ATCOR3 Algorithm
Processing of bands in the solar region (400 - 2500 nm)
The total signal at the sensor consists of four components: path radiance, reflected
radiation from the viewed pixel, scattered radiation from the neighborhood,
and terrain radiation reflected to the pixel (see Figure 1).
The atmospheric conditions (water vapor content, aerosol type, visibility) for
a scene can be estimated with the SPECTRA module. Then, the surface reflectance
spectrum of a target in the scene can be viewed as a function of the selected
atmospheric parameters. It can be compared to typical library spectra.
(12k)
Figure 1 : Schematic sketch of radiation components for a rugged terrain.
Component 1 : path radiance: radiation scattered by the atmosphere
(photons without ground contact).
Component 2 : reflected radiation from the viewed pixel.
Component 3 : adjacency radiation: ground reflected from the neighborhood
and scattered into the view direction.
Component 4 : terrain radiation reflected to the pixel (from opposite hills,
according to the terrain view factor).
Only component 2 contains information from the viewed pixel.
The reflectance calculation is performed iteratively in 5 or 6 major steps:
- Step 1: the influence of the neighborhood is neglected. A start value for
the ground reflectance of the surrounding topography is employed.
The path radiance component is subtracted from the signal.
Shadow cast from surrounding topography is included (result of SHADOW program).
- Step 2: a low pass filtered reflectance image of step 1 is calculated. The
filter size can be specified by the user (typically 1-2 km, corresponding
to a range of R=0.5 - 1 km for the adjacency effect).
- Step 3: The results of the SKYVIEW program are employed to calculate the
contribution of the reflected terrain radiation (component 4) averaging
over a box of size 0.5 km. The terrain_view_factor is 1 - skyview_factor.
This step is iterated three times for convergence.
- Step 4: Adjacency effect: the atmospheric crosstalk between adjacent
fields of different reflectances is taken into account (see flat terrain).
- Step 5: Spherical albedo effect: the global flux on the ground depends
on the large-scale (1 km) average reflectance. The global flux in the
atmospheric LUT's is calculated for a fixed reflectance=0.15 . This
iteration performs the update for the spatially varying average reflectance
map of the current scene, if the adjacency range R > 0 .
- Step 6: (optional) empirical BRDF correction in areas of steep slopes or
low illumination.
If the adjacency range R is selected as R=0 then steps 2 to 5 are omitted.
Processing of bands in the thermal region (8 - 13 um)
This section applies to Landsat-4/5 Thematic Mapper band 6, Landsat-7 ETM+ band 6,
ASTER, and possible future thermal band sensors. It is similar to the flat terrain case (see Figure 2 of
Method ATCOR2), however, the
elevation dependence of path radiance, atmospheric transmittance, and downwelling
thermal flux is taken into account.
For a sensor with n thermal channels there are n equations with n+1 unknowns,
namely the n surface emissivities plus a surface temperature. So, the system
of equations is always underdetermined. Several possibilities exist to address
this problem. In model ATCOR the user can select a constant surface emissivity,
e.g. 0.98 (TM band 6: 10.5-12.5 um, ASTER band 13: 10.3-11.0 um)
for a scene or a surface cover dependent value.
- In case of a cover-dependent emissivity value
a surface (brightness) temperature image is calculated based on an
emissivity estimate for each pixel derived from the reflective bands
of the sensor. Three emissivity classes are currently being used:
- soil/asphalt/sand/mixed pixels (emissivity = 0.96)
- vegetation (emissivity = 0.97)
- water and unclassified pixels (emissivity = 0.98)
The criterion for vegetation is a ratio vegetation index NIR/RED > 2,
the criterion for soil is a reflectance > 10% in the RED band.
- The emissivity classification is available as a separate file with the
extension "*_emi3.bsq". The values are coded as byte data with a scale factor
of 100, so the data value 97 corresponds to an emissivity value of 0.97 .
- The temperature channel is appended as the last band. Results are in
degree Celsius multiplied with the user-defined scale factor (default=4).
In case of possible negative Celsius temperatures the user can specify
an offset to stay within the byte data range (0-255) or use a scale
factor of 10 in which case the results (reflectance and temperature)
will be stored as signed integer (16 bit data range).
After the emissivity selection the surface radiance can be calculated for the
chosen atmospheric conditions (water vapor, aerosol content), which is
converted to a surface temperature using a 2nd order polynomial approximation of the
radiance-temperature relationship.
For multi-band thermal data the normalized emissivity method (NEM), adjusted NEM, and
in-scene atmospheric correction (ISAC) can also be selected.
Accuracy of the Method
The accuracy of the method depends on several factors :
- radiometric calibration accuracy of the sensor (typically 3-10%)
- radiative transfer code : accuracy of MODTRAN 4 better than 5 % in the
atmospheric window regions
- correct choice of atmospheric input parameters : up to user
- For near nadir view angles (off-nadir angle < 10 degree), a flat terrain,
and avoiding the specular
and backscattering regions, an accuracy of the retrieval of surface reflectance
of +/-0.02 (reflectance < 0.10) and +/-0.04 (reflectance > 0.40) is possible
For larger off-nadir view angles bidirectional effects can play a strong role.
- The quality of the DEM and the ortho-rectification have a very large
influence on the radiometric processing
(see Reference Publications Richter 1998).
In the thermal region, the surface temperature retrieval additionally depends on the
appropriate surface emissivity map. If the deviation of the true surface emissivity
to the assumed emissivity is less than 0.02, than the temperatures will be accurate to
about 1-1.5 K. Larger deviations will occur if the emissivity estimate is not close to
reality. A rule of thumb is a surface temperature error of about 0.5-0.7 K per 0.01
emissivity error for surface temperatures much higher than the boundary layer air
temperature.
Last Updated: 23-Jan-2008
(12k)