This function generates multi-resolution thin-plate spline basis functions. The basis functions are (descendingly) ordered in terms of their degrees of smoothness with a higher-order function corresponding to larger-scale features and a lower-order one corresponding to smaller-scale details. They are useful in the spatio-temporal random effects model.
m by d matrix (d<=3) for m locations of d-dimensional knots as in ordinary splines. Missing values are not allowed.
the number (<=m) of basis functions.
n by d matrix of coordinates corresponding to n locations where the values of basis functions to be evaluated.
mrts object is generated. If
x=NULL (default) it returns
an m by k matrix of k basis function taken values at knots.
x given, it returns n by k matrix for basis functions taken values at
ShengLi Tzeng and Hsin-Cheng Huang.
Tzeng, S., & Huang, H. C. (2018). Resolution Adaptive Fixed Rank Kriging. Technometrics, https://doi.org/10.1080/00401706.2017.1345701.
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