Bureaucrats, confirmed, Administrators
4,558
edits
Changes
Jump to navigation
Jump to search
no edit summary
# https://www.mediawiki.org/wiki/Extension:Math/advancedSettings
# https://www.mediawiki.org/wiki/Manual:Math
== SimpleMathJax ==
In QualityBox, we use [https://www.mediawiki.org/wiki/Extension:SimpleMathJax Extension:SimpleMathJax] which does rendering client-side instead of the more complicated server-side [https://www.mediawiki.org/wiki/Extension:Math Math extension].<ref>This SO thread summarizes some of the history of the Math and SimpleMathJax extensions https://stackoverflow.com/questions/29387372/how-to-embed-maths-in-mediawiki</ref>
Both extensions use MathJax, and the server-side option would be more suitable in high volume environments.
Compare:
https://phab.wmfusercontent.org/file/data/xsimlcnvo42siudvwuzk/PHID-FILE-bdcqexocj5b57tj2oezn/math_rendering.png
SimpleMathJax provides MediaWiki with [https://www.mathjax.org/#features MathJax]
Other Example Renderings
== na-mic ==
Example from https://www.na-mic.org/wiki/Projects:GroupwiseRegistration
<blockquote>
For the nonrigid deformation model,
we define a combined transformation consisting of
a global and a local component
:<math>
T(\mathbf{x}) = T_{local}({T_{global}(\mathbf{x})})
</math>
where <math>T_{global}</math> is a twelve parameter affine transform and
<math>T_{local}</math> is a deformation model based on B-splines.
The free form deformation can be written as the 3-D tensor product
of 1-D cubic B-splines.
:<math>
T_{local}(\mathbf{x}) = \mathbf{x} + \sum_{l=0}^3\sum_{m=0}^3\sum_{n=0}^3 B_l(u)B_m(v)B_n(w) \Phi_{i+l,j+m,k+n}
</math>
where <math>B_l</math> is <math>l</math>'th cubic B-spline basis function. <math>(u,v,w)</math> is the distance
to <math>(x,y,z)</math> from the control point <math>\Phi_{i,j,k}</math> as shown in Figure 2.
The deformation of a given point can be found using only the control points in the neighborhood of the given point. Therefore,
optimization of the objective function can be implemented efficiently.
</blockquote>
== slicer.org ==
example from https://www.slicer.org/wiki/Coordinate_systems
<blockquote>
However different medical applications use different definitions of this 3D basis. Most common are the following bases:
* LPS (Left, Posterior, Superior) is used in DICOM images and by the ITK toolkit
<div style="text-align: center;">
<math> LPS = \begin{Bmatrix}
\text{from right towards left} \\
\text{from anterior towards posterior} \\
\text{from inferior towards superior}
\end{Bmatrix}
</math>
</div>
* RAS (Right, Anterior, Superior) is similar to LPS with the first two axes flipped and used by 3D Slicer
<div style="text-align: center;">
<math> RAS = \begin{Bmatrix}
\text{from left towards right} \\
\text{from posterior towards anterior} \\
\text{from inferior towards superior}
\end{Bmatrix}
</math>
</div>
Both bases are equally useful and logical. It is just necessary to know to which basis an image is referenced.
</blockquote>
== References ==
<references />
[[Category:Features]]
[[Category:Wiki]]
