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Voxel meshing presents an easy way of meshing textile composites of arbitrary complexity. However, the voxel discretisation of curved surfaces creates artificial stress concentrations which can affect results of finite element analysis. In addition, since a voxel mesh has a uniform size of elements, it might require a large number of elements to achieve a good resolution to capture yarns etc. 

Octree mesh refinement allows the creation of meshes with voxels of variable size. This is achieved by selective refinement of voxels which are close to yarns surfaces. These voxels are split into 8 smaller voxels which can be also be split in smaller voxels until a desired element size is achieved. This allows creation of an octree-refined voxel mesh which can give more precise results than a regular voxel mesh with the same number of elements. 

In addition to the octree refinement, a smoothing algorithm can be applied to the generated octree-refined mesh. The smoothing algorithm moves the nodes on the yarns surface in order to generate a smoother surface which would not create stress concentrations. Details of the algorithm and description of its parameters can be found [https://diglib.eg.org/handle/10.2312/egst20001029 here] 

Details of the method will be published soon.

==Python Functions for Octree Refinement and Smoothing==
The octree refinement and smoothing can be called via the Python console in TexGen (or from a script). Once a textile is created then the following sequence of commands should be used:

 t=GetTextile()
 oc=COctreeVoxelMesh()
 # Generate an octree mesh (see details about the arguments below)
 oc.SaveVoxelMesh(t, "my_octree_mesh", 3, 5, False, 50, 0.3, 0.3, False, False)
 # Delete the object to free memory
 del oc

The function <code>SaveVoxelMesh</code> in the <code>COctreeVoxelMesh</code> class takes 10 arguments:

 SaveVoxelMesh(Textile, Filename, Min Refinement, Max Refinement, Smoothing, Smoothing Iterations, Smoothing Parameter 1, 
               Smoothing Parameter 2, Create surfaces, Create cohesive contact)

The arguments are:
*	Textile – textile geometry to mesh
*	Filename – filename for the resulting mesh (TexGen will create inp, ori and eld files)
*	Min Refinement – minimum level of refinement. All elements will be refined at least to this level. Each level of refinement reduces the size of element by the factor of 2. This means that the maximum element size in a mesh with minimum level of refinement M will be L/2M, where L is the size of textile
*	Max Refinement – maximum level of refinement. Only elements on the interface between two materials or close to it will be refined to this level of refinement.
*	Smoothing – enabling the smoothing algorithm. The smoothing algorithm will move the yarn surface nodes according to the [http://www.cs.jhu.edu/~misha/Fall07/Papers/Taubin00.pdf Laplacian smoothing algorithm] 
**False - no smoothing
**True - smoothing enabled

*	Smoothing iterations – number of smoothing iterations
*	Smoothing Parameter 1 – [https://diglib.eg.org/handle/10.2312/egst20001029 smoothing coefficient 1] 
*	Smoothing Parameter 2 – [https://diglib.eg.org/handle/10.2312/egst20001029 smoothing coefficient 2]
*	Create surfaces  - generate sets of nodes for surfaces between yarns and matrix 
**False - no surface sets will be generated
**True - surfaces will be generated
*	Create cohesive contact – define cohesive contact between yarns and matrix 
**False - no contact generated
**True - nodes on the surfaces between yarns and matrix will be duplicated to "decouple" the yarns and matrix, cohesive contacts will be created

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