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Master Scrolls · Historical models

Violin head model

Antonio Stradivari Cremona · 1685

The ‘Polonia’ violin was made in 1685, in the Amatisé period preceding Antonio Stradivari’s mature work. It is currently the only violin attributed to Stradivari permanently held in Poland. The scroll model was developed from industrial computed tomography data acquired within the Polonia project.

Digital model and agreement analysis

Digital model of the scroll of Antonio Stradivari’s ‘Polonia’ violin (1685) from computed tomography

Deviation [mm]

no measurement

The slider overlays the deviation map on the model: 0 % — neutral model, 100 % — full map.

Left button: rotate · right: pan · wheel: zoom

Geometric agreement analysis

Comparing the surface of the physical model with the source geometry makes it possible to determine the size and distribution of the deviations arising in the making of the model.

Mean deviation
+0.035 mm
Median deviation
+0.038 mm
Surface within ±0.01 mm
9.6 %
Surface within ±0.05 mm
48.1 %
Surface within ±0.10 mm
81.2 %
Surface within ±0.20 mm
95.6 %
Surface with measurement
95.7 %
Distribution of deviations
Distribution of deviations−0.200 … −0.175 mm: 0.4 %−0.175 … −0.150 mm: 0.4 %−0.150 … −0.125 mm: 0.8 %−0.125 … −0.100 mm: 1.7 %−0.100 … −0.075 mm: 2.5 %−0.075 … −0.050 mm: 3.5 %−0.050 … −0.025 mm: 6.0 %−0.025 … +0.000 mm: 9.6 %+0.000 … +0.025 mm: 14.6 %+0.025 … +0.050 mm: 17.8 %+0.050 … +0.075 mm: 16.6 %+0.075 … +0.100 mm: 10.5 %+0.100 … +0.125 mm: 5.5 %+0.125 … +0.150 mm: 2.8 %+0.150 … +0.175 mm: 1.6 %+0.175 … +0.200 mm: 1.2 %

deviation [mm]

Outside the ±0.20 mm range of the chart: 4.43 % of the analysed surface.

Distribution of deviations — data

From [mm]To [mm]Share
−0.200−0.1750.40 %
−0.175−0.1500.44 %
−0.150−0.1250.77 %
−0.125−0.1001.68 %
−0.100−0.0752.53 %
−0.075−0.0503.48 %
−0.050−0.0256.03 %
−0.025+0.0009.58 %
+0.000+0.02514.61 %
+0.025+0.05017.85 %
+0.050+0.07516.64 %
+0.075+0.10010.52 %
+0.100+0.1255.49 %
+0.125+0.1502.82 %
+0.150+0.1751.56 %
+0.175+0.2001.17 %

Reading the deviations

A positive value means the surface of the physical model lies outside the source geometry — a local excess of material. A negative value means a surface below the reference geometry — a local deficit.

The percentages refer only to the surface for which a corresponding point on the source model could be determined unambiguously. Areas without a reliable counterpart are excluded from the calculation.

Method of analysis

The analysis was carried out on two sets of surface data: the source geometry extracted from the tomography of the instrument, and the surface of the physical model obtained during its control scan. The two models were compared in a common coordinate system prepared in VGSTUDIO MAX. For the analysed surface, local distances to the source geometry were determined, and from them the distribution and the share of surface falling within the adopted tolerance ranges.

Sample views of the analysis

Selected visualisations of the geometric comparison, made in VGSTUDIO MAX during the laboratory analysis.

  • Deviation map of the ‘Polonia’ violin head model, ±0.20 mm range — scroll in profile, VGSTUDIO MAX screenshot

    Deviation map · ±0.20 mm range

  • Deviation map of the ‘Polonia’ violin head model, ±0.10 mm range — scroll in an oblique view, VGSTUDIO MAX screenshot

    Deviation map · ±0.10 mm range

  • Deviation map of the ‘Polonia’ violin head model, ±0.10 mm range — scroll from above, VGSTUDIO MAX screenshot

    Deviation map · ±0.10 mm range

Model quote

Model quote

A request for a quote — this is not a binding order. We reply to the address given, with a price, a lead time and the cost of shipping.

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Object
reference model of the scroll
Source
Nikon M2 LES computed tomography data
Made by
3D printing, photopolymer resin, 0.02 mm layer
Colour
beige

ModelAntonio Stradivari ‘Polonia’ (1685)

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Every model is made individually to order.

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