bionic (1) i.atcorr.1grass.gz

Provided by: grass-doc_7.4.0-1_all bug

NAME

       i.atcorr  - Performs atmospheric correction using the 6S algorithm.
       6S - Second Simulation of Satellite Signal in the Solar Spectrum.

KEYWORDS

       imagery, atmospheric correction, radiometric conversion, radiance, reflectance, satellite

SYNOPSIS

       i.atcorr
       i.atcorr --help
       i.atcorr  [-irab]  input=name   [range=min,max]    [elevation=name]    [visibility=name]  parameters=name
       output=name  [rescale=min,max]   [--overwrite]  [--help]  [--verbose]  [--quiet]  [--ui]

   Flags:
       -i
           Output raster map as integer

       -r
           Input raster map converted to reflectance (default is radiance)

       -a
           Input from ETM+ image taken after July 1, 2000

       -b
           Input from ETM+ image taken before July 1, 2000

       --overwrite
           Allow output files to overwrite existing files

       --help
           Print usage summary

       --verbose
           Verbose module output

       --quiet
           Quiet module output

       --ui
           Force launching GUI dialog

   Parameters:
       input=name [required]
           Name of input raster map

       range=min,max
           Input range
           Default: 0,255

       elevation=name
           Name of input elevation raster map (in m)

       visibility=name
           Name of input visibility raster map (in km)

       parameters=name [required]
           Name of input text file with 6S parameters

       output=name [required]
           Name for output raster map

       rescale=min,max
           Rescale output raster map
           Default: 0,255

DESCRIPTION

       i.atcorr performs atmospheric correction  on  the  input  raster  map  using  the  6S  algorithm  (Second
       Simulation  of  Satellite Signal in the Solar Spectrum). A detailed algorithm description is available at
       the Land Surface Reflectance Science Computing Facility website.

       Important note: Current region settings are ignored! The region is adjusted to cover the input raster map
       before the atmospheric correction is performed. The previous settings are restored afterwards.  This flag
       tells i.atcorr to try and speedup calculations.  However, this option will increase memory requirements.

       If flag -r is used, the input raster data are treated as reflectance. Otherwise, the  input  raster  data
       are  treated as radiance values and are converted to reflectance at the i.atcorr runtime. The output data
       are always reflectance.

       Note that the satellite overpass time has to be specified in Greenwich Mean Time (GMT).

       An example 6S parameters:
       8                            - geometrical conditions=Landsat ETM+
       2 19 13.00 -47.410 -20.234   - month day hh.ddd longitude latitude ("hh.ddd" is in decimal hours GMT)
       1                            - atmospheric mode=tropical
       1                            - aerosols model=continental
       15                           - visibility [km] (aerosol model concentration)
       -0.600                       - mean target elevation above sea level [km] (here 600m asl)
       -1000                        - sensor height (here, sensor on board a satellite)
       64                           - 4th band of ETM+ Landsat 7
       If the position is not available in longitude-latitude (WGS84), the m.proj conversion module can be  used
       to reproject from a different projection.

6S CODE PARAMETER CHOICES

   A. Geometrical conditions
       Code                                                         Description                                                  Details

       1                                                            meteosat observation                                         enter  month,day,decimal  hour (universal time-hh.ddd) n. of
                                                                                                                                 column,n. of line. (full scale 5000*2500)

       2                                                            goes east observation                                        enter month,day,decimal hour (universal time-hh.ddd)  n.  of
                                                                                                                                 column,n. of line. (full scale 17000*12000)c

       3                                                            goes west observation                                        enter  month,day,decimal  hour (universal time-hh.ddd) n. of
                                                                                                                                 column,n. of line. (full scale 17000*12000)

       4                                                            avhrr (PM noaa)                                              enter month,day,decimal hour (universal time-hh.ddd)  n.  of
                                                                                                                                 column(1-2048),xlonan,hna  give  long.(xlonan)  and overpass
                                                                                                                                 hour (hna) at the ascendant node at equator

