Author: Alex CherkasovEmail: info@xpidea.comEnvironment: C#, VS 7Keywords: neural, network, OCR, neuro, neuro net, BackpropagadationLevel: IntermediateDescription: How the use of neural network can simplify coding of OCR application.Section: MiscellaneousSubSection: General

A lot of people today are trying to write their own OCR (Optical Character
Recognition) System or to improve the quality of an existing one.
This article shows how the use of artificial neural network simplifies
development an optical character recognition application while achieving highest
quality of recognition and good performance.
Developing proprietary OCR system is complicated task and
requires a lot of efforts. Such systems usually are really complicated and can
hide a lot of logic behind the code. The use of artificial neural network in
OCR application can dramatically simplify the code and improve quality of
recognition while achieving good performance. Another benefit of using neural
network in OCR is extensibility of the system – ability to recognize more character
sets than initially defined. Most of traditional OCR systems are not extensible
enough. Why? Because such task as working with tens of thousands Chinese
characters, for example, is not as easy as working with 68 English typed
character set and it can easily bring the traditional system to its knees!
Well, the Artificial Neural Network (ANN) is a wonderful
tool that can help to resolve such kind of problems. The ANN is an
information-processing paradigm inspired by the way the human brain processes
information. Artificial neural networks are collections of mathematical models
that represent some of the observed properties of biological nervous systems
and draw on the analogies of adaptive biological learning. The key element of
ANN is topology. The ANN consists of a large number of highly interconnected
processing elements (nodes) that are tied together with weighted
connections (links). Learning in biological systems involves
adjustments to the synaptic connections that exist between the neurons. This is
true for ANN as well. Learning typically occurs by example through training, or
exposure to a set of input/output data (pattern) where the
training algorithm adjusts the link weights. The link weights store the
knowledge necessary to solve specific problems.
Originated in late 1950's, neural networks didn’t gain much
popularity until 1980s – a computer boom era. Today ANNs are mostly used for
solution of complex real world problems. They are often good at solving
problems that are too complex for conventional technologies (e.g., problems
that do not have an algorithmic solution or for which an algorithmic solution
is too complex to be found) and are often well suited to problems that people
are good at solving, but for which traditional methods are not. They are good
pattern recognition engines and robust classifiers, with the ability to
generalize in making decisions based on imprecise input data. They offer ideal
solutions to a variety of classification problems such as speech, character and
signal recognition, as well as functional prediction and system modeling where
the physical processes are not understood or are highly complex. The advantage
of ANNs lies in their resilience against distortions in the input data and
their capability to learn.
In this article I use a sample application from Neuro.NET
library to show how to use Backpropagation neural network in a simple OCR
application.
Let’s assume you that you already have gone through all
image pre-processing routines (resampling, deskew, zoning, blocking etc.) and
you already have images of the characters from your document. (In the example I
simply generate those images).
Let’s construct the network first. In this example I use a Backpropagation neural network. The Backpropagation network is a multilayer perceptron model with an input layer, one or more hidden layers, and an output layer.
The nodes in the Backpropagation neural
network are interconnected via weighted links with each node usually connecting
to the next layer up till the output layer which provides output for the
network. The input patterns values are presented and assigned to the input
nodes of the input layer. The input values are initialized to values between -1
and 1. The nodes in the next layer receive the input values through links and
compute output values of their own, which are then passed to the next layer.
These values propagate forward through the layers till the output layer is
reached, or put another way, till each output layer node has produced an output
value for the network. The desired output for the input pattern is used to
compute an error value for each node in the output layer, and then propagated
backwards (and here's where the network name comes in) through the network as
the delta rule is used to adjust the link values to produce better the desired
output. Once the error produced by the patterns in the training set is below a
given tolerance, the training is complete and the network is presented new
input patterns and produce an output based on the experience it gained from the
learning process.
I will use a library class BackPropagationRPROPNetwork to construct my own OCRNetwork.
//Inherit form Backpropagation neural networkpublic class OCRNetwork: BackPropagationRPROPNetwork { //Override method of the base class in order to implement our //own training method public override void Train(PatternsCollection patterns) { ... }}
I override the Train method of the base class to implement my own training method. Why do I need to do it? I do it because of one simple reason: the training progress of the network is measured by quality of produced result and speed of the training. You have to establish the criteria when the quality of network output is acceptable for you and when you can stop the training process. The implementation I provide here is proven (based on my experience) to be fast and accurate. I decided that I can stop the training process when network is able to recognize all of the patterns, without a single error. So, here is the implementation of my training method.
