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CHAPTER
5
Atmospheric Correction of Optical
Imagery
OUTLINE
5.1. Atmospheric Effects 112
5.1.1. Atmospheric Characterization
in a
Quantitative Remote-Sensing
Model 112
5.1.2. Atmospheric Composition 112
5.1.3. Interaction between
Electromagnetic Waves and the
Atmosphere 113
5.1.4. Major Aspects of Atmospheric
Correction 114
5.2. Correcting the Aerosol Impact 114
5.2.1. Spectral Informationebased
Correction Method 115
5.2.2. Temporal Infromation-based
Correction Method 117
5.2.3. Angular Information-based
Correction Method 119
5.2.4. Spatial Information-based
Correction Method 120
5.2.5. Polarization Information-based
Correction Method 121
5.3. Correcting the Impact of Water Vapor 121
5.4. Correcting the Impacts of Other
Constituents 122
5.5. Commonly Used Models and Software 122
5.5.1. MODTRAN Model 123
5.5.2. 6S Model 123
5.5.3. FLAASH 124
5.5.4. ATCOR 124
5.5.5. ACORN 124
5.6. Conclusions 124
Abstract
This chapter introduces the subject of atmospheric
effects on the process of remote-sensing imaging and
their corrections. Section 5.1 presents the background
of atmospheric effects. Section 5.2 discusses various
algorithms for estimating the aerosol properties based
on its spectral, temporal, angular, spatial, and polari-
zation characteristics. Section 5.3 introduces the algo-
rithms for estimating atmospheric moisture content.
Finally, the influences of other atmospheric compo-
nents and the commonly used atmospheric correction
models are illustrated.
Advanced Remote Sensing DOI: 10.1016/B978-0-12-385954-9.00005-8 Copyright Ó 2012 Elsevier Inc. All rights reserved.111
Advanced Remote Sensing : Terrestrial Information Extraction and Applications, edited by Shunlin Liang, et al., Elsevier Science & Technology, 2012. ProQuest
Ebook Central, http://ebookcentral.proquest.com/lib/jlu-ebooks/detail.action?docID=965002.
Created from jlu-ebooks on 2018-09-29 19:59:57.
Copyright © 2012. Elsevier Science & Technology. All rights reserved.

5.1. ATMOSPHERIC EFFECTS
5.1.1. Atmospheric Characterization
in a Quantitative Remote-Sensing Model
An optical remote-sensing system can be
divided into five subsystems (Figure 5.1): the
scene radiative transfer model, the atmospheric
radiative transfer model, the navigation
system, the sensor system, and the mapping
and binning system. The scene radiative trans-
fer model describes the relationship between
the surface radiative signals and the surface
characteristic parameters. The atmospheric
radiative transfer model characterizes the
atmospheric impacts on the surface radiative
signals that are received by the remote sensors.
The navigation system mainly involves the
surface-imaging systems of carried satellites,
aircraft, and other sensor platforms. The sensor
system includes the sensor spectral response,
spatial response, band division, noise treat-
ment, and digital processing, and t he mapp ing
and binning system mainly involves the
projection transformation and r esampling of
imagery.
The atmospheric radiative transfer model is
a critical link that connects the surface character-
istic parameters with the signals received by the
sensors. This model is also considered to be an
important factor that influences the quantitative
retrieval of the surface parameters from remote-
sensing imagery.
5.1.2. Atmospheric Composition
The atmosphere is a mixture of various gases
and suspended liquid and solid impurities. An
atmosphere free of water vapor and impurities
is called dry-clean air. The atmosphere is
composed primarily of oxygen, nitrogen, and
several inert gases, which together account for
99.9% of the total air. Excluding carbon dioxide
and water vapor, other compositions of these
gases are stable in the troposphere. The water
vapor and carbon dioxide concentrations vary
with the region, season, and weather conditions.
In most cases, water vapor and carbon dioxide
account for 0% 4% and 0.033% of the atmo-
sphere, respectively, as shown in Table 5.1.
The large number s of solid and liquid parti-
cles suspended in the atmosphere are called
aerosols, which typically include haze, smoke,
and fog. Aerosols are mainly produced by
volcanic eruptions, ground dust, sandstorms,
forest fires, various acidic particles, industry,
transportation, construction, agriculture, and
other production and living activities. The aero-
sols can be divided by particle size. Those with
a particle size between 5.0 10
3
and 0.2 mm
are called Aitken nuclei; those from 0.2 to 1 mm
are called large particles; and those greater
than 1 mm are called giant particles. In the tropo-
sphere, the aerosol concentration is subject to
exponential decay with increasing height; in
the stratosphere, the aeroso l concentration is
relatively stable.
