Given $n$ nodes $q_1, q_2, \ldots, q_n$ in $\mathbb{R}^2$ and corresponding values $f_1, f_2, \ldots, f_n$, Shepard interpolation constructs a function $s:\mathbb{R}^2 \rightarrow \mathbb{R}$ that interpolates the values at the nodes, i.e., $s(q_i) = f_i$ for
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