       5                                                            avhrr (AM noaa)                                              enter month,day,decimal hour (universal time-hh.ddd)  n.  of
                                                                                                                                 column(1-2048),xlonan,hna  give  long.(xlonan)  and overpass
                                                                                                                                 hour (hna) at the ascendant node at equator

       6                                                            hrv (spot)                                                   enter month,day,hh.ddd,long.,lat. *

       7                                                            tm (landsat)                                                 enter month,day,hh.ddd,long.,lat. *

       8                                                            etm+ (landsat7)                                              enter month,day,hh.ddd,long.,lat. *

       9                                                            liss (IRS 1C)                                                enter month,day,hh.ddd,long.,lat. *

       10                                                           aster                                                        enter month,day,hh.ddd,long.,lat. *

       11                                                           avnir                                                        enter month,day,hh.ddd,long.,lat. *

       12                                                           ikonos                                                       enter month,day,hh.ddd,long.,lat. *

       13                                                           RapidEye                                                     enter month,day,hh.ddd,long.,lat. *

       14                                                           VGT1 (SPOT4)                                                 enter month,day,hh.ddd,long.,lat. *

       15                                                           VGT2 (SPOT5)                                                 enter month,day,hh.ddd,long.,lat. *

       16                                                           WorldView 2                                                  enter month,day,hh.ddd,long.,lat. *

       17                                                           QuickBird                                                    enter month,day,hh.ddd,long.,lat. *

       18                                                           LandSat 8                                                    enter month,day,hh.ddd,long.,lat. *

       19                                                           Geoeye 1                                                     enter month,day,hh.ddd,long.,lat. *

       20                                                           Spot6                                                        enter month,day,hh.ddd,long.,lat. *

       21                                                           Spot7                                                        enter month,day,hh.ddd,long.,lat. *

       22                                                           Pleiades1A                                                   enter month,day,hh.ddd,long.,lat. *

       23                                                           Pleiades1B                                                   enter month,day,hh.ddd,long.,lat. *

       24                                                           Worldview3                                                   enter month,day,hh.ddd,long.,lat. *

       25                                                           Sentinel-2A                                                  enter month,day,hh.ddd,long.,lat. *

       NOTE: for HRV, TM, ETM+, LISS and ASTER experiments, longitude and latitude are the  coordinates  of  the
       scene  center.  Latitude  must be > 0 for northern hemisphere and < 0 for southern. Longitude must be > 0
       for eastern hemisphere and < 0 for western.

   B. Atmospheric model
       Code                                                         Meaning

       0                                                            no gaseous absorption

       1                                                            tropical

       2                                                            midlatitude summer

       3                                                            midlatitude winter

       4                                                            subarctic summer

       5                                                            subarctic winter

       6                                                            us standard 62

       7                                                            Define your own atmospheric model as a set of the  following
                                                                    5  parameters  per  each measurement: altitude [km] pressure
                                                                    [mb] temperature [k] h2o density [g/m3]  o3  density  [g/m3]
                                                                    For  example:  there  is one radiosonde measurement for each
                                                                    altitude of 0-25km at a step of 1km, one measurment for each
                                                                    altitude  of  25-50km  at  a  step  of  5km,  and two single
                                                                    measurements for altitudes 70km and  100km.  This  makes  34
                                                                    measurments. In that case, there are 34*5 values to input.

       8                                                            Define  your  own  atmospheric model providing values of the
                                                                    water vapor and ozone content: uw [g/cm2] uo3  [cm-atm]  The
                                                                    profile is taken from us62.

   C. Aerosols model
       Code                                                         Meaning                                                      Details

       0                                                            no aerosols

       1                                                            continental model

       2                                                            maritime model

       3                                                            urban model

       4                                                            shettle model for background desert aerosol

       5                                                            biomass burning

       6                                                            stratospheric model

       7                                                            define your own model                                        Enter  the  volumic  percentage  of  each  component: c(1) =
                                                                                                                                 volumic % of dust-like c(2) =  volumic  %  of  water-soluble
                                                                                                                                 c(3)  =  volumic  %  of oceanic c(4) = volumic % of soot All
                                                                                                                                 values between 0 and 1.

