics

References

^ Viceconti et al, 1998. TRI2SOLID: an application of reverse engineering methods to the creation of CAD models of bone segments. Computer Methods and Programs in Biomedicine, 56, 211–220.
^ Young et al, 2008. An efficient approach to converting 3D image data into highly accurate computational models. Philosophical Transactions of the Royal Society A, 366, 3155–3173.
^ Fyhrie et al, 1993. The probability distribution of trabecular level strains for vertebral cancellous bone. Transactions of the 39th Annual Meeting of the Orthopaedic Research Society, San Francisco.
^ Frey et al, 1994. Fully automatic mesh generation for 3-D domains based upon voxel sets. International Journal of Methods in Engineering, 37, 2735–2753.
^ Young et al, 2008. An efficient approach to converting 3D image data into highly accurate computational models. Philosophical Transactions of the Royal Society A, 366, 3155–3173.

External links

Computing-Objects commercial C++ libraries for mesh generation & FEM computation
ScanIP commercial image-based meshing software: www.simpleware.com
Mimics 3D image-based engineering software for FEA and CFD on anatomical data: Mimics website Archived 2011-02-12 at the Wayback Machine
Google group on image-based modelling: [1]
Avizo Software's 3D image-based meshing tools for CFD and FEA
iso2mesh: a free 3D surface and volumetric mesh generator for matlab/octave [2]
OOF3D, object oriented finite element analysis from the NIST
VGSTUDIO MAX, Commercial CT analysis software for industry. They offer an add-on module for FEM meshing.

[1] Viceconti et al, 1998. TRI2SOLID: an application of reverse engineering methods to the creation of CAD models of bone segments. Computer Methods and Programs in Biomedicine, 56, 211–220.

[2] Young et al, 2008. An efficient approach to converting 3D image data into highly accurate computational models. Philosophical Transactions of the Royal Society A, 366, 3155–3173.

[3] Fyhrie et al, 1993. The probability distribution of trabecular level strains for vertebral cancellous bone. Transactions of the 39th Annual Meeting of the Orthopaedic Research Society, San Francisco.

[4] Frey et al, 1994. Fully automatic mesh generation for 3-D domains based upon voxel sets. International Journal of Methods in Engineering, 37, 2735–2753.

[5] Young et al, 2008. An efficient approach to converting 3D image data into highly accurate computational models. Philosophical Transactions of the Royal Society A, 366, 3155–3173.

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