Error Analysis of Isosceles Triangular Interpolation

The interpolation accuracy of isosceles triangular interpolation for the linear and quadratic interpolations are analyzed. The isosceles triangular grids are generated by shifting every other row of pre-calculation points by
$h/2$
, where
$h$
is sampling interval. Compared with the two-dimensional Lagrange interpolation, the isosceles triangular interpolation has higher interpolation accuracy and does not need additional precalculation points.