The system is highly sensitive to errors due to miscalibration. Three measurements are made every time a pair altitude/GP is obtained:
We calibrated our camera/lens apparatus using a calibration method proposed by Robert [10]. The method requires a series of measurements of a target object. The dimensions of the target object must be precisely known. The user starts the calibration process by indicating correspondences in the calibration image and the real target object. The method generates the perspective projection matrix [4], which contains all the relevant information about the imaging system.
Since we work with huge zoom lenses, our images are essentially
ruled by orthographic projection. In fact, our perspective projection
matrix is (up to a constant factor):
Numeric determination of intrinsic parameters using a perspective model
is highly unstable due to ill-conditioning of this matrix. Instead we
set the first three elements of the last column to zero; by so doing
we obtained an orthographic projection matrix. Obtaining the image center and
the magnification factor is immediate. In our case (units in pixels):