Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Interpolation of scattered data in $\mathbb{R}^3$ using minimum
  $L_p$-norm networks, $1<p<\infty$   We consider the extremal problem of interpolation of scattered data in
$\mathbb{R}^3$ by smooth curve networks with minimal $L_p$-norm of the second
derivative for $1<p<\infty$. The problem for $p=2$ was set and solved by
Nielson (1983). Andersson et al. (1995) gave a new proof of Nielson's result by
using a different approach. Partial results for the problem for $1<p<\infty$
were announced without proof in (Vlachkova (1992)). Here we present a complete
characterization of the solution for $1<p<\infty$. Numerical experiments are
visualized and presented to illustrate and support our results.

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The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
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The categories of this paper are: mtrl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph