Goal
The goal of this lab was to
introduce us to the preprocessing skill of geometric correction. The lab was
structured to develop our skills on the two major types of geometric
correction: Image-to-map and image-to-image rectification through polynomial
transformation.
Objectives:
1.
Use a 7.5 minute digital raster graphic (DRG) image of the
Chicago Metropolitan Statistical Area to correct a Landsat TM image of the same
area using ground control points (GCPs) from DRG to rectify the TM image.
2.
Use a corrected Landsat TM image for eastern Sierra Leone to
rectify a geometrically distorted image of the same area.
Methods
Image-to-Map Rectification
I opened the
provided Chicago.drg.img, which is a USGS 7.5 minute digital raster graphic
covering part of Chicago (see figure 1).
Figure 1 This is a USGS 7.5 minute digital raster graphic (DRG)
covering part of the Chicago region and adjacent areas. The subset is to show
detail.
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To rectify the image Chicago_2000
to the Chicago DRG, I used the Multipoint Geometric
Correction tool under Multispectral/Ground
Control Points in the ERDAS Imagine interface. The Multipoint Geometric
Correction window contains 2 panes. On the left is the input image (Chicago_2000.img),
while the reference image is on the right pane (Chicago_drg.img). Each of
these panes contains three windows. The top left and top right panes show the
entire input and reference images respectively. The other two central top panes
shows the areas that are zoomed into on the input image and also that zoomed
into on the reference image.
See figure two for a close up
view.
Figure 2 The Multipoint
Geometric Correction window with the input image (Chicago_2000.img) and
reference image (Chicago_drg.img).
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I chose four sets of ground
control points (GCPs) to align the aerial image “Chicago_2000.img” with the
reference image (“chicage_drg.img”). Though only three GCPs are necessary for a
first order polynomial, it is wise to collect more than the minimum required
GCPs in geometric correction in order for the output image to have a guaranteed
good fit. Figure 3 displays the Multipoint Geometric Correction window. The
table at the bottom indicates the RMS (Root Mean Square) Error for the
individual points and for the image in total. Notice the RMS error is below
0.5, which means the ground control points are accepted as accurate by industry
standards.
Figure 3 The Multipoint Geometric Correction
window after placement of the ground control points. The RMS Error is less than
0.5.
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For further explanation of the process, Chicago_drg.img served as the
reference map to which we rectified/georeferenced the Chicago_2000 image. Using
points from the reference image, a list of GCPs were created that were used to register the aerial
image to the reference image in a first order transformation. This works to anchor
the aerial image down to a known location; the reference image already had a
known source and geometric model. We then used a computed transformation matrix
to resample the unrectified data.
The
interpolation used was the nearest neighbor method wherein each new pixel in
the output image is assigned to the pixel nearest it in the input image.
Matrices consist
of coefficients that are used in polynomial equations to convert the coordinates
of the input image. A 1st-order transformation was used because the aerial
image was already projected onto a plane but not rectified to the desired map
projection.
Image-to-Image Rectification
Part two involved doing the rectification
process again, this time with two images instead of an image and a map. A third
order polynomial transformation was required because of the extent of the
distortion, and third order transformations require at least 10 GCPs.
For further explanation of higher order
transformations, click here.
Figure 4 The Image-to-image transformation with twelve GCPS. Notice that the total RMS Error is below 0.05. |
Results
Through this laboratory
exercise, I developed skills in Image-To-Map and Image-to-Image rectification
methods of geometric correction. This type of preprocessing is one that is
commonly performed on satellite images before data or information is extracted
from the satellite image. The results of the rectification processes can be
seen below in figures five and six.
Figure 5 The image-to-map rectified image of Chicago and the surrounding area.
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Figure 6 My rectified image
compared to the Sierra Leone image that was used as the reference in the
transformation process. The color of my image is washed out, but the
orientation appears accurate.
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Data sources
Data used in this lab was provided by Dr. Cyril
Wilson and collected from the following sources:
Satellite images are from Earth
Resources Observation and Science Center, United States
Geological
Survey.
Digital raster graphic (DRG) is from Illinois Geospatial
Data Clearing House.