       8                                                            define your own model                                        Size distribution function: Multimodal Log Normal (up  to  4
                                                                                                                                 modes).

       9                                                            define your own model                                        Size distribution function: Modified gamma.

       10                                                           define your own model                                        Size distribution function: Junge Power-Law.

       11                                                           define your own model                                        Sun-photometer  measurements,  50  values max, entered as: r
                                                                                                                                 and d V / d (logr) where r is the radius [micron], V is  the
                                                                                                                                 volume,  d  V  / d (logr) [cm3/cm2/micron].  Followed by: nr
                                                                                                                                 and ni for each wavelength where nr and ni are  respectively
                                                                                                                                 the real and imaginary part of the refractive index.

   D. Aerosol concentration model (visibility)
       If  you have an estimate of the meteorological parameter visibility v, enter directly the value of v [km]
       (the aerosol optical depth (AOD) will be computed from a standard aerosol profile).

       If you have an estimate of aerosol optical depth, enter 0 for the visibility  and  in  a  following  line
       enter the aerosol optical depth at 550nm (iaer means ’i’ for input and ’aer’ for aerosol), for example:
       0                            - visibility
       0.112                        - aerosol optical depth 550 nm

       NOTE: if iaer is 0, enter -1 for visibility.

   E. Target altitude (xps), sensor platform (xpp)
       Target altitude (xps, in negative [km]): xps >= 0 means the target is at the sea level.
       otherwise  xps  expresses  the  altitude  of the target (e.g., mean elevation) in [km], given as negative
       value

       Sensor platform (xpp, in negative [km] or -1000):
       xpp = -1000 means that the sensor is on board a satellite.
       xpp = 0 means that the sensor is at the ground level.
       -100 < xpp < 0 defines the altitude of the sensor expressed in [km]; this altitude is given  relative  to
       the target altitude as negative value.

       For  aircraft  simulations  only  (xpp  is  neither  equal to 0 nor equal to -1000): puw,po3 (water vapor
       content,ozone content between the aircraft and the surface)
       taerp (the aerosol optical thickness at 550nm between the aircraft and the surface)

       If these data are not  available,  enter  negative  values  for  all  of  them.   puw,po3  will  then  be
       interpolated  from  the  us62 standard profile according to the values at the ground level. taerp will be
       computed according to a 2km exponential profile for aerosol.

   F. Sensor band
       There are two possibilities: either define your own spectral conditions (codes -2, -1, 0, or 1) or choose
       a code indicating the band of one of the pre-defined satellites.

       Define your own spectral conditions:

       Code                                                         Meaning

       -2                                                           Enter  wlinf, wlsup.  The filter function will be equal to 1
                                                                    over the whole band (as iwave=0) but  step  by  step  output
                                                                    will be printed.

       -1                                                           Enter wl (monochr. cond, gaseous absorption is included).

       0                                                            Enter  wlinf,  wlsup.   The filter function will be equal to
                                                                    1over the whole band.

       1                                                            Enter wlinf, wlsup and user’s filter function  s(lambda)  by
                                                                    step of 0.0025 micrometer.

       Pre-defined satellite bands:

       Code                                                         Meaning

       2                                                            meteosat vis band (0.350-1.110)

       3                                                            goes east band vis (0.490-0.900)

       4                                                            goes west band vis (0.490-0.900)

       5                                                            avhrr (noaa6) band 1 (0.550-0.750)

       6                                                            avhrr (noaa6) band 2 (0.690-1.120)

       7                                                            avhrr (noaa7) band 1 (0.500-0.800)

       8                                                            avhrr (noaa7) band 2 (0.640-1.170)

       9                                                            avhrr (noaa8) band 1 (0.540-1.010)

       10                                                           avhrr (noaa8) band 2 (0.680-1.120)

       11                                                           avhrr (noaa9) band 1 (0.530-0.810)

       12                                                           avhrr (noaa9) band 1 (0.680-1.170)

       13                                                           avhrr (noaa10) band 1 (0.530-0.780)

