Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geometric Analysis of Observability of Target Object Shape Using
  Location-Unknown Distance Sensors   We geometrically analyze the problem of estimating parameters related to the
shape and size of a two-dimensional target object on the plane by using
randomly distributed distance sensors whose locations are unknown. Based on the
analysis using geometric probability, we discuss the observability of these
parameters: which parameters we can estimate and what conditions are required
to estimate them. For a convex target object, its size and perimeter length are
observable, and other parameters are not observable. For a general polygon
target object, convexity in addition to its size and perimeter length is
observable. Parameters related to a concave vertex can be observable when some
conditions are satisfied. We also propose a method for estimating the convexity
of a target object and the perimeter length of the target object.

33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th