Image Processing Reference

In-Depth Information

(3)

The above equations are rearranged using radius
R
as

(4)

3.3 Distortion Coefficient Estimation of the FOV Model

line after being projected onto a 2D surface by a camera if there is no distortion. This means

that the larger the difference between an actual straight-line component and a projected

straight line, the larger the distortion is. Conversely, the less the difference is, the less the dis-

tortion is. The degree of camera distortion can be verified by the distortion coefficient
ω
of the

FOV model. In the FOV model,
q
ωi
is a point of restoration of distorted point
p
i
by the distor-

tion coeicient
ω
. The distortion parameter estimation from Ref. [
9
] expresses a relationship

of
D
- 1
(
ω, p
i
) with regard to the distortion coefficient, which can solve the linear equation of the

least squares distance when the estimation is applied to the algorithms from
p
1
to
p
n
.

By solving the equation of the
i
and
j
functions where the error function
E
ij
(
ω
) is minimized

with regard to the distortion coefficient
ω
, the distortion coefficient
ω
can be estimated. Using

this method, distortion correction can be performed by using the distortion correction coei-

cient with regard to the camera distortion center.

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