In the previous article on obstacle avoidance (see Obstacle
Avoidance in the Real World), our robot used simple sonar and
infrared sensors to detect the presence of obstacles, then adjusted
its heading accordingly. As we saw, it takes quite a few such sensors
to handle all the possible obstacle configurations the robot might
encounter. And the reaction of the robot to the presence of an
obstacle is always fairly simple: just turn left, right or back up.
We will now try a different approach using our omnidirectional
vision system. The most obvious advantage of 360-degree vision is
that you can see your entire surroundings in a single snapshot. We
can think of each pixel in the image as a potential obstacle detector
analogous to our sonar and infrared sensors but now we have thousands
of them instead of just five or six. Of course, these pixel values
don't tell us the distance to objects like the active range sensors
do, but as we shall see, we can still develop an effective navigation
algorithm nonetheless.
The image below is a typical view through the omnidirectional
vision setup. The camera's resolution is set to 320x240 pixels and we
can see the reflection of the room in the spherical mirror, as well
as the ceiling past the edges of the mirror.
Using the RoboRealm
vision program, we can "unwrap" this image using the Polar
module, then crop the artifacts to produce a rectangular
panoramic image as shown below:
The resulting rectangular image is now 280x86 pixels, and we must
remember that the left edge of the image represents the same place in
space as the right edge. In other words, the topology of the
rectangular strip is that of a loop with straight ahead at the mid
point and straight behind at the left and right edges.
When looking at such an image, it is obvious to our own eyes where
the floor is clear and where there are obstacles. But how do we
extract that information from the image so our robot can see the same
thing? The folks over at RoboRealm have an awesome tutorial on how to
do just this. I would highly recommend checking it out at
http://www.roborealm.com/tutorial/Obstacle_Avoidance/slide010.php.
What follows is simply an elaboration of the methods described in
that tutorial and applied to 360-degree images.
One method that works well is based on edge detection. The image
below shows the result of applying RoboRealm's Prewitt edge filter
to the original image:
Note how objects are now outlined by their edges whereas the floor
is generally a featureless black. In particular, we can see that even
the relatively narrow support legs of the chair stand out
nicely—something that is often difficult to "see"
with infrared or sonar. There is also a false edge beneath the large
ball on the left which is due to the ball's shadow. We can eliminate
such artifacts by using the Auto Threshold and Clean
modules which results in the following image:
Now here comes the key step. RoboRealm has a module called Side
Fill that can be applied to any of the four edges of the image.
In this case we will apply it to the bottom edge. The Side Fill
module paints white pixels upward from the bottom edge until it runs
into a white pixel already in the image. Because we are working with
a thresholded edge map, this coincides with the first potential
obstacle in that vertical slice of the image. The picture below shows
the result:
To eliminate the narrow spikes, we use the Erode module,
then smooth the edges with the Smooth Hull module resulting in
our final image:
This image gives us a rough map of the clear areas on the floor.
This becomes clearer if we superimpose the image with our original as
follows:
Since the image is panoramic, each point along the horizontal axis
represents a possible direction of travel for the robot with straight
ahead being at the mid point and straight back corresponding to the
left/right edges. In this case, we can see that the safest direction
to go is about 90 degrees off to the left.
But how can we get a more precise heading from this image? In the
original RoboRealm tutorial, the horizontal coordinate of the highest
peak is used. However, in this case that would correspond to the
narrow peak on the right which is too narrow for our robot to pass.
Instead, we want a gap that is both deep and wide. Unfortunately,
there isn't an easy way to get this information directly from
RoboRealm. We need a way to label the points along the boundary of
our blob, and then analyze these points to give us the best gap.
RoboRealm does help us get started by using the Harris Corners
module. This module looks for "corner" points in an image
and can also be used to trace the boundary of our floor blob.
Applying it to our floor map image yields the following set of Harris
points:
The Harris Corners are represented by the green points in the
image above and correspond to those points where the contour has a
noticeable "kink". Some of these kinks are rather subtle
and we don't care so much about the kinks themselves but simply the
fact that the collection of points nicely traces the contour of our
floor map. RoboRealm can return the coordinates of these points as an
array to our controlling program where we can analyze them further.
The next picture shows the Harris points superimposed on our original
image:
This image illustrates the power of visual obstacle avoidance over
our previous approach using sonar and infrared sensors. From a single
snap shot (or frame of a video) we are able to get a 360-degree view
of our surroundings with obstacles nicely marked by Harris Corner
points. And even though we don't know the distances to these points,
we can usually assume that points higher up in the image are further
away.
The final step involves using the array of Harris Corners to
determine the best direction for our robot to move. The procedure
described here looks for a space that is wide enough for our robot to
pass and deep enough to allow for some significant forward progress.
For example, the big space on the left of the picture would be a good
candidate. The smaller space on the right would also allow some
movement but we would quickly run up against some obstacles. To
assess these spaces we proceed as follows.
Start at the left edge of the picture and move toward the right,
checking each Harris Corner as we go. Set the left boundary of our
candidate gap to our starting point. If the vertical coordinate of
the current Harris Corner is greater than some threshold, then
continue on to the next point. If it falls below the threshold,
assume we have found the right boundary of the current gap, store the
width and average depth of the current gap, and start again moving
toward the right.
Applying this algorithm to the image above yields two gaps. The
one on the left has its mid point at 95 degrees to the left, a width
of 123 pixels, and an average depth of 48 pixels. The gap on the
right is located at 114 degrees right, is 86 pixels wide and 28
pixels deep. In this case, the clear winner is the gap on the left.
Our control algorithm rotates the robot 95 degrees left, then heads
straight. As the robot moves across the floor, the analysis is
repeated for each frame of the video at a rate of about 10 frames per
second. If a set of Harris Corners directly ahead appears below our
cutoff threshold toward the bottom of the frame, we make a course
adjustment toward the middle of a new gap.
When the path ahead is clear, the placement of obstacles and
Harris points will shift as our robot moves forward. We therefore
also program the robot to adjust its heading toward the middle of the current
gap as it is moving so that it adapts to the changing shape of the
gap from one position to the next.
The following series of video clips demonstrates this algorithm in
action. All of the robot's sonar and infrared sensors are turned off
so that only vision is used for navigation. Let's see how well it
does when confronted with a floor cluttered with various objects:
Notice how well the robot avoids even the thin chair legs which
are often very difficult to detect with fixed sonar and infrared
sensors. (A panning range sensor is much better in this regard.)
The next video shows the view from the robot just after the edge
filter is applied. Here you can see how nicely objects like chair
legs stand out in the image:
The last video shows the normal view from the robot, including an
overlay of the Harris points indicating the positions of obstacles:
In conclusion, we have seen that a simple home made
omnidirectional vision system can be used to highlight obstacles in
the path of the robot. The robot can then take evasive action in the
direction of the spaces or gaps between obstacles. No other sensors
are required, although combining the visual system with sonar and
infrared sensors would yield an even more robust navigation
algorithm.
Hardware
List
In
case some of you are interested in the hardware used in the robot
featured in this tutorial, here is a list: