Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Efficiency of Strategies for Subdividing Polynomial Triangular
  Surface Patches   In this paper, we investigate the efficiency of various strategies for
subdividing polynomial triangular surface patches. We give a simple algorithm
performing a regular subdivision in four calls to the standard de Casteljau
algorithm (in its subdivision version). A naive version uses twelve calls. We
also show that any method for obtaining a regular subdivision using the
standard de Casteljau algorithm requires at least 4 calls. Thus, our method is
optimal. We give another subdivision algorithm using only three calls to the de
Casteljau algorithm. Instead of being regular, the subdivision pattern is
diamond-like. Finally, we present a ``spider-like'' subdivision scheme
producing six subtriangles in four calls to the de Casteljau algorithm.

14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
18
The categories of this paper are: econ
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga