Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Variational Formulation of the Log-Aesthetic Surface and Development of
  Discrete Surface Filters   The log-aesthetic curves include the logarithmic (equiangular) spiral,
clothoid, and involute curves. Although most of them are expressed only by an
integral form of the tangent vector, it is possible to interactively generate
and deform them and they are expected to be utilized for practical use of
industrial and graphical design. The discrete log-aesthetic filter based on the
formulation of the log-aesthetic curve has successfully been introduced not to
impose strong constraints on the designer's activity, to let him/her design
freely and to embed the properties of the log-aesthetic curves for complicated
ones with both increasing and decreasing curvature. In this paper, in order to
define the log-aesthetic surface and develop surface filters based on its
formulation, at first we reformulate the log-aesthetic curve with variational
principle. Then we propose several new functionals to be minimized for
free-form surfaces and define the log-aesthetic surface. Furthermore we propose
new discrete surface filters based on the log-aesthetic surface formulation

0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex