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Approach i: template matching only

In the template matching algorithm, a sign template is correlated with a larger image that may or may not include the sign. We used the MATLAB function normxcorr2 to correlate the template and image.  Though template matching works perfectly when a smaller reference image is directly cropped from the larger image, in practice we would not have the cropped image.  Thus, our first task was to choose a general reference image.  After finding a good reference image, our second task was to write a program that would find the correlation for many image:reference ratios which would then allow us to estimate the size of the sign within the larger image. This is necessary because we don't know the size of the stop sign in the larger image and if the template is the wrong size there will not be a high correlation even if the template is in the image.

We implemented the template matching algorithm on stop signs first.  The first template tried for stop signs was stop signs with a black background (fig. 1).  This template yielded results of ~75% stop signs detected.  We saw improved results, ~85% signs detected, if instead of using a template with the entire sign, we used a template that was a rectangular red box with the word “stop” (fig. 2).  This is because the area around the edge of the stop sign in the image was significantly different than the template with a purely black background leading to lower correlation values.  

picture of a stop sign with a black background

picture of the STOP of a stop sign

When a full speed limit sign with a single speed was used for the general template, we lost accuracy because the difference in the speed limits themselves (i.e. 55 vs. 40) reduced the correlation.  The top half of a speed limit sign (fig. 3) proved to be a much better template and we were able to detect a majority of speed limit signs (~85%).  We were also able to successfully implement our code on do not enter and one way signs.

picture of the top half of a speed limit sign

If a template is a different size than the sign within the larger image, the sign will not be detected.  To solve this problem we calculated the correlation of the template and image for many different template/image ratios. We scaled down the image as oppose to scaling up the template to cut down on computation time. When a sign is present and when the template and image have the correct ratio, there is a spike in the correlation values (fig. 4). When no sign that matches the template is present, there is not spike in correlation (fig. 5).  By looking at the scaling of highest correlation we are able to estimate the size of the sign and by looking at the point of highest correlation for this ratio we are able to determine the location of the sign.

graph of correlation as size is scaled, there is a sharp peak in the correlation when the reference image is the same size as the stop sign in the image

graph of correlation as the image is scaled, there is no peak and the stop sign was not found

Sign Reference Percentage Above Threshold
Stop Stop 90%
Speed Limit Stop 0%
Do Not Enter Stop 33%
One Way Stop 66%

Approach ii: edge detection only

In the Edge Detection algorithm, regions of the image are found and then put through another algorithm that determines if they are a part of the sign.  We used the MATLAB function edge to find the boundaries of the objects in the image (fig. 6) and then used the MATLAB function regionprops to find regions within the image.  

Questions & Answers

what does the ideal gas law states
Joy Reply
Three charges q_{1}=+3\mu C, q_{2}=+6\mu C and q_{3}=+8\mu C are located at (2,0)m (0,0)m and (0,3) coordinates respectively. Find the magnitude and direction acted upon q_{2} by the two other charges.Draw the correct graphical illustration of the problem above showing the direction of all forces.
Kate Reply
To solve this problem, we need to first find the net force acting on charge q_{2}. The magnitude of the force exerted by q_{1} on q_{2} is given by F=\frac{kq_{1}q_{2}}{r^{2}} where k is the Coulomb constant, q_{1} and q_{2} are the charges of the particles, and r is the distance between them.
Muhammed
What is the direction and net electric force on q_{1}= 5µC located at (0,4)r due to charges q_{2}=7mu located at (0,0)m and q_{3}=3\mu C located at (4,0)m?
Kate Reply
what is the change in momentum of a body?
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what is a capacitor?
Raymond Reply
Capacitor is a separation of opposite charges using an insulator of very small dimension between them. Capacitor is used for allowing an AC (alternating current) to pass while a DC (direct current) is blocked.
Gautam
A motor travelling at 72km/m on sighting a stop sign applying the breaks such that under constant deaccelerate in the meters of 50 metres what is the magnitude of the accelerate
Maria Reply
please solve
Sharon
8m/s²
Aishat
What is Thermodynamics
Muordit
velocity can be 72 km/h in question. 72 km/h=20 m/s, v^2=2.a.x , 20^2=2.a.50, a=4 m/s^2.
Mehmet
A boat travels due east at a speed of 40meter per seconds across a river flowing due south at 30meter per seconds. what is the resultant speed of the boat
Saheed Reply
50 m/s due south east
Someone
which has a higher temperature, 1cup of boiling water or 1teapot of boiling water which can transfer more heat 1cup of boiling water or 1 teapot of boiling water explain your . answer
Ramon Reply
I believe temperature being an intensive property does not change for any amount of boiling water whereas heat being an extensive property changes with amount/size of the system.
Someone
Scratch that
Someone
temperature for any amount of water to boil at ntp is 100⁰C (it is a state function and and intensive property) and it depends both will give same amount of heat because the surface available for heat transfer is greater in case of the kettle as well as the heat stored in it but if you talk.....
Someone
about the amount of heat stored in the system then in that case since the mass of water in the kettle is greater so more energy is required to raise the temperature b/c more molecules of water are present in the kettle
Someone
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Haryormhidey Reply
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what is field
Felix Reply
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ALIYU
field is a region of space under the influence of some physical properties
Collete
what is ogarnic chemistry
WISDOM Reply
determine the slope giving that 3y+ 2x-14=0
WISDOM
Another formula for Acceleration
Belty Reply
a=v/t. a=f/m a
IHUMA
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Adah
pratica A on solution of hydro chloric acid,B is a solution containing 0.5000 mole ofsodium chlorid per dm³,put A in the burret and titrate 20.00 or 25.00cm³ portion of B using melting orange as the indicator. record the deside of your burret tabulate the burret reading and calculate the average volume of acid used?
Nassze Reply
how do lnternal energy measures
Esrael
Two bodies attract each other electrically. Do they both have to be charged? Answer the same question if the bodies repel one another.
JALLAH Reply
No. According to Isac Newtons law. this two bodies maybe you and the wall beside you. Attracting depends on the mass och each body and distance between them.
Dlovan
Are you really asking if two bodies have to be charged to be influenced by Coulombs Law?
Robert
like charges repel while unlike charges atttact
Raymond
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Source:  OpenStax, Street sign detection with template matching and edge detection methods. OpenStax CNX. Dec 19, 2011 Download for free at http://cnx.org/content/col11387/1.1
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