Quadcubic interpolation: a four-dimensional spline method
Numerical Analysis
2019-04-23 v1
Abstract
We present a local interpolation method in four dimensions utilising cubic splines. An extension of the three-dimensional tricubic method, the interpolated function has C continuity and its partial derivatives are analytically accessible. The specific example of application of this work to a time-varying three-dimensional magnetic field is given, but this method would work equally well for a time-independent four-dimensional field. Implementations of both of these methods in the Python programming language are also available to download.
Cite
@article{arxiv.1904.09869,
title = {Quadcubic interpolation: a four-dimensional spline method},
author = {Paul A. Walker},
journal= {arXiv preprint arXiv:1904.09869},
year = {2019}
}