       14                                                           avhrr (noaa10) band 2 (0.600-1.190)

       15                                                           avhrr (noaa11) band 1 (0.540-0.820)

       16                                                           avhrr (noaa11) band 2 (0.600-1.120)

       17                                                           hrv1 (spot1) band 1 (0.470-0.650)

       18                                                           hrv1 (spot1) band 2 (0.600-0.720)

       19                                                           hrv1 (spot1) band 3 (0.730-0.930)

       20                                                           hrv1 (spot1) band pan (0.470-0.790)

       21                                                           hrv2 (spot1) band 1 (0.470-0.650)

       22                                                           hrv2 (spot1) band 2 (0.590-0.730)

       23                                                           hrv2 (spot1) band 3 (0.740-0.940)

       24                                                           hrv2 (spot1) band pan (0.470-0.790)

       25                                                           tm (landsat5) band 1 (0.430-0.560)

       26                                                           tm (landsat5) band 2 (0.500-0.650)

       27                                                           tm (landsat5) band 3 (0.580-0.740)

       28                                                           tm (landsat5) band 4 (0.730-0.950)

       29                                                           tm (landsat5) band 5 (1.5025-1.890)

       30                                                           tm (landsat5) band 7 (1.950-2.410)

       31                                                           mss (landsat5) band 1 (0.475-0.640)

       32                                                           mss (landsat5) band 2 (0.580-0.750)

       33                                                           mss (landsat5) band 3 (0.655-0.855)

       34                                                           mss (landsat5) band 4 (0.785-1.100)

       35                                                           MAS (ER2) band 1 (0.5025-0.5875)

       36                                                           MAS (ER2) band 2 (0.6075-0.7000)

       37                                                           MAS (ER2) band 3 (0.8300-0.9125)

       38                                                           MAS (ER2) band 4 (0.9000-0.9975)

       39                                                           MAS (ER2) band 5 (1.8200-1.9575)

       40                                                           MAS (ER2) band 6 (2.0950-2.1925)

       41                                                           MAS (ER2) band 7 (3.5800-3.8700)

       42                                                           MODIS band 1 (0.6100-0.6850)

       43                                                           MODIS band 2 (0.8200-0.9025)

       44                                                           MODIS band 3 (0.4500-0.4825)

       45                                                           MODIS band 4 (0.5400-0.5700)

       46                                                           MODIS band 5 (1.2150-1.2700)

       47                                                           MODIS band 6 (1.6000-1.6650)

       48                                                           MODIS band 7 (2.0575-2.1825)

       49                                                           avhrr (noaa12) band 1 (0.500-1.000)

       50                                                           avhrr (noaa12) band 2 (0.650-1.120)

       51                                                           avhrr (noaa14) band 1 (0.500-1.110)

       52                                                           avhrr (noaa14) band 2 (0.680-1.100)

       53                                                           POLDER band 1 (0.4125-0.4775)

       54                                                           POLDER band 2 (non polar) (0.4100-0.5225)

       55                                                           POLDER band 3 (non polar) (0.5325-0.5950)

       56                                                           POLDER band 4 P1 (0.6300-0.7025)

       57                                                           POLDER band 5 (non polar) (0.7450-0.7800)

       58                                                           POLDER band 6 (non polar) (0.7000-0.8300)

       59                                                           POLDER band 7 P1 (0.8100-0.9200)

       60                                                           POLDER band 8 (non polar) (0.8650-0.9400)

       61                                                           etm+ (landsat7) band 1 (0.435-0.520)

       62                                                           etm+ (landsat7) band 2 (0.506-0.621)

       63                                                           etm+ (landsat7) band 3 (0.622-0.702)

       64                                                           etm+ (landsat7) band 4 (0.751-0.911)

       65                                                           etm+ (landsat7) band 5 (1.512-1.792)

       66                                                           etm+ (landsat7) band 7 (2.020-2.380)

       67                                                           etm+ (landsat7) band 8 (0.504-0.909)

       68                                                           liss (IRC 1C) band 2 (0.502-0.620)

