2 research outputs found
Recovering Epipolar Geometry from Images of Smooth Surfaces
We present four methods for recovering the epipolar geometry from images of
smooth surfaces. In the existing methods for recovering epipolar geometry
corresponding feature points are used that cannot be found in such images. The
first method is based on finding corresponding characteristic points created by
illumination (ICPM - illumination characteristic points' method (PM)). The
second method is based on correspondent tangency points created by tangents
from epipoles to outline of smooth bodies (OTPM - outline tangent PM). These
two methods are exact and give correct results for real images, because
positions of the corresponding illumination characteristic points and
corresponding outline are known with small errors. But the second method is
limited either to special type of scenes or to restricted camera motion. We
also consider two more methods which are termed CCPM (curve characteristic PM)
and CTPM (curve tangent PM), for searching epipolar geometry for images of
smooth bodies based on a set of level curves with constant illumination
intensity. The CCPM method is based on searching correspondent points on
isophoto curves with the help of correlation of curvatures between these lines.
The CTPM method is based on property of the tangential to isophoto curve
epipolar line to map into the tangential to correspondent isophoto curves
epipolar line. The standard method (SM) based on knowledge of pairs of the
almost exact correspondent points. The methods have been implemented and tested
by SM on pairs of real images. Unfortunately, the last two methods give us only
a finite subset of solutions including "good" solution. Exception is "epipoles
in infinity". The main reason is inaccuracy of assumption of constant
brightness for smooth bodies. But outline and illumination characteristic
points are not influenced by this inaccuracy. So, the first pair of methods
gives exact results.Comment: accepted to "Pattern Recognition and Image Analysis" for publishing
in 2013, 33 pages, 19 figure
Visual navigation for airborne control of ground robots from tethered platform: creation of the first prototype
We propose control systems for the coordination of the ground robots. We
develop robot efficient coordination using the devices located on towers or a
tethered aerial apparatus tracing the robots on controlled area and supervising
their environment including natural and artificial markings. The simple
prototype of such a system was created in the Laboratory of Applied Mathematics
of Ariel University (under the supervision of Prof. Domoshnitsky Alexander) in
collaboration with company TRANSIST VIDEO LLC (Skolkovo, Moscow). We plan to
create much more complicated prototype using Kamin grant (Israel)Comment: 11 pages, 7 figure