Validation of a photogrammetric approach for the objective study of early bowed instruments

Heritage Science

Table 3 Optimal distances [mm] for Cuypers’ instrument

Optimised metrics \\\ Displayed metrics	D	\(\sqrt{D^2}\)	\(\sqrt{D^2_{plane}}\)
Point-to-point D	0.215	0.265	0.125
Point-to-point square \(D^2\)	0.217	0.263	0.130
Point-to-plane \(D^2_{plane}\) (ours, with scaling)	0.216	0.270	0.122
Point-to-plane \(D^2_{plane}\) (ICP, external scaling)	0.215	0.267	0.123
Point-to-plane \(D^2_{plane}\) (ICP, no scaling)	0.633	1.164	0.912

Left column: metric with which the optimal parameters were computed. Top row: metric for which we computed distances with the optimised parameters of the left column (point-to-point, point-to-point square and point-to-plane respectively). The bold value in each column indicates the lowest mean distance for each metric