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contours; A graph based shape descriptor will be shown based on the saliency
points of the difference and in-layer features; finally, we prove the methods ca-
pabilities for finding structural changes on remote sensing images.
2
Change Detection with Harris Keypoints
2.1 Harris Corner Detector
The detector was introduced by Chris Harris and Mike Stephens in 1988 [15]. The
algorithm based on the principle that at corner points intensity values change
largely in multiple directions. By considering a local window in the image and
determining the average changes of image intensity result from shifting the win-
dow by a small amount in various directions, all the shifts will result in large
change in case of a corner point. Thus corner can be detected by finding when
the minimum change produced by any of shifts is large.
The method first computes the Harris matrix (
M
) for each pixel in the image.
Then, instead of computing the eigenvalues of
M
,an
R
corner response is defined:
Tr
2
(
M
)
R
=
Det
(
M
)
−
k
∗
(1)
This
R
charasteristic function is used to detect corners.
R
is large and positive
in corner regions, and negative in edge regions. By searching for local maximas
of a normalized
R
, the Harris keypoints can be found. Normalizing makes
R
smoother and only major corner points are detected.
R
could also be used for
edge detection:
function is large and positive in corner and also positive but
smaller in edge regions, and nearly zero in flat regions. We used this function
in our later work. Figure 1 shows the result of Harris keypoint detection. On
Figure 1(b) light regions shows the larger
R
values, so keypoints will be detected
in these areas (Figure 1(c)).
|
R
|
2.2 Change Detection
The advantage of Harris detector is its strong invariance to rotation and the
R
characteristic function's invariance to illumination variation and image noise.
Therefore it could be used eciently for change detection in airborne images. In
(a) Original
(b) R function
(c) Keypoints
Fig. 1.
Operation of Harris detector: Corner points are chosen as the local maximas of
the
R
characteristic function
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