@Article{CMR-28-2,
author = {Yingxiang, Xu and Lü-Tai, Guan and Xu, Weizhi},
title = {Trivariate Polynomial Natural Spline for 3D Scattered Data Hermit Interpolation},
journal = {Communications in Mathematical Research },
year = {2012},
volume = {28},
number = {2},
pages = {159--172},
abstract = {<p style="text-align: justify;">Consider a kind of Hermit interpolation for scattered data of 3D by
trivariate polynomial natural spline, such that the objective energy functional (with
natural boundary conditions) is minimal. By the spline function methods in Hilbert
space and variational theory of splines, the characters of the interpolation solution and
how to construct it are studied. One can easily find that the interpolation solution is
a trivariate polynomial natural spline. Its expression is simple and the coefficients can
be decided by a linear system. Some numerical examples are presented to demonstrate
our methods.</p>},
issn = {2707-8523},
doi = {https://doi.org/2012-CMR-19059},
url = {https://global-sci.com/article/81830/trivariate-polynomial-natural-spline-for-3d-scattered-data-hermit-interpolation}
}