Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Conformal Geometry, Euclidean Space and Geometric Algebra   Projective geometry provides the preferred framework for most implementations
of Euclidean space in graphics applications. Translations and rotations are
both linear transformations in projective geometry, which helps when it comes
to programming complicated geometrical operations. But there is a fundamental
weakness in this approach - the Euclidean distance between points is not
handled in a straightforward manner. Here we discuss a solution to this
problem, based on conformal geometry. The language of geometric algebra is best
suited to exploiting this geometry, as it handles the interior and exterior
products in a single, unified framework. A number of applications are
discussed, including a compact formula for reflecting a line off a general
spherical surface.

21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an