Algorithm 1 Embedded region partitioning algorithm
Input:$\mathrm{Original} \mathrm{one}-\mathrm{dimensional} \mathrm{sequence} P_{ROI}$. Output:$\mathrm{Embeddable} \mathrm{matrices} P_{ROIe}$$\mathrm{and} \mathrm{non}-\mathrm{embeddable} \mathrm{sequences} P_{ROIn}$.
1:	$m,n\leftarrow size\left(P_{ROI}\right)$;
2:	$long\leftarrow m\times n$;
3:	$squarelong\leftarrow floor\left(sqrt\right(long\left)\right)$;
4:	$length\leftarrow squarelong\times squarelong$;
5:	$P_{ROIe}\leftarrow P_{ROI}(1:length)$;
6:	$P_{ROIe}\leftarrow reshape(P_{ROIe},squarelong,squarelong)$;
7:	$P_{ROIn}\leftarrow P_{ROI}(length+1:end)$.