In the following sections, first, the bridge data used for testing is
described. Then, the entire workflow of DBM generation based
on straight and curved bridge shapes is presented and explained
step by step. The last section provides results and discussion.
2. TEST DATA
For this study, high resolution DMC aerial images and LIDAR
data of highway 161 corridor area in Franklin County, Ohio,
USA were provided by ODOT (The Ohio Department of
Transportation), shown in Figure 1. A straight bridge enclosed
in a black rectangle ROI (Region Of Interest) and a curved
bridge enclosed in a red rectangle ROI are selected as test
bridges.
Figure 1. Straight test bridge (1) and curved test bridge (2)
Using the aerial image footprint, LiDAR intensity image is
generated from LiDAR data; the image resolution is set to 1m
GSD (Ground Sample Distance). Figure 2 show the aerial image
(a) and its corresponding LiDAR intensity image (b).
(a) (b)
Figure 2. Aerial image (a) and LiDAR intensity image (b)
3. METHODOLOGY
The proposed workflow consists of four steps: derivation of
coarse DBM from LiDAR data, co-registration between aerial
and LiDAR intensity image pair, extraction of smooth
boundaries from aerial image and precise DBM generation.
3.1 Coarse DBM Generation
For our tests, the bridge ROI is manually selected in the LIDAR
intensity image which is a rasterized LiDAR point cloud,
created by using the highest intensity value of points falling in a
ground cell. 1m sample size is used to generate the LiDAR
intensity image. The relation between LiDAR intensity image
space and LiDAR data mapping system is the following 2D
transformation:
EE,
xc ED e
N-N
y > Va = GSD
where (x, y) is the image coordinate and (E, N) is the
corresponding LiDAR mapping Easting and
Northing coordinate
(xo, yo) is the image coordinate system origin,
which is defined as the upper left corner, (Eo, No)
is the corresponding LiDAR mapping Easting and
Northing coordinate
Once GSD is fixed, the bridge ROI in the LiDAR intensity
image can be easily transformed to ROI in the LiDAR data
domain, which is the 3D LiDAR ROI point cloud used to
generate the coarse DBM.
First, ground points and non-bridge points should be filtered
out. Ground points can be easily removed based on elevation
analysis. For non-bridge points having similar height as the
bridge surface, the intensity data can be used for filtering.
Nevertheless, pavement markings and/or vehicles on the bridge
may have different reflectance characteristics, and thus, those
points can be also removed which could create void areas in the
bridge surface. In addition, outlier points may also exist; see the
isolated point clusters in red ellipses in the Figure 3 (a). In order
to trim those sparse outlier points, a statistical outlier removal
filler based on statistical analysis on each point's
neighbourhood is also applied to clean the bridge points. For
each point, the 2D mean distance from it to its closest » points
is computed. It is assumed that those mean distances obey a
Gaussian distribution. Then, points with mean distances outside
the interval, defined by the global distances mean and standard
deviation, can be regarded as outliers and removed from the
bridge points; see differences between Figure 3 (a) and (b).
(a) (b)
Figure 3. Elevation/intensity filtered bridge surface (a) and
cleaned by a statistical filter (b)
3D RANSAC (Fischler and Bolles, 1981) plane estimation is
applied on those cleaned bridge points to find the robust 3D
plane parameters. Elevation of bridge points is recomputed
through the 3D plane equation using the estimated 3D plane
parameters. The newly computed points should be perfectly on
the bridge surface defined by the estimated plane. Subsequently,
concave hull boundary estimation is performed on the refined
bridge surface points, as the bridge surface has a concave shape.
In addition, points on bridge boundaries are also determined
based
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