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CALIBRATION STRATEGY FOR THE MEDUSA CAMERA SYSTEM
K. Nackaerts *, J. Everaerts, R. Choi, B. Delauré, T. Van Achteren, J. Biesemans,
Vito/TAP, Flemish Institute for Technological Research/Remote Sensing Research Unit, Boeretang 200, BE-2400
Belgium - (kris.nackaerts;jurgen.everaerts;bavo.delaure;tanja.vanachteren;jan.biesemans)@vito.be
Commission I, WG 1/4
KEY WORDS: Optical, Sensor, Calibration, Camera, Bundle, High Resolution
ABSTRACT:
The MEDUSA camera system is a high resolution earth observation instrument designed to operate from a long endurance UAV
flying at stratospheric altitudes. Due to the technical constraints imposed on the instrument regarding mass, power and dimensions,
the MEDUSA instrument shall experience large temperature variations induced by its varying environment in which it is operated.
The induced physical changes of the optical system (lenses and opto-mechanics) imply that the parameters of the geometric camera
model of the MEDUSA instrument cannot be assumed to be constant. Generating geometric “correct” images under those
circumstances requires a calibration procedure which is able to respond to this dynamic behaviour.
This paper presents the calibration strategy for the MEDUSA instrument which is based on a full in-flight self-calibration with block
bundle adjustment. A theoretical estimate of the geometrical accuracy of MEDUSA images has been explored. Based on this
approach a first sensitivity check to certain temperature variations within the optical system has been addressed. A more detailed
study has started making use of a refined image simulator based on the collinearity equations, a camera model and image distortion
models. First preliminary results of this approach show the geometric accuracy over the complete image within different temperature
windows for a camera model with constant parameters.
1. INTRODUCTION
The PEGASUS (Policy support for European Government by
Acquisition of information from Satellite and UAV-bome
Sensors) project aims to fill in the gaps that conventional Earth
observation cannot provide in terms of spatial and temporal
aspects (Everaerts, 2004). It uses a High Altitude Long
Endurance (HALE) Unmanned Aerial Vehicle (UAV), called
Mercator-1, which will ultimately fly at stratospheric altitudes
persistently for weeks and even months. To do this, the platform
is powered by solar energy during daytime and high capacity
batteries during the night. The airplane design is largely driven
by mass minimization where the use of lightweight composite
material allowed to realize a total mass of about 30 kg. In order
to accomplish disaster monitoring and large-scale mapping as
its first phase target applications for the Pegasus project, a high
resolution camera system, MEDUSA (Monitoring Equipment
and Devices for Unmanned Systems at high Altitude), is being
developed by a consortium led by VITO (Delauré 2007, Van
Achteren 2006, 2007).
The MEDUSA camera system is designed to deliver imagery in
the visual spectrum with a spatial resolution of 30 cm from an
altitude of 18km and covers a swath of 3 km.
The technical constraints which the MEDUSA instrument is
facing, are severe due to the restricted payload capacity of
Mercator-1: no more than 2.5 kg total system mass, fitting
within a horizontally oriented cylinder of 12 cm diameter and 1
m in length, consuming less than 50 W of electrical power.
Apart from those limitations the environmental conditions of
the stratosphere are an important factor to be taken into account
in the instrument development process. Since the variation of
the environmental parameters induce physical changes of the
optical system, the interior parameters (e.g. focal length,
principal point coordinates, etc) of the optical system are
expected to vary accordingly. Calibration of MEDUSA needs to
take the consequences of these constraints into account. In this
paper, we discuss the geometric calibration strategy.
2. MEDUSA INSTRUMENT
2.1 Top-level system requirements
The MEDUSA instrument is designed for large scale mapping
and disaster monitoring. The top-level system requirements of
the MEDUSA camera are summarized in Table 2-1.
Ground resolution
30 cm (@ 18 km ) or less
Spectral range
400 - 650 nm (RGB)
Swath width
3000 m (>= 10 000 pixels)
SNR
100 @ 8:00 am equinox
Sensor type
Frame
Shutter
Electronic
Forward overlap
60% max
RF downlink range
150 km from the ground
station
Table 2-1 MEDUSA system requirements
* Corresponding author.