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laplace

Because this filter serves to enhance the features of an image, this also increases noise.

Sobel

Sobel filtering involves using two 3 by 3 matrices to convolve with the image in order to find the gradient of the image. Although this may be an inaccurate approximation, it proves effective for our needs.

Sobel

After testing with multiple files, we had come to the Gaussian filter was best suited for the current data sets. There is a convenient OpenCV function that does this, Cv2.gaussianBlur( .. ). With appropriate parameters: the width and height of the matrix that will be used to filter the image and the standard deviation of the Gaussian in the x and y directions (the greater standard deviation the less variance among the pixels after filter, i.e. greater blur)

Blurring code

Blurred Above is our blurred image.

Feature detection

The next step is to determine where the edges in the image exist. After filtering, there needs to be some way to take each character and define its features in some measurable value. Under OpenCV, we used the adaptiveThreshold function to take our image and decide whether a certain intensity value in the image should be a 0 or 1. Effectively, our processed image is currently a matrix of binary values. We have the provided helper function.

Adaptive Threshold code

In deciding whether a pixel meets the threshold there are two methods: we can use an adaptive mean filter or a Gaussian. We found a Gaussian was better.The threshold type should be cv2.THRESH_BINARY_INV which turns inverts the values-pixels deemed white become black and vice versa. This is because Open Cv’s edge finding functions find whitecharacters in black backgrounds.

Threshold Above shows the adaptive threshold of the image.

From here, we can use OpenCV's findContours method to find the edges. This will return coordinates, width, and height of a rectangle around a character. Given specific properties, some rectangles may be removed, resized, or combined to accomodate special cases.

Finding the contours

Afterwards, we call the following two helper functions, findContoursAreas() and removeOverlaps(). findContoursAreas removes countours in the list contourlist that do not meet a specified minimum height. We use this toignore small contours, like the tittles around ‘i’s and ‘j’s.

removeOverlaps goes through the rectangles list and returns a list of contours(rectangles) that do not overlap, returning the largest rectangle if overlap does occur.This is necessary because the list findContourAreas returns all countours in a image, even those that do define an actual character.For example contours that make up part of a letter like the “o” in p would beincluded in addition to the contour that we want that encloses the “p.” We then sort the list to our liking so we can read the remaining letter outlines left to right, top tobottom. We do this with trainingHelper.xsort( countour_list ). It uses a simple algorithm to sort the rectangles into sorted rows and then into columns.

Edge detection Above shows the code discovering the region of interests.

Taking each rectangle, we will create a vector to hold the features each image has. First, we use a resize method to convert each rectangle into a n by n matrix of values. The values is determined by dividing the image to n by n cells and returning the average intensity of each cell. From here, we turn the n x n matrix into a row vector. We can then add other features to this vector in order to determine the character. For example, take the average of the top half and the bottom half of the image.

ROI Code block

Classification

To classify an image, there needs to be a referenced database to compare the characters to. Our provided code solves this through the training method, which uses machine learning. Using multiple sets of pictures, we take an image, run it through all of the steps above and tell the program what the character should be. When finished, we have training data, which holds a histogram of vectors mapped to specific characters. Training data

Back to the current image, we take its feature vector and use a k-nearest neighbor algorithm to determine which vector is most similar to the one being compared. From there, we see what the vector is mapped to and return what should be the actual letter or number. OCR

And there you have it! Thank you for reading through the introduction of OCR. Feel free to look through the files, as there will be more resources to explain this topic.

Questions & Answers

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?
Eunice Reply
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
definitely of physics
Haryormhidey Reply
how many start and codon
Esrael Reply
what is field
Felix Reply
physics, biology and chemistry this is my Field
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
innocent
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
What is specific heat capacity
Destiny Reply
Specific heat capacity is a measure of the amount of energy required to raise the temperature of a substance by one degree Celsius (or Kelvin). It is measured in Joules per kilogram per degree Celsius (J/kg°C).
AI-Robot
specific heat capacity is the amount of energy needed to raise the temperature of a substance by one degree Celsius or kelvin
ROKEEB
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Source:  OpenStax, Introduction to optical character recognition. OpenStax CNX. Dec 17, 2014 Download for free at http://legacy.cnx.org/content/col11728/1.1
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