Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fully automatic structure from motion with a spline-based environment
  representation   While the common environment representation in structure from motion is given
by a sparse point cloud, the community has also investigated the use of lines
to better enforce the inherent regularities in man-made surroundings. Following
the potential of this idea, the present paper introduces a more flexible
higher-order extension of points that provides a general model for structural
edges in the environment, no matter if straight or curved. Our model relies on
linked B\'ezier curves, the geometric intuition of which proves great benefits
during parameter initialization and regularization. We present the first fully
automatic pipeline that is able to generate spline-based representations
without any human supervision. Besides a full graphical formulation of the
problem, we introduce both geometric and photometric cues as well as
higher-level concepts such overall curve visibility and viewing angle
restrictions to automatically manage the correspondences in the graph. Results
prove that curve-based structure from motion with splines is able to outperform
state-of-the-art sparse feature-based methods, as well as to model curved edges
in the environment.

27
The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
2
The categories of this paper are: math
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an