       69                                                           liss (IRC 1C) band 3 (0.612-0.700)

       70                                                           liss (IRC 1C) band 4 (0.752-0.880)

       71                                                           liss (IRC 1C) band 5 (1.452-1.760)

       72                                                           aster  band 1 (0.480-0.645)

       73                                                           aster band 2 (0.588-0.733)

       74                                                           aster band 3N (0.723-0.913)

       75                                                           aster band 4 (1.530-1.750)

       76                                                           aster band 5 (2.103-2.285)

       77                                                           aster band 6 (2.105-2.298)

       78                                                           aster band 7 (2.200-2.393)

       79                                                           aster band 8 (2.248-2.475)

       80                                                           aster band 9 (2.295-2.538)

       81                                                           avnir band 1 (0.390-0.550)

       82                                                           avnir band 2 (0.485-0.695)

       83                                                           avnir band 3 (0.545-0.745)

       84                                                           avnir band 4 (0.700-0.925)

       85                                                           ikonos Green band (0.350-1.035)

       86                                                           ikonos Red band (0.350-1.035)

       87                                                           ikonos NIR band (0.350-1.035)

       88                                                           RapidEye Blue band (0.438-0.513)

       89                                                           RapidEye Green band (0.463-0.594)

       90                                                           RapidEye Red band (0.624-0.690)

       91                                                           RapidEye RedEdge band (0.500-0.737)

       92                                                           RapidEye NIR band (0.520-0.862)

       93                                                           VGT1 (SPOT4) band 0 (0.400-0.500)

       94                                                           VGT1 (SPOT4) band 2 (0.580-0.782)

       95                                                           VGT1 (SPOT4) band 3 (0.700-1.030)

       96                                                           VGT1 (SPOT4) MIR band (1.450-1.800)

       97                                                           VGT2 (SPOT5) band 0 (0.400-0.550)

       98                                                           VGT2 (SPOT5) band 2 (0.580-0.780)

       99                                                           VGT2 (SPOT5) band 3 (0.700-1.000)

       100                                                          VGT2 (SPOT5) MIR band (1.450-1.800)

       101                                                          WorldView 2 Panchromatic band (0.447-0.808)

       102                                                          WorldView 2 Coastal Blue band (0.396-0.458)

       103                                                          WorldView 2 Blue band (0.442-0.515)

       104                                                          WorldView 2 Green band (0.506-0.586)

       105                                                          WorldView 2 Yellow band (0.584-0.632)

       106                                                          WorldView 2 Red band (0.624-0.694)

       107                                                          WorldView 2 Red Edge band (0.699-0.749)

       108                                                          WorldView 2 NIR1 band (0.765-0.901)

       109                                                          WorldView 2 NIR2 band (0.856-0.1043)

       110                                                          QuickBird Panchromatic band (0.405-1.053)

       111                                                          QuickBird Blue band (0.430-0.545)

       112                                                          QuickBird Green band (0.466-0.620)

       113                                                          QuickBird Red band (0.590-0.710)

       114                                                          QuickBird NIR1 band (0.715-0.918)

       115                                                          Landsat 8  Coastal Aerosol Band (0.427nm - 0.459nm)

       116                                                          Landsat 8 Blue Band  (436nm - 527nm)

       117                                                          Landsat 8 Green Band (512nm-610nm)

       118                                                          Landsat 8 Red Band (625nm-691nm)

       119                                                          Landsat 8 Panchromatic Band (488nm-692nm)

       120                                                          Landsat 8 NIR Band (829nm-900nm)

       121                                                          Landsat 8 Cirrus Band (1340nm-1409nm)

       122                                                          Landsat 8 SWIR1 Band (1515nm - 1697nm)

       123                                                          Landsat 8 SWIR2 Band (2037nm - 2355nm)

       115                                                          GeoEye 1 Panchromatic band (0.450-0.800)

       116                                                          GeoEye 1 Blue Band  (0.450-0.510)

       117                                                          GeoEye 1 Green Band (0.510-0.580)

       118                                                          GeoEye 1 Red Band (0.655-0.690)

       120                                                          GeoEye 1 NIR Band (0.780-0.920)

