Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Topology-preserving digitization of n-dimensional objects by
  constructing cubical models   This paper proposes a new cubical space model for the representation of
continuous objects and surfaces in the n-dimensional Euclidean space by
discrete sets of points. The cubical space model concerns the process of
converting a continuous object in its digital counterpart, which is a graph,
enabling us to apply notions and operations used in digital imaging to cubical
spaces. We formulate a definition of a simple n-cube and prove that deleting or
attaching a simple n-cube does not change the homotopy type of a cubical space.
Relying on these results, we design a procedure, which preserves basic
topological properties of an n-dimensional object, for constructing compressed
cubical and digital models.

16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn