Correction to: Scientific Reports https://doi.org/10.1038/s41598-025-87077-6, published online 22 January 2025

The original version of this Article contained an error in Equation 10 in the Materials and methods section, under the subheading ‘Two-dimensional positioning’.

$$\begin{array}{c}{O}^{{^{\prime}}{^{\prime}}}N=f\cdot \mathit{tan}\alpha \#\end{array}$$

now reads:

$$\begin{array}{c}{O}^{{^{\prime}}{^{\prime}}}N=f\cdot \mathit{tan}\alpha\end{array}$$

The original Article has been corrected.