Method for calibrating absolute misalignment between linear array image sensor and attitude control sensor
Provided is a method for estimating and calibrating an absolute misalignment between an attitude control sensor of a satellite or a flight vehicle imaging and transmitting ground images having high resolution and an imaging payload.
1. A method for estimating and calibrating an absolute misalignment of a satellite or a flight vehicle imaging ground images at high resolution and transmitting the imaged ground images to a ground, the method comprising:
a ground control point imaging and comparing operation in which a plurality of ground control points of which accurate position information is known are each imaged using an image payload using a linear array sensor and position information of the ground control points in a plurality of imaged images and position information of the ground control points which are already known are then compared with each other;
an absolute misalignment estimation value calculating operation of estimating an absolute misalignment value between an attitude control sensor and the image payload by applying a method for estimating the absolute misalignment using an image obtained by a plane image sensor to information obtained by performing the ground control point imaging and comparing operation;
a calibrating operation of calibrating the absolute misalignment by applying the calculated absolute misalignment estimation value to attitude control sensors; and
wherein the information obtained by the ground control point imaging and comparing operation is transformed to have a form of the following Equation 6 by dividing and re-disposing the information into a time-varying term and a time-invariant term
M Body PL {circumflex over (V)} i =Ŵ i [Equation 6]
V
^
i
=
M
ECI
Body
M
ECEF
ECI
[
X
i
-
X
i
S
Y
i
-
Y
i
S
Z
i
-
Z
i
S
]
ECEF
wherein
W
^
i
=
[
0
Y
i
f
]
Image
and it is assumed that all vectors are normalized.
2. The method of claim 1 , wherein a method for calculating an attitude of the plane image sensor using an image of a target obtained by the plane image sensor is any one of a DAVENPORT algorithm and a QUEST algorithm among methods for minimizing an objective function defined as the following Equation 2
J
(
A
)
=
1
2
∑
i
=
1
N
W
^
i
-
A
V
^
i
2
[
Equation
2
]
wherein J(A) is an objective function, A is a coordinate transformation matrix of the plane image sensor, N is the number of targets in the imaged image, and Ŵ i is a position vector of the imaged image, and {circumflex over (V)} i is a direction vector in an inertia coordinate system of the target.
3. The method of claim 1 , wherein the absolute misalignment estimation value M Body PL is calculated by the Equation 6 and new attitudes of the attitude control sensors are calculated by the following Equation 10
M Body S (new)= M Body S (old)( M Body PL ) T [Equation 10]
wherein a superscript S shows the attitude control sensor.