| ... | ... | @@ -20,7 +20,7 @@ Medical Abbreviations |
|
|
|
---------------------
|
|
|
|
|
|
|
|
|
|
|
|
| | |
|
|
|
|
| Abbreviation | Description |
|
|
|
|
|----------|-----------------------------------------------|
|
|
|
|
| LCS, CSF | Liquor cerebrospinalis or Cerebrospinal fluid |
|
|
|
|
| WM | White Matter |
|
| ... | ... | @@ -51,9 +51,8 @@ $` \underline{D}=\left(\begin{matrix}D_{xx} & D_{xy} & D_{xz}\\D_{yx} & D_{yy} & |
|
|
|
|
|
|
|
based on this matrix there are multiple [diffusion indices](DiffusionIndices) defined. They may or may not exist also for higher order tensors (FA versus GFA). A *symmetric tensor* of order $`k`$ and dimension $`d`$ has $`{d+k-1}\choose{k}`$ different independent components. The following lists some numbers for $`d=3`$:
|
|
|
|
|
|
|
|
| | | | | |
|
|
|
|
|-------|---------------|---------------------------|--------------------|------------------------|
|
|
|
|
| order | \# components | \# independent components | \# SH coefficients | \# even SH coefficents |
|
|
|
|
|-------|---------------|---------------------------|--------------------|------------------------|
|
|
|
|
| 0 | 1 | 1 | 1 | 1 |
|
|
|
|
| 1 | 3 | 3 | 4 | 3 |
|
|
|
|
| 2 | 9 | 6 | 9 | 6 |
|
| ... | ... | |