       129                                                          Spot6 Blue band (455nm - 525nm)

       130                                                          Spot6 Green band  (530nm - 527nm)

       131                                                          Spot6 Red band  (625nm - 695nm)

       132                                                          Spot6 NIR band  (760nm - 890nm)

       133                                                          Spot6 Pan band  (455nm - 745nm)

       134                                                          Spot7 Blue band (455nm - 525nm)

       135                                                          Spot7 Green band  (530nm - 527nm)

       136                                                          Spot7 Red band  (625nm - 695nm)

       137                                                          Spot7 NIR band  (760nm - 890nm)

       138                                                          Spot7 Pan band  (455nm - 745nm)

       139                                                          Pleiades1A Blue band (430nm - 550nm)

       140                                                          Pleiades1A Green band  (490nm - 610nm)

       141                                                          Pleiades1A Red band  (600nm - 720nm)

       142                                                          Pleiades1A NIR band  (750nm - 950nm)

       143                                                          Pleiades1A Pan band  (480nm - 830nm)

       144                                                          Pleiades1B  Blue band (430nm - 550nm)

       145                                                          Pleiades1B Green band  (490nm - 610nm)

       146                                                          Pleiades1B Red band  (600nm - 720nm)

       147                                                          Pleiades1B NIR band  (750nm - 950nm)

       148                                                          Pleiades1B Pan band  (480nm - 830nm)

       149                                                          Worldview3  Pan band (450nm - 800nm)

       150                                                          Worldview3 Coastal blue band (400nm - 450 nm)

       151                                                          Worldview3 Blue band (450nm - 510 nm)

       152                                                          Worldview3 Green band (510nm - 580 nm)

       153                                                          Worldview3 Yellow band (585nm - 625 nm)

       154                                                          Worldview3 Red band (630nm - 690 nm)

       155                                                          Worldview3 Red edge band (705nm - 745 nm)

       156                                                          Worldview3 NIR1 band (770nm - 895 nm)

       157                                                          Worldview3 NIR2 band (860nm - 1040 nm)

       158                                                          Worldview3 SWIR1 band (1195nm - 1225 nm)

       159                                                          Worldview3 SWIR2 band (1550nm - 1590 nm)

       160                                                          Worldview3 SWIR3 band (1640nm - 1680 nm)

       161                                                          Worldview3 SWIR4 band (1710nm - 1750 nm)

       162                                                          Worldview3 SWIR5 band (2145nm - 2185 nm)

       163                                                          Worldview3 SWIR6 band (2185nm - 2225 nm)

       163                                                          Worldview3 SWIR7 band (2235nm - 2285 nm)

       165                                                          Worldview3 SWIR8 band (2295nm - 2365 nm)

       166                                                          Sentinel2A Coastal blue band B1 ( 430nm - 457nm)

       167                                                          Sentinel2A Blue band B2 ( 440nm - 535nm)

       168                                                          Sentinel2A Green band B3 ( 537nm - 582nm)

       169                                                          Sentinel2A Red band B4 ( 646nm - 684nm)

       170                                                          Sentinel2A Red edge band B5 ( 694nm - 713nm)

       171                                                          Sentinel2A Red edge band B6 ( 731nm - 749nm)

       172                                                          Sentinel2A Red edge band B7 ( 769nm - 797nm)

       173                                                          Sentinel2A NIR band B8 ( 773nm -  908nm)

       174                                                          Sentinel2A Red edge band B8A ( 848nm - 881nm)

       175                                                          Sentinel2A Water vapour band B9 ( 932nm - 958nm)

       176                                                          Sentinel2A SWIR Cirrus band B10 ( 1337nm - 1412nm)

       177                                                          Sentinel2A SWIR band B11 ( 1539nm - 1682nm)

       178                                                          Sentinel2A SWIR band B12 ( 2078nm - 2320nm)

EXAMPLES

   Atmospheric correction of a LANDSAT-7 channel
       The example is based on the North Carolina sample dataset (GMT -5 hours).  First we set the computational
       region to the satellite map, e.g. channel 4:
       g.region raster=lsat7_2002_40 -p
       It is important to verify the available metadata for the sun position which has to  be  defined  for  the
       atmospheric  correction.  An option is to check the satellite overpass time with sun position as reported
       in the metadata file (file copy; North Carolina sample dataset). In case of  the  North  Carolina  sample
       dataset, values have been stored for each channel and can be retrieved like this:
       r.info lsat7_2002_40
       In this case, we have: SUN_AZIMUTH = 120.8810347, SUN_ELEVATION = 64.7730999.

