Table 5: Means and standard deviations for the initial points, for the complete sphere and the discrete sample points after the smoothing process (in mas).
$\mu _{0}$ $\mu _{S^{2}}$ $\mu _{S^{2}}$ (1327 stars) $\sigma _{0}$ $\sigma _{S^{2}}$ $\sigma _{S^{2}}$ (1327 stars)

$\Delta \alpha \cos \delta$ 11.4 10.0 12.7 83.46 47.98 45.12

$\Delta \delta$ -46.0 -48.5 -43.6 89.15 51.84 48.30

**Table 5:** Means and standard deviations for the initial points, for the complete sphere and the discrete sample points after the smoothing process (in mas).
	$\mu _{0}$	$\mu _{S^{2}}$	$\mu _{S^{2}}$ (1327 stars)	$\sigma _{0}$	$\sigma _{S^{2}}$	$\sigma _{S^{2}}$ (1327 stars)
$\Delta \alpha \cos \delta$	11.4	10.0	12.7	83.46	47.98	45.12
$\Delta \delta$	-46.0	-48.5	-43.6	89.15	51.84	48.30

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