The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences. Vol. XXXVII. Part Bl. Beijing 2008
downward continuation process. Using Stokes' formula, the
geoid undulation is determined from the downward continued
gravity anomaly Ag . The downward continuation can be
applied to either the airborne gravity anomaly or the disturbing
potential at the acquisition altitude. As shown in Figure 7, the
global geopotential model is used as a reference for the local
gravity while the airborne gravity measurements from the
airborne inertial gravity system are used to densify the local
gravity information, i.e. provide the high frequency gravity
variations. For the geoid determination, the terrain correction to
the gravity anomaly is needed. This can be done either using
available terrain models or from the interferometric DTE. The
details of Intermap airborne gravity and geoid mapping system
can be found in Wei and Tennant, 1999&2000.
Figure 7: Diagram of STARGRAV process
3.2 Airborne Gravity and Geoid Mapping Results
To assess the accuracy of the airborne gravity anomaly
estimates, independent upward continued ground gravity data
were compared to the airborne gravity anomaly at the flight
altitude. Independent ground gravity anomalies in the
Washington DC area are available through the NGS US and are
terrain corrected free air anomalies of 2'x2' grid. Figure 8 shows
the survey site in the Washington area. To evaluate the
performance of the Intermap AIGS solution, the NGS ground
gravity anomaly is first upward continued to the flight altitude
by using the Poisson’s integral. The terrain correction is applied
to the airborne gravity data.
Figure 8: Airborne gravimetry test area
Figure 9 shows the airborne gravity anomaly filtered by a 120-
second filtering compared to the upward continued ground
gravity anomaly. The standard deviations of the differences
between the measured airborne gravity anomaly and the upward
continued gravity anomaly are about 1 - 2 mGal (1 <7 ) for 16
flight lines. Similar airborne gravity results from the STAR
AIGS in other survey areas can be found in Wei and Tennant
(1999).
Using Stokes’ integral the residual geoid undulation is
computed from the downward continued residual gravity
anomaly. The precise geoid undulation is determined by
applying the restore procedure to the residual geoid undulation.
The local geoid determined by the airborne gravity data is
compared to the geoid G96SSS from NGS. Figure 10 shows the
difference of the local geoid determined by the airborne gravity
data and the geoid G96SSS from NGS. The standard deviation
of the difference of the geoid undulation is 5.6 cm, as shown in
Table 3.
number of data
Figure 9: Comparison to upward continued ground gravity data
'-50 0 50
S-coordinate (km)
Figure 10: Difference of geoid undulation (m)
Type of Comparison
Mean
Std.
Airborne gravity anomaly (mGal)
-0.33
2.86
Ground gravity anomaly (mGal)
-0.16
2.63
Geoid undulation (meter)
-0.164
0.056
Table 3: Statistics of airborne gravity and geoid results
3.3 Integrated Airborne Mapping System
Using IFSAR technology, Intermap's STAR systems provide a
new generation of digital elevation models (DEMs) and
orthorectified radar image (ORRI) maps. Because the Global
Positioning System (GPS) is used as the position reference for
STAR system, the terrain heights provided by STAR system are
referenced to an ellipsoid. They must then be referenced to an
orthometric or mean sea level height, to be consistent with