Viewpoint assessment
The quality of the viewpoint can be assessed by looking at the
epipolar lines. The epipolar lines of five given points randomly chosen in the
images are drawn using the 3D/2D algorithm and the mixing
algorithm. The reader can note that the epipolar lines computed from the
mixing algorithm pass very close to the corresponding points.
(a) Five points and their epipolar lines computed with (b) the 3D/2D algorithm (c) the mixing algorithm.
The next figure exhibits the viewpoint evolution (Euler angles and
translation) for the 3D/2D algorithm and the mixing method. In the
considered sequence, the camera is passing on the opposite side of the
opera. The motion of the camera is then a translation along the
x-axis. These graphics prove the efficiency of the mixing method: the
ty and tz coordinates are nearly constant whereas the tx, alpha, beta
and gamma parameters evolve slowly.
alpha
|
tx
|
beta
|
ty
|
gamma
|
tz
|
Evolution of the motion parameters for the 3D/2D (solid lines) and the
mixing (dotted lines) methods. The Euler angles are expressed in
radians and the translation is expressed in meters.
Gilles Simon
Last modified: Wed Apr 21 19:07:04 MET DST 1999
