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Exact(4)
Only a few methods such as [2, 13, 15, 16] follow the approach that starts from an initial mesh and then adapt the mesh to represent the image.
It is not possible for the coarser mesh to represent the target sources exactly.
With the advancement of computer graphics, the ray-tracing approach [ 2, 3], which uses triangle mesh to represent a boundary, was introduced to the Monte Carlo simulation field [ 4].
It may be possible with a very detailed mesh to represent all regions sufficiently, yet a larger number of subvolumes means a slower simulation and may result in loss of accuracy caused by the small subvolume size.
Similar(56)
Both ALOHA and GRILL3D formulate the problem in terms of rectangular waveguides modes, while TOPLHA is based on boundary-value problem with the adoption of a triangular cell-mesh to represent the relevant waveguides surfaces.
Contours can be easily sketched on a mannequin to generate quad meshes to represent pieces of cloth already fitted and draped.
Another approach is to use a mesh directly to represent the image.
Another approach is to generate and adapt the mesh directly to represent the image.
All meshes appeared to represent the spine head volume quite accurately, yet the cubic meshes often failed to represent the neck volume sufficiently, and only a marginal improvement was noticeable in the more detailed meshes.
In terms of surface area in all cases the cubic meshes failed to represent the boundaries accurately, in fact slightly worsening in the more detailed meshes.
The equations are discretised using Non-Uniform Rational B-Splines (NURBS), which allows the coarsest mesh to exactly represent the geometry for a wide range of engineering problems of interest; this would not be the case using straight-sided finite elements.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com