The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences. Vol. XXXVII. Part B6b. Beijing 2008
Where e m 6 =manmade material emissivity in band b
/ v =fraction of vegetation in a pixel
f m =fraction of vegetation manmade material in a pixel
Many researches prove spectral curve of different vegetation
and water is almost same in TIR region (Mao et al., 2007; Nerry
et al., 1990; Rubio et al., 1997; Sobrino et al., 2001; Sobrino et
al., 2004; Stathopoulou & Cartalis, 2007). In this research,
vegetation emissivity e v and water emissivity e w is valued as
0.985 and 0.990, respectively. Manmade land surface emissivity
is obtained by using spectral database provided by Jet
propulsion laboratory (http://speclib.jpl.nasa.gov). After
analyzing 46 kinds (including 6 kind concrete materials, 17 kind
General Construction Materials, 5 kind Road Asphalts and Tar
and 18 kind Roofing Materials) manmade material emissivity
(Fig. 3), we utilize mean emissivity of concrete, general
construction materials and road asphalts and tar materials in
Eq.3. Because central business distinct building and
surrounding of it in study area are covered by concrete. And
residential is almost constructed by brick. Road is covered by
asphalts and tar.
Concete
Figure 3. Mean emissivity of manmade sample
2.4 Results and Discussion
Band NO.
Spectral Range (pm)
RMSE
Band10
8.125-8.475
0.101
Bandi 1
8.475-8.825
0.095
Band12
8.925-9.275
0.218
Bandi3
10.25-10.95
0.094
Band14
10.95-11.65
0.095
Table 1. RMSE of the whole study area
Result shown in Tab.l indicates our model has a larger RMSE
in band 12 and band 10. This maybe because emissivity in
8.925pm~9.275pm and 8.125pm ~8.475pm is much more
variable, especial for manmade materials. Sample emissivities
in these spectral ranges prove it as Fig. 3 seen:
Bandi0 Bandii
Band 14
In order to analyze the emissivity obtained from unmix method,
results were resampled to 90m resolution (Fig. 4), and then
compared with ASTER emissivity product. Evaluation of this
algorithm is done by using RSME (Root Mean Square Error)
expressed as equation 4:
RMSEb =
M N
m=1 «=1
(4)
Where RMSE b = Root Mean Square Error of band h
e m „=emissivity of pixel location at (m,n) baesd on
unmixing algorithm
£ m =ASTER product emissivity of pixel location at
Figure 4. Emissivity results of the model in different band
Assumption of this model can also contribute to RMSE. First,
we describe the most suitable condition in a pixel (without
scattering between distinct land features and temperature is the
same of them). The fact is scattering exits between features and
temperature of them is of difference due to their different
attributes. Second, just three kinds of manmade materials’
(concrete, general construction materials and road asphalts and
tar) mean emissivity is utilized in the model. But emissivity of
these materials has a range. Third, soil is not in consideration
for this algorithm. And it maybe shown in some place, such as
constructing area, park, and so on. Last, result of this method
depends on LSMA. LSMA is computed by part constrained
least-squares approach, leading to fraction of some feature
larger than 1 and some lower than 0. When this problem
countered, we will make the fraction equal to 1 or to 0, which
also can make an error.