2918 IEEE TRANSACTIONS ON GEOSCIENCE AND REMOTE SENSING, VOL. 43, NO. 12, DECEMBER 2005
Potential of Getis Statistics to Characterize the
Radiometric Uniformity and Stability of
Test Sites Used for the Calibration of
Earth Observation Sensors
Abderrazak Bannari, K. Omari, P. M. Teillet, and G. Fedosejevs
Abstract—The calibration of airborne and satellite remote
sensing sensors is a fundamental step for the rigorous validation of
products derived from satellite data. Because of the inaccessibility
of Earth Observation Satellites on orbit, the direct calibration
method based on a test site with ground reference data is often
considered necessary. However, the problem of radiometric spa-
tial uniformity and temporal stability of test sites constitutes an
important issue in the accuracy achieved in calibration operations
and the long-term characterization of satellite sensor radiometry.
Generally, the coefficient of variation and semivariograms are the
most widely used tools for evaluating the radiometric uniformity
and stability of a calibration site. In this study, we analyze for
the first time the potential of Getis statistics compared to the
coefficient of variation for the study of the radiometric spatial uni-
formity and temporal stability of the Lunar Lake Playa, Nevada
(LLPN) test site. The results obtained show the potential and the
importance of the synergy generated by these two methods for
analyzing the radiometric temporal stability of the LLPN site.
Getis statistics provide an excellent spatial analysis of the site while
the coefficient of variation provides complementary information
on the temporal evolution of the site.
Index Terms—Coefficient of variation (CV), Getis statistics,
Lunar Lake Playa, Nevada (LLPN), optical sensor, radiometric
calibration, test sites.
I. INTRODUCTION
D
URING the last three decades, the demand for remote
sensing products has increased tremendously, particularly
for the management of natural resources and more generally for
environmental. Moreover, the surveillance of the Earth’s en-
vironment at the local, regional, continental, or global scales
using various sensors requires adequate radiometric calibration
in order to have accurate and reproducible geophysical and bio-
physical surveys through time [4]. Consequently, significant er-
rors can spread through all subsequent image processing oper-
Manuscript received October 11, 2004; revised April 20, 2005. This work
was supported by the Natural Sciences and Engineering Research Council of
Canada.
A. Bannari and K. Omari are with the Remote Sensing and Geomatics of En-
vironment Laboratory, Department of Geography, University of Ottawa, Ottawa,
ON K1N 6N5, Canada (e-mail: abannari@uottawa.ca).
P. M. Teillet is with the Remote Sensing and Geomatics of Environment Labo-
ratory, Department of Geography, University of Ottawa, Ottawa, ON K1N 6N5,
Canada and also with the Canada Centre for Remote Sensing, Ottawa, ON K1A
0Y7, Canada.
G. Fedosejevs is with the Canada Centre for Remote Sensing, Ottawa, ON
K1A 0Y7, Canada.
Digital Object Identifier 10.1109/TGRS.2005.857913
ations, including spatial and multitemporal analyses, thematic
classifications, and the generation of vegetation indexes [15],
[18], [29], [36], [42]. To get the maximum from satellite and
airborne data-derived products, sensors must constantly be cal-
ibrated, the data validated, and the stability and quality of data
ensured [3], [42].
The radiometric performances of Earth Observation Satel-
lite sensors change between calibration in the laboratory before
launch and on orbit operations [9], [35], [21], [24]. The spectral
response characteristics of sensor bandpasses, mirror surfaces,
and optical elements can also change postlaunch and over the
lifetime of the mission [11], [21], [37]. Therefore, it is normal
to view with suspicion any postlaunch change in the relative
and absolute sensor calibration parameters and to question the
quality of any onboard calibration systems (lamps, solar sen-
sors, etc.). With or without change, spectral response character-
istics are an important consideration in radiometric cross-cali-
bration between sensors [38], [40].
In general, the calibration of instruments dedicated to Earth
observation is not an easy task. To increase the accuracy of this
operation, it is advisable to use several independent methods [9].
Different methods have been used for the relative and absolute
calibration of optical sensors: calibration in laboratory before
launch in a well-controlled environment; onboard calibration
using a lamp, a sphere, a solar diffusion panel, or a solar sensor;
calibration through lunar observation; calibration using ground
sites with simultaneous ground reference data; calibration using
pseudoinvariant features on the ground without independent
reference data, interinstrument, and interband calibration [16],
[19], [20], [35], [42], [44]. Because of the inaccessibility of
the satellite on orbit, the vicarious calibration method based
on a ground site using simultaneous ground reference data is
often considered an essential step to ensure the best “accuracy
versus investment” compromise [16], [35]. The method has
the advantage of reproducing the real conditions of image data
acquisition. Its accuracy depends closely on the radiometric
stability of the calibration site, site reflectance measurements,
and knowledge of the atmospheric parameters at the time of
image acquisition. In the best conditions of site and measure-
ment stability, it ensures a calibration accuracy in the range of
to [9], [46], [47]. It should also be noted that these
operations concern the space agencies or the organizations
responsible for the dissemination of the remote sensing data
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