Table 1.

The NMI and RI of the results of our two-reach method. “/” means this value does not exist.

	Rescale				Rotation
	0.5		2		$\pi /4$		$\pi /2$		Original		Average
Dot patterns	NMI	RI	NMI	RI	NMI	RI	NMI	RI	NMI	RI	NMI	RI
(a)	1.000	1.000	1.000	1.000	0.875	0.903	0.875	0.903	1.000	1.000	0.950	0.961
(b)	/	1.000	/	0.933	/	0.948	/	1.000	/	0.957	/	0.968
(c)	1.000	1.000	1.000	1.000	1.000	1.000	1.000	1.000	1.000	1.000	1.000	1.000
(g)	0.982	1.000	0.953	0.994	0.959	0.994	0.959	0.994	0.982	1.000	0.967	0.996
(h)	/	0.760	/	0.770	/	0.850	/	0.713	/	0.714	/	0.761
Average	0.994	0.952	0.984	0.939	0.945	0.939	0.945	0.922	0.994	0.934	0.972	0.937