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Table 4 Comparison of reference target measurements, sample no. 513E by Rubert & Co [41], as depicted in Fig. 6

From: Comparison of three 3D scanning techniques for paintings, as applied to Vermeer’s ‘Girl with a Pearl Earring’

Groove Exp. depth NPS MS-OCT Std-Res 3D scan
\(\Delta\) (\(\upmu \hbox {m}\)) N \(\sigma\) (\(\upmu \hbox {m}\)) \(\Delta\) (\(\upmu \hbox {m}\)) Err. (\(\upmu \hbox {m}\)) N \(\sigma\) (\(\upmu \hbox {m}\)) \(\Delta\) (\(\upmu \hbox {m}\)) Err. (\(\upmu \hbox {m}\)) N \(\sigma\) (\(\upmu \hbox {m}\))
1 (t) 1000 1220 0.22 984 N/A 250 7.4 982 \(-\)2 22.5k 15.0
1 (b) 20 0.05 250 6.2 150 9.2
2 (t) 500 1050 0.42 496 N/A 400 5.8 490 \(-\)6 10.5k 10.2
2 (b) 10 0.12 300 1.6 2400 17.7
3 (t) 200 910 0.21 195 N/A 990 4.5 194 \(-\)1 12k 10.3
3 (b) 200 0.08 550 1.4 7500 9.3
4 (t) 30 1100 0.21 29 N/A 600 3.0 29 0 4500 10.8
4 (b) 10 0.05 400 4.1 750 10.4
Groove Exp. depth Std-Res 3D scan High-Res 3D scan 3D digital microscopy
\(\Delta\) (\(\upmu \hbox {m}\)) \(\Delta\) (\(\upmu \hbox {m}\)) Err. (\(\upmu \hbox {m}\)) N \(\sigma\) (\(\upmu \hbox {m}\)) \(\Delta\) (\(\upmu \hbox {m}\)) Err. (\(\upmu \hbox {m}\)) N \(\sigma\) (\(\upmu \hbox {m}\)) \(\Delta\) (\(\upmu \hbox {m}\)) Err. (\(\upmu \hbox {m}\))
1 (t) 1000 972 − 12 7000 12.9 987 3 340k 3.5 987 3
1 (b) 2250 8.6 240k 3.1
2 (t) 500 520 24 7750 12.2 496 0 348k 2.5 496 0
2 (b) 1000 7.2 228k 3.8
3 (t) 200 206 11 2250 8.6 206 11 560k 3.2 194 − 1
3 (b) 7000 8.3 456k 3.4
4 (t) 30 37 8 6250 10.1 35 6 125k 6.3 31 2
4 (b) 1050 10.3 155k 5.2
  1. The Nano Point Scanner (NPS) measurements are taken as the gold standard. The grooves are labeled from the deepest (1) to most shallow (4) groove, where (t) denotes the measurement at the sample’s top surface and (b) the measurement at bottom of the groove. For every measurement region, N denotes the number of measurements, \(\sigma\) the standard deviation of those measurements, \(\Delta\) the height difference between the top and bottom (mean difference), and Err. the error with respect to the NPS measurement. Except N all the results are specified in \(\upmu \hbox {m}\). The errors (relative to the NPS measurements) are plotted is Fig. 7