Surface attributes
Scene radiative transfer
model
Atmospheric radiative
transfer model
Navigation
system
Sensor system
Mapping and
binning system
Remote sensing data
FIGURE 5.1 Optical remote-sensing system models. (Liang, 2004).
5. ATMOSPHERIC CORRECTION OF OPTICAL IMAGERY112
Advanced Remote Sensing : Terrestrial Information Extraction and Applications, edited by Shunlin Liang, et al., Elsevier Science & Technology, 2012. ProQuest
Ebook Central, http://ebookcentral.proquest.com/lib/jlu-ebooks/detail.action?docID=965002.
Created from jlu-ebooks on 2018-09-29 19:59:57.
Copyright © 2012. Elsevier Science & Technology. All rights reserved.

5.1.3. Interaction between
Electromagnetic Waves and the
Atmosphere
If polarization effects are disregarded and the
particles can be considered to be isotropic, then
the one-dimensional radiative transfer equati on
can be expressed as follows:
m
dLðs; m; fÞ
ds
¼ Lðs; m; fÞ
u
4p
Z
2p
0
Z
1
1
Lðs; m
i
; f
i
Þ
Pðm; f; m
i
; f
i
Þdm
i
df
i
(5.1)
where L is the radiance; ðm; 4Þ are the observa-
tion angle coordinates; q is the zenith angle; f
is the relative azimuth between the solar direc-
tion and the observation direction, m ¼ cosðqÞ;
s is the aerosol optical thickness (AOT), defined
by s ¼
R
z
0
s
e
ðzÞdz where s
e
ðzÞ is the extinction
coefficient; u is the single scattering albedo,
which describes the probability that scattering
will occur in a photonic collision with particles
of the medium; and Pðm; 4; m
i
; 4
i
Þis the scattering
phase function describing the probability of
photon scattering from other directions.
Molecular absorption refers to the conversion
of radiant energy into molecular excited oscilla-
tion energy. Scattering refers to the redistribution
of incident energy to other directions, and the
total effect shifts incident energy away from the
scatter. The atmospheric molecules that absorb
electromagnetic waves mainly include O
2
,O
3
,
H
2
O, CO
2
,CH
4
,andN
2
O. Of these molecules,
ozone, carbon dioxide, and water vapor absorb
solar radiation energy the most effectively. Ozone
has a strong absorption band in the ultraviolet
region (0.22 to 0.32 mm) and in the 0.6 mm, 4.7
mm, 9.6 mmand14mm spectral regions as well.
Carbon dioxide is mainly distributed in the lower
atmosphere, with absorption bands in the 1.4 mm,
1.6 mm, 2.0 mm, 2.7 mm, 4.3 mm, 4.8 mm, 5.2 mm,
and 15.0 mm spectral regions, of which the bands
at 2.7 mm, 4.3 mm, and 15 mm are strong absorp-
tion bands. Water vapor has absorption bands
at 0.94 mm, 1.1 mm, 1.38 mm, 1.87 mm, 2.7 mm,
3.2 mm, and 6.3 mm, which cover almost the entire
infrared band.
The atmospheric scattering of electromagnetic
waves is mainly divided into two categories:
selective scattering, which is further divided
into Rayleigh scattering and Mie scattering, and
nonselective scattering. When the diameter of
an atmospheric particle causing scattering is far
smaller than the wavelength of the incident elec-
tromagnetic waves, Rayleigh scattering occurs.
The scattering of visible light by oxygen,
nitrogen, and other gas molecules in the atmo-
sphere belongs to this category. The Rayleigh
scattering intensity is inversely proportional to
the fourth power of the wavelength, and the
forward scattering has equal intensity to
the backscattering. Rayleigh scattering is one of
the main causes of radiometric distortion and
TABLE 5.1 Major Atmospheric Constituents
Stable compositions Variable compositions
Composition
Volume
ratio (%) Composition
Volume
ratio (%)
N
2
78.084 H
2
O 0.04
O
2
20.948 O
3
12 10
-4
Ar 0.934 SO
2
0.001 10
-4
CO
2
0.033 NO
2
0.001 10
-4
Ne 18.18 10
-4
NH
3
0.001 10
-4
He 5.24 10
-4
NO 0.0005 10
-4
Kr 1.14 10
-4
H
2
S 0.00005 10
-4
Xe 0.089 10
-4
Nitric acid
vapor
Trace
H
2
0.5 10
-4
CH
4
1.5 10
-4
N
2
O 0.27 10
-4
CO 0.19 10
-4
5.1. ATMOSPHERIC EFFECTS 113
Advanced Remote Sensing : Terrestrial Information Extraction and Applications, edited by Shunlin Liang, et al., Elsevier Science & Technology, 2012. ProQuest
Ebook Central, http://ebookcentral.proquest.com/lib/jlu-ebooks/detail.action?docID=965002.
