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The inner orientation of the digital PELICAN images is
ensured through a radial distorsion model provided by IGN.
Further controls at CNES confirm the fitness of this model
with RMS residuals of 0.2 pixel (ie 10 cm).
Instead of undertaking a costly and uncertain aerotriangulation
on this block of 1000 low angle images, the exterior
orientation parameters for each image have been computed
through the optimization of image matching with the
corresponding original set of APs using the refined digital
elevation model available from the original reference data set.
An average of 3000 points per image were used leading to a
RMS error of 30 cm after 3 iterations. When landscape
evolutions were too important for automatic processing
(typically less than 1000 matching points unevenly
distributed), hand adjustment was done.
For data management convenience, the aerial images were
finally subsampled at a pixel resolution of 1.5 metre,
compatible with the resolutions of SPOTS data.
The evolution of the landscape between 1997 and 2002 did not
justify to compute a specific DTM.
3 -THE METHOD
3.1 Description of the method
The method involved during the in-flight commissioning is
based on the knowledge of the geometry of acquistion of both
the reference data and the SPOTS images . The reference data
is associated with its conical inner and exterior orientations
and an acurate digital elevation model. The SPOTS images are
geometrically described by their physical model except for
the accurate viewing direction angles which are simply
initialized with the values provided by the laboratory
measurements ; estimated RMS accuracy of these
measurements is estimated from about 0.3 pixel for HRG
instruments to up to a few pixels for HRS instruments.
Finally the spatial resolutions of the SPOTS instruments are
described through their MTF models. Following is a
representation of SPOTS HRGs point spread function .
International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, Vol XXXV, Part Bl. Istanbul 2004
SPOTS HRG point spread function
Given a SPOTS image and its associated geometric physical
and resolution models, each airborne picture of the reference
dataset is projected in the SPOTS focal plane thus simulating
the conditions of acquisition of the actual HRG or HRS image.
For the given reference image let Lm be its associated
geometric model : for each point (Ir,pr) of the reference
image the ground position of the point is given by LR(IR,pR).
Let then Ls be the initial geometric model of the SPOT image:
Ls (Is,ps) 1s the ground position of point (Is,ps) of the SPOTS
image. The simulation step then projects point (IR,pr) of the
reference image at position (Is,ps)=Ls -'Lr(IrR,pr) in the
SPOTS image while the actual position is (lp).
The simulated and the real image are then compared to each
other, using image matching tools.
3.2 Error budget
The objective of this paragraph is to analyze the budget errors
leading to the measured difference
dm(l.p.Iref) =(1s,ps)-(1,p)+Ecor(1,p)
where Ecor stands for image matching errors. Image matching
algorithms developped at CNES/QTIS and applied to this
method give a RMS accuracy of 0.02 pixel for radiometrically
similar looking images, which is the case here since
diachronism as been avoided.,
and
(Is,ps)=(1,p)+ErEF(Iref)+EDEM(1,p)+EPsF(l,p)+EsPOT(d)
where
eREr(Iref) stands for errors of the geometric models of the
reference data sets; residuals in the bundle ajustment of the
initial data set lead to a RMS error of 0.4 m. For a given image
Iref of the reference data set, Erer (Iref) is considered a
constant.
£DEM(l,p) stands for errors due to digital elevation model used
to project the reference data into the SPOTS geometry.
Refined DEM accuracy is estimated to 1m ; it is increased to
2m to take into account the landscape changes during the 5
years period from original data set acquisition and SPOTS data
acquisition. SPOTS data are all acquired with almost vertical
viewing directions. The reference data set field of view is 20^,
thus the RMS influence of DEM is estimated to :
20 *
]
EDEM (1,p) = 20° f tan x )dx x2mz03m
0°
Epsr(l,p) stands for errors due to point spread function
approximation ; the SPOTS point spread function is very well
known and its impact is considered less then a few hundredth
of a pixel, RMS.