3.2 Character Points Matching
Making use of the grey information round the acute point and
the correlation method to build a local matching rule so as to
divide the results detected by Harris operator into many-to-
many matching pairs. The correlation coefficient is adopted to
describe the measurement of similar degree of point P on
image A and point ^ on image B. The correlation coefficient is
defined as [2]:
Correip, = Yj-Au+Î,V+j)- /4 ]■ [B(u+i,v+j)-^\ (3 )
C>]C>2 j=-ni=-n
o
( P" 1 ) and 1 ( 0,2 ) express the mean and the square
difference of point p (q) on image A (B) separately. The n is
the neighbouring range of the acute point.
Figure 4, The matching results of the characters on stereo image
pairs
An initial set of 'corresponding points is gained through
character points matching, but if only grey character is relied as
the correlation measurement there will exist some error
matching points(refer to Figure 4, the matching results are not
exactly corresponding), so that eliminating coarse error should
be evolved.
3.3 Epipolar Detection
The corresponding points on the stereo image pairs should
satisfy the coplanar condition according to the geometry
relation of the imaging [3].
B B
x j
7\
J 2 7:
defining:
z t x 2 - x x z 2
Is, aJ
\X t Z,]
i k -k m
— Y. -
\x 2 Z z j
z,x 2 - x\z
i-0, B
W-1 z.
z,x 2 -x x z 2
= -N t i\ + NX 2
= -0
Q is the model fluctuation parallax of the orientation points.
When a stereo image pair have been done relative orientation,
the value of the Q is 0, otherwise, Q^O. That is to say the
corresponding points must fall on the corresponding epipolar
lines. This rule is used to eliminate the wrong matching point
pairs in the initial corresponding points set.
The basic principle of the least squares image matching can be
described as following [2]: the grey and geometry aberration
parameter are imported when doing image matching, and these
parameters are calculated through least squares image matching
principle to improve the precision of image matching.
The simple aberrance is considered in practice because the size
of the matching windows is often small.
x 2 = a 0 + a t x+a 2 y
y 2 = b 0 + b t x + b 2 y
If the linear grey aberrance of the right image relative to the
left one are taken into account, then the following formula can
be acquired:
g, O, y) + «, (x, y) = h 0 + h x g 2 (a 0 + a,x + a 2 y, b 0 + + b 2 y) + n 2 (x, y)
(7)
The error formula of least squares image matching can be
acquired by establishing error formula and do linearization to
the formula.
v = c x d\ + c 2 d\ + c 2 da 0 + c 4 da x + c^dc^ + c 6 db 0 + c n db\ + c 8 i/6, - Ag
(8)
Establishing error formula pixel by pixel in the object area and
solving the grey and geometry aberrance by normalizing. Then
geometry and grey transformation is applied to right window
to get new image, calculating iteratively the correlation
coefficients of the left and the right window, the object place
is obtained when the value of correlation coefficients do not
rise and the loop course to be stopped. During the loop course,
the threshold is set as a condition to eliminate coarse error and
eliminate the unreliable matching points.