       If  the  sun  position  metadata  are  unavailable,  we can also calculate them from the overpass time as
       follows (r.sunmask uses SOLPOS):
       r.sunmask -s elev=elevation out=dummy year=2002 month=5 day=24 hour=10 min=42 sec=7 timezone=-5
       # .. reports: sun azimuth: 121.342461, sun angle above horz.(refraction corrected): 65.396652
       If the overpass time is unknown, use the NASA LaRC Satellite Overpass Predictor.

   Conversion of digital number (DN) to radiance at top-of-atmosphere (TOA)
       For Landsat and ASTER, the conversion can be  conveniently  done  with  i.landsat.toar  or  i.aster.toar,
       respectively.

       In  case  of  different  satellites,  the conversion of DN (digital number = pixel values) to radiance at
       top-of-atmosphere (TOA) can also be done manually, using e.g. the formula
       # formula depends on satellite sensor, see respective metadata
       L&#955; = ((LMAX&#955; - LMIN&#955;)/(QCALMAX-QCALMIN)) * (QCAL-QCALMIN) + LMIN&#955;
       where:

           •   L&#955; = Spectral Radiance at the sensor’s aperture in Watt/(meter squared *  ster  *  µm),  the
               apparent radiance as seen by the satellite sensor;

           •   QCAL = the quantized calibrated pixel value in DN;

           •   LMIN&#955;  =  the  spectral  radiance that is scaled to QCALMIN in watts/(meter squared * ster *
               µm);

           •   LMAX&#955; = the spectral radiance that is scaled to QCALMAX in watts/(meter  squared  *  ster  *
               µm);

           •   QCALMIN = the minimum quantized calibrated pixel value (corresponding to LMIN&#955;) in DN;

           •   QCALMAX = the maximum quantized calibrated pixel value (corresponding to LMAX&#955;) in DN=255.
       LMIN&#955; and LMAX&#955; are the radiances related to the minimal and maximal DN value, and are reported
       in the metadata file for each image, or in the table 1. High gain or low gain is  also  reported  in  the
       metadata  file of each satellite image. For Landsat, the minimal DN value (QCALMIN) is 1 for Landsat ETM+
       images (see Landsat handbook, see chapter 11), and the maximal DN value (QCALMAX) is 255. QCAL is the  DN
       value for every separate pixel in the Landsat image.

       We extract the coefficients and apply them in order to obtain the radiance map:
       CHAN=4
       r.info lsat7_2002_${CHAN}0 -h | tr ’\n’ ’ ’ | sed ’s+ ++g’ | tr ’:’ ’\n’ | grep "LMIN_BAND${CHAN}\|LMAX_BAND${CHAN}"
       LMAX_BAND4=241.100,p016r035_7x20020524.met
       LMIN_BAND4=-5.100,p016r035_7x20020524.met
       QCALMAX_BAND4=255.0,p016r035_7x20020524.met
       QCALMIN_BAND4=1.0,p016r035_7x20020524.met
       Conversion  to radiance (this calculation is done for band 4, for the other bands, the numbers in italics
       need to be replaced with their related values):
       r.mapcalc "lsat7_2002_40_rad = ((241.1 - (-5.1)) / (255.0 - 1.0)) * (lsat7_2002_40 - 1.0) + (-5.1)"
       Again, the r.mapcalc calculation is only needed when working with satellite data other  than  Landsat  or
       ASTER.

