Table 3.

The effect of rotation, elongation, and scale on the 8th order SH representation of the diffusion signal.

C20 $\mathit{r}$	Re (C21) $\mathit{r}\mathit{s}$	Im (C21) $\mathit{r}\mathit{s}\mathit{e}$
	Re (C22)	Im (C22)
C40 $\mathit{r}$	Re (C41) $\mathit{r}\mathit{s}$	Im (C41) $\mathit{r}\mathit{s}\mathit{e}$
	Re (C42)	Im (C42)
	Re (C43) $\mathit{r}\mathit{s}$	Im (C43) $\mathit{r}\mathit{s}\mathit{e}$
	Re (C44)	Im (C44)
C60 $\mathit{r}$	Re (C61) $\mathit{r}\mathit{s}$	Im (C61) $\mathit{r}\mathit{s}\mathit{e}$
	Re (C62)	Im (C62)
	Re (C63) $\mathit{r}\mathit{s}$	Im (C63) $\mathit{r}\mathit{s}\mathit{e}$
	Re (C64)	Im (C64)
	Re (C65) $\mathit{r}\mathit{s}$	Im (C65) $\mathit{r}\mathit{s}\mathit{e}$
	Re (C66)	Im (C66)
C80 $\mathit{r}$	Re (C81) $\mathit{r}\mathit{s}$	Im (C81) $\mathit{r}\mathit{s}\mathit{e}$
	Re (C82)	Im (C82)
	Re (C83) $\mathit{r}\mathit{s}$	Im (C83) $\mathit{r}\mathit{s}\mathit{e}$
	Re (C84)	Im (C84)
	Re (C85) $\mathit{r}\mathit{s}$	Im (C85) $\mathit{r}\mathit{s}\mathit{e}$
	Re (C86)	Im (C86)
	Re (C87) $\mathit{r}\mathit{s}$	Im (C87) $\mathit{r}\mathit{s}\mathit{e}$
	Re (C88)	Im (C88)

The coefficient invariant to the rotation is remarked by r, to the elongation by e, and to the scale by s.