Created from jlu-ebooks on 2018-09-29 19:59:57.
Copyright © 2012. Elsevier Science & Technology. All rights reserved.

blurring of remote-sensing short-wave imagery.
When the diameter of the atmospheric particle
causing scattering is equal to the wavelength of
the incident waves, Mie scattering occurs. Scat-
tering by small particles and other aerosols sus-
pended in the atmosphere belongs to this
category. Forward Mie scattering is usually far
greater than its backscattering. Under general
atmospheric conditions, Rayleigh scattering plays
a dominant role; however, when Mie scattering is
superimposed on Rayleigh scattering, the sky
becomes gloomy. When the diameter of the atmo-
spheric particle causing scattering is much larger
than the wavelength of the incident waves, nonse-
lective scattering occurs, and its scattering inten-
sity is not related to the wavelength. Scattering
by clouds, fog, water droplets and dust in the
atmosphere falls into this category.
The physical matter in the atmosphere attenu-
ates electromagnetic signals due to absorption,
refraction and other phenomena. Atmospheric
effects are among the key issues in quantitative
remote sensing and they can interfere with the
quantitative application of remote sensing. The
removal of this interference is necessary in order
to quantitatively use remotely sensed data.
5.1.4. Major Aspects of Atmospheric
Correction
Atmospheric correction consists of two parts:
the estimation of atmospheric parameters and
the retrieval of surface reflectance. If the surface
is Lambertian and all of the atmospheric param-
eters are known, then remote-sensing imagery
can be calcul ated to directly retrieve the surfa ce
reflectance. Based on radiative transfer theory
and assuming that the target is a uniform
Lambertian surface, the radiance received by
a sensor at the top of the atmosphere (TOA) can
be expressed as follows:
L ¼ L
0
þ
r
1 sr
$
TF
d
p
(5.2)
where L
0
is the atmospheric radiation path in the
case of no surface reflection, T is the
transmittance from the surface to the sensor, s is
the atmospheric spherical reflectance, r is the
surface target reflectance, and F
d
is the down-
ward radiat ion flux reaching the surface. Accord-
ing to the equation, the radiance received by the
sensors that is given by L, L
0
, s, and TF
d
/p can
be calculated by the radiative transfer model
and used to calculate the surface reflectance.
As shown in Figure 5.2, MODTRAN (see
Section 5.5.1) is used to simulate the apparent
radiance within the wavelength range of
0.4e2.5 mm. For the simulation, vegetation is
used for the surface reflectance, the atmosphere
is set as a midlatitude summer, the aerosol type
is set to the rural type, the water vapor content
remains constant, and the visibility varies from
2 to 60 km. As indicated in the figure, the visi-
bility has the greatest impact on the visible spec-
trum. The radiance of the visible band gradually
decreases with the increase in visibility.
Besides particle scattering, the main absorbers
include wate r vapor, ozone, oxygen, and aero-
sols. Molecular scattering and absorption by
ozone, oxygen, and other gases are relative ly
easy to correct because the concentrations of
these elem ents are relatively stable in time and
space; however, estimating the aerosol and
water vapor parameters is rather difficult. There-
fore, removal of the impacts of aerosols and
water vapor is the main component of atmo-
spheric correction.
5.2. CORRECTING THE AEROSOL
IMPACT
Atmospheric aerosol refers to multidispersed
bodies consisting of small particles suspended
in the atmosphere, whose scale ranges between
0.001 and 10 mm. Atmospheric aerosols have
a considerable impact on the global climate.
Through their absorption and scattering of solar
and infrared radiation, they change the radiation
budget of the Eartheatmosphere system. By
absorbing and scattering radiation, aerosols can
directly interfere with the signal reception of
5. ATMOSPHERIC CORRECTION OF OPTICAL IMAGERY114
Advanced Remote Sensing : Terrestrial Information Extraction and Applications, edited by Shunlin Liang, et al., Elsevier Science & Technology, 2012. ProQuest
Ebook Central, http://ebookcentral.proquest.com/lib/jlu-ebooks/detail.action?docID=965002.
Created from jlu-ebooks on 2018-09-29 19:59:57.
Copyright © 2012. Elsevier Science & Technology. All rights reserved.
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