   Creation of parameter file for i.atcorr
       The underlying 6S model is parametrized through a control file, indicated with the parameter option. This
       is a text file defining geometrical and atmospherical conditions of the satellite  overpass.  Below  some
       details:

       # find mean elevation (target above sea level, used as initialization value in control file)
       r.univar elevation
       Create  a  control file ’icnd.txt’ for channel 4 (NIR), based on metadata. For the overpass time, we need
       to define decimal hours:
       10:42:07 NC local time = 10.70 decimal hours (decimal minutes: 42 * 100 / 60) which is 15.70 GMT:
       8                            - geometrical conditions=Landsat ETM+
       5 24 15.70 -78.691 35.749    - month day hh.ddd longitude latitude ("hh.ddd" is in GMT decimal hours)
       2                            - atmospheric mode=midlatitude summer
       1                            - aerosols model=continental
       50                           - visibility [km] (aerosol model concentration)
       -0.110                       - mean target elevation above sea level [km]
       -1000                        - sensor on board a satellite
       64                           - 4th band of ETM+ Landsat 7
       Finally, run the atmospheric correction (-r for reflectance input map; -a for date >July 2000):
       i.atcorr -r -a lsat7_2002_40_rad elev=elevation parameters=icnd_lsat4.txt output=lsat7_2002_40_atcorr
       Note that the altitude value from ’icnd_lsat4.txt’ file is read at the beginning to compute  the  initial
       transform.  It is necessary to give a value which could be the mean value of the elevation model. For the
       atmospheric correction then the raster elevation values are used from the map.

       Note that the process is computationally intensive.
       Note also, that i.atcorr reports solar elevation angle above horizon rather than solar zenith angle.

REMAINING DOCUMENTATION ISSUES

       1. The influence and importance of the visibility value or map should be explained, also how to obtain an
       estimate for either visibility or aerosol optical depth at 550nm.

SEE ALSO

       GRASS Wiki page about Atmospheric correction

        i.aster.toar, i.landsat.toar, r.info, r.mapcalc, r.univar

REFERENCES

           •   Vermote,  E.F.,  Tanre, D., Deuze, J.L., Herman, M., and Morcrette, J.J., 1997, Second simulation
               of the satellite signal in the solar spectrum, 6S: An overview., IEEE Trans.  Geosc.  and  Remote
               Sens. 35(3):675-686.

           •   6S Manual: PDF1, PDF2, and PDF3

           •   RapidEye sensors have been provided by RapidEye AG, Germany

           •   Julia  A.  Barsi, Brian L. Markham and Jeffrey A. Pedelty  "The operational land imager: spectral
               response and spectral uniformity", Proc. SPIE 8153, 81530G (2011); doi:10.1117/12.895438

AUTHORS

       Original version of the program for GRASS 5:
       Christo Zietsman, 13422863(at)sun.ac.za

       Code clean-up and port to GRASS 6.3, 15.12.2006:
       Yann Chemin, ychemin(at)gmail.com

       Documentation clean-up + IRS LISS sensor addition 5/2009:
       Markus Neteler, FEM, Italy

       ASTER sensor addition 7/2009:
       Michael Perdue, Canada

       AVNIR, IKONOS sensors addition 7/2010:
       Daniel Victoria, Anne Ghisla

       RapidEye sensors addition 11/2010:
       Peter Löwe, Anne Ghisla

       VGT1 and VGT2 sensors addition from 6SV-1.1 sources, addition 07/2011:
       Alfredo Alessandrini, Anne Ghisla

       Added Landsat 8 from NASA sources, addition 05/2014:
       Nikolaos Ves

       Geoeye1 addition 7/2015:
       Marco Vizzari

       Worldview3 addition 8/2016:
       Markus Neteler, mundialis.de, Germany

       Sentinel-2A addition 12/2016:
       Markus Neteler, mundialis.de, Germany

       Last changed: $Date: 2016-12-28 15:39:52 +0100 (Wed, 28 Dec 2016) $

SOURCE CODE

       Available at: i.atcorr source code (history)

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       © 2003-2018 GRASS Development Team, GRASS GIS 7.4.0 Reference Manual