Woodhead Publishing Series in Electronic and Optical Materials

Journal: Woodhead Publishing Series in Electronic and Optical Materials

Woodhead Publishing

Publications 1 - 1 of 1

Magnetic field interpolation for remote magnetic navigation in minimally invasive surgery
Charreyron, Samuel; Nelson, Bradley (2022)
Woodhead Publishing Series in Electronic and Optical Materials ~ Magnetic Materials and Technologies for Medical Applications
Interpolation of magnetic field data can be used to model the fields generated by magnetic navigation system (MNS) for applications in medical robotics. Prediction of magnetic fields is required for the control of magnetically navigated tools at arbitrary positions in the workspace of an MNS. In this chapter, various interpolation methods are detailed and compared. The methods are divided into structured grid interpolation ones that perform interpolation on data located on regular grids using polynomial interpolation, and unstructured radial basis function-based ones, for which the data can be placed at arbitrary positions. This chapter also compares methods that are physically consistent ones, in that they attempt to obey physical constraints that are inherent to the magnetic fields, to methods that are unconstrained. Methods are compared based on their ability to predict magnetic field vectors and magnetic field gradient matrices at unmeasured locations using several numerical metrics, on a synthetic dataset representing fields generated by an MNS.

Publications 1 - 1 of 1