DEM GENERATION FROM HIGH RESOLUTION SATELLITE IMAGES THROUGH A NEW 3D LEAST SQUARES MATCHING ALGORITHM
International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, Volume XXXVIII-4/W19, 2011
ISPRS Hannover 2011 Workshop, 14-17 June 2011, Hannover, Germany
DEM GENERATION FROM HIGH RESOLUTION SATELLITE IMAGES THROUGH A
NEW 3D LEAST SQUARES MATCHING ALGORITHM
Taejung Kim, Sooahm Rhee
Department of Geoinformatic Engineering, Inha University, 253 Yonghyun-Dong, Namgu, Incheon Korea
,
Commission I, WG I/4
KEY WORDS: Matching, DEM, Least Squares Estimation, High Resolution Satellite images
ABSTRACT:
Automated generation of digital elevation models (DEMs) from high resolution satellite images (HRSIs) has been an active research
topic for many years. However, stereo matching of HRSIs, in particular based on image-space search, is still difficult due to
occlusions and building facades within them. Object-space matching schemes, proposed to overcome these problem, often are very
time consuming and critical to the dimensions of voxels. In this paper, we tried a new least square matching (LSM) algorithm that
works in a 3D object space. The algorithm starts with an initial height value on one location of the object space. From this 3D point,
the left and right image points are projected. The true height is calculated by iterative least squares estimation based on the grey level
differences between the left and right patches centred on the projected left and right points. We tested the 3D LSM to the Worldview
images over ‘Terrassa Sud’ provided by the ISPRS WG I/4. We also compared the performance of the 3D LSM with the correlation
matching based on 2D image space and the correlation matching based on 3D object space. The accuracy of the DEM from each
method was analysed against the ground truth. Test results showed that 3D LSM offers more accurate DEMs over the conventional
matching algorithms. Results also showed that 3D LSM is sensitive to the accuracy of initial height value to start the estimation. We
combined the 3D COM and 3D LSM for accurate and robust DEM generation from HRSIs. The major contribution of this paper is
that we proposed and validated that LSM can be applied to object space and that the combination of 3D correlation and 3D LSM can
be a good solution for automated DEM generation from HRSIs.
We believe that the reason for the failure of producing DEMs of
good quality lies in matching schemes. Most of stereo matching
algorithms proposed for HRSIs are based on image-space search.
For an image point within a reference image, its corresponding
image point within a target image is searched for (Lee et al.,
2003). This scheme may work well with medium resolution
images, where the singularities are rarely observed. This scheme,
however, is vulnerable for HRSIs, where image points often lie
on the singularities. To overcome this problem, we believe that
matching has to be performed in an object space with a more
intelligent correspondence search scheme.
1. INTRODUCTION
Understanding the exact shape of the earth surface has been one
of the primary goals of the modern science. It will enable
precise biophysical study of the earth environments and
accurate analysis of human effects on the earth environments.
Very powerful sources to capture the earth surface shape are
high resolution satellite images (HRSIs). They are free from
accessibility and can be obtained globally consistently. They
offer cost-effective and visible data to model the earth surface.
Hence, automated generation of DEMs from HRSIs has been an
active research topic for many years.
On the other hands, object-space matching schemes define
voxels within a 3D object space, project each voxel onto the left
and right image spaces, and check similarities by grey-level
correlation. Often they are very time consuming and critical to
the dimensions of voxels. This method may not produce better
performance to the matching algorithms based on the image
space.
It is known that stereo matching of HRSIs is difficult due to
singularities caused by the intrinsic nature of them, such as
occlusions and building facades (Kim, 2005). Height profiles
generated from HRSIs are often very crude and contain
blunders or holes. In many occasions there is little improvement
in DEMs from HRSIs compared to those from medium
resolution images. For this reason multiple optical images
(Okutomi and Kanade, 1996; Gruen and Baltsavias, 1998),
instead of two, or other data sources, such as laser scanner data
and differential SAR data, are utilized for DEM generations.
In this paper, we tried a new least square matching (LSM)
algorithm that works in a 3D object space. The algorithm starts
with an initial height value on one location of the object space.
From this 3D point, the left and right image points are projected.
The true height is calculated by iterative least squares
estimation based on the grey levels of the left and right patches
centred on the projected left and right points. This 3D LSM can
overcome the problems of the image space matching since the
projected image points will not lie on the singularities. The 3D
LSM will overcome the problems of the conventional object
space matching algorithms since there is no need to define the
voxel dimensions.
In this paper, we report our work on automated DEM generation
from stereo pairs of HRSIs. We are pursuing our research under
the activities of the ISPRS WG I/4 on ‘benchmarking and
quality analysis of DEM generated from high and very high
resolution optical stereo satellite data’ and we report our interim
results. We propose a new matching scheme for automated
DEM generation that utilizes least squares correlation matching
in an object space. We compare the new matching scheme with
existing ones and combine them together for reliable DEM
extraction.
153
International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, Volume XXXVIII-4/W19, 2011
ISPRS Hannover 2011 Workshop, 14-17 June 2011, Hannover, Germany
We tested the 3D LSM to the Worldview images over ‘Terrassa
Sud’ provided by the ISPRS WG I/4. We compared the
performance of the 3D LSM with the correlation matching
based on 2D image space, (Lee et al., 2003) and a correlation
matching based on 3D object space. The accuracy of the DEM
from each method was analysed against the ground truth. Test
results showed that 3D LSM offers more accurate DEMs over
the conventional matching algorithms. Results also showed that
3D LSM is sensitive to the accuracy of initial height value to
start the estimation. We combined the 3D correlation matching
and 3D LSM for accurate and robust DEM generation from
HRSIs.
According to equation (1), we can compute the differential
equations of image coordinate by equation (4).
(4)
A combination of equation (3)-(4) yields
(5)
2. 3D LEASET SQUARES MATCHING METHOD
This section describes a new least square matching method
based on the 3D object space, 3D LSM. The LSM based on the
2D image space (2D LSM) is a well-known method to prod (...truncated)