The Multinode Shepard Method: MATLAB Implementation

The multinode Shepard method is an extension of inverse distance weighting, developed as a generalization of the triangular Shepard method to further improve interpolation accuracy in situations where the classic Shepard method results are limited. In particular, it considers multiple nodes for local interpolation, offering greater flexibility and improved accuracy in estimates. In this paper, we present two algorithms for computing the multinode Shepard interpolant, providing the related pseudocodes and MATLAB implementations.