Table 1 The summary of powder-averaging techniques, different vector sets and different experiments conducted in this study.
Estimation method | References | |
|---|---|---|
1- Shell-by-shell estimation | 1- Arithmetic averaging | |
2- Quadratures on the sphere (Lebedev) | ||
3- Representation of signal in spherical harmonic | ||
4- Representation of signal in Cartesian tensors | ||
5- Knutsson | ||
2- Estimation from the entire 3D data | 1- MAP-MRI | |
2- MAP with Laplacian regularization |
Experiments | Sampling scheme | |
|---|---|---|
Effect of noise and number of samples | 488 (61\(\times\)8) samples21 with Gaussian noise | Figure 1a |
Figure 1b | ||
Figure 2a | ||
Figure 2b | ||
Effect of dispersion | Figure 3 | |
Crossing configuration | Figure 4 | |
Random sampling | 344 (43\(\times\)8) samples with Gaussian noise | Figure 5a |
Bias in gradient strength | Figure 5b | |
Statistical analysis | Figure 6 | |
In vivo measurements | 488 (61\(\times\)8) samples21 | Figure 7 |