public override void Train(PatternsCollection patterns) { //Current iteration number if (patterns != null) { double error = 0; int good = 0; // Train until all patterns are correct while (good < patterns.Count) { good = 0; for (int i = 0; i<patterns.Count; i++) { //Set the input values of the network for (int k = 0; k<NodesInLayer(0); k++) nodes[k].Value = patterns[i].Input[k]; //Run the network this.Run(); //Set the expected result for (int k = 0;k< this.OutputNodesCount;k++) this.OutputNode(k).Error = patterns[i].Output[k]; //Make the network to remember corresponding output //values. (Teach the network) this.Learn(); //See if network did produced correct result during //this iteration if (BestNodeIndex == OutputPatternIndex(patterns[i])) good++; } //Adjust weights of the links in the network to their //average value. (An epoch training technique) foreach (NeuroLink link in links) ((EpochBackPropagationLink)link).Epoch(patterns.Count); } }}
Also, I have implemented a BestNodeIndex property that returns the index of the node having maximum value and having the minimal error. An OutputPatternIndex method returns the index of the pattern output element having value of 1. If those indexes are matched – the network has produced correct result. Here is how the BestNodeIndex implementation looks like:
public int BestNodeIndex { get { int result = -1; double aMaxNodeValue = 0; double aMinError = double.PositiveInfinity; for (int i = 0; i< this.OutputNodesCount;i++) { NeuroNode node = OutputNode(i); //Look for a node with maximum value or lesser error if ((node.Value > aMaxNodeValue)||((node.Value >= aMaxNodeValue)&&(node.Error <aMinError))) { aMaxNodeValue = node.Value; aMinError = node.Error; result = i; } } return result; }}
As simple as it gets I create the instance of the neural
network. The network has one constructor parameter – integer array describing
number of nodes in each layer of the network. First layer in the network is an
input layer. The number of elements in this layer corresponds to number
of elements in input pattern and is equal to number of elements in digitized
image matrix (we will tal about it later). The network may have multiple
middle layers with different number of nodes in each layer. In this example I
use only one layer and apply “not official rule of thumb” to determine number
of nodes in this layer:
NodesNumber = (InputsCount+OutputsCount) / 2
Note: You can experiment by adding more middle layers
and using different number of nodes in there - just to see how it will affect
the training speed and recognition quality of the network.
The last layer in the network is an output layer. This is
the layer where we look for the results. I define the number of nodes in this
layer equal to a number of characters that we going to recognize.
//Create an instance of the networkbackpropNetwork = new OCRNetwork(new int[3] {aMatrixDim * aMatrixDim, (aMatrixDim * aMatrixDim + aCharsCount)/2, aCharsCount});
Now let's talk about the training patterns. Those patterns will be used for
teaching the neural network to recognize the images. Basically, each training
pattern consists of two single-dimensional arrays of float numbers – Inputs
and Outputs arrays.
/// <summary>/// A class representing single training pattern and is used to train a /// neural network. Contains input data and expected results arrays./// </summary> public class Pattern: NeuroObject { private double[] inputs, outputs; ...}
The Inputs array contains your input data. In our case it is a digitized representation of the character's image. Under “digitizing” the image I mean process of creating a brightness (or absolute value of the color vector-whatever you choose) map of the image. To create this map I split the image into squares and calculate average value of each square. Then I store those values into array.

I have implemented CharToDoubleArray method of the network to digitize the image. There I use an absolute value of the color for each element of the matrix. (No doubt that you can use other techniques there…) After the image is digitized, I have to scale-down the results in order to fit them into a range from -1 ..1 to comply with input values range of the network. To do this I wrote a Scale method , where I look for the maximum element value of the matrix and then divide all elements of the matrix by it. So, implementation of CharToDoubleArray looks like this:
//aSrc – an image of the character//aArrayDim – dimension of the pattern matrix//calculate image quotation X stepdouble xStep = (double)aSrc.Width/(double)aArrayDim; //calculate image quotation Y stepdouble yStep = (double)aSrc.Height/(double)aArrayDim;double[] result = new double[aMatrixDim<SPAN style="BACKGROUND-POSITION: 0% 0%; BACKGROUND-COLOR: #fbedbb">*aMatrixDim ];for (int i=0; i<aSrc.Width; i++) for (int j=0;j<aSrc.Height;j++) { //calculate matrix address int x = (int)(i/xStep); int y = (int)(j/yStep); //Get the color of the pixel Color c = aSrc.GetPixel(i,j); //Absolute value of the color, but I guess, it is possible to //use the B component of Alpha color space too... result[y*x+y]+=Math.Sqrt(c.R*c.R+c.B*c.B+c.G*c.G); }//Scale the matrix to fit values into a range from 0..1 (required by //ANN) In this method we look for a maximum value of the element //and then divide all elements of the matrix by this maximum value.return Scale(result);
The Output array of the pattern represents an expected result – the result that network will use during the training. There are as many elements in this array as many characters we going to recognize. So, for instance, to teach the network to recognize English letters from “A” to “Z” we will need 25 elements in the Outputs array. Make it 50 if you decide to include lower case letters. Each element corresponds to a single letter. The Inputs of each pattern are set to a digitized image data and a corresponding element in the Outputs array to 1, so network will know which output (letter) corresponds to input data. The method CreateTrainingPatterns does this job for me.
public PatternsCollection CreateTrainingPatterns(Font font) { //Create pattern collection // As many inputs (examples) as many elements in digitized image matrix // As many outputs as many characters we going to recognize. PatternsCollection result = new PatternsCollection(aCharsCount, aMatrixDim * aMatrixDim, aCharsCount);// generate one pattern for each characterfor (int i= 0; i<aCharsCount; i++){ //CharToDoubleArray creates an image of the character and digitizes it. //You can change this method to pass actual the image of the character double[] aBitMatrix = CharToDoubleArray(Convert.ToChar(aFirstChar + i), font, aMatrixDim, 0); //Assign matrix value as input to the pattern for (int j = 0; j<aMatrixDim * aMatrixDim; j++) result[i].Input[j] = aBitMatrix[j]; //Output value set to 1 for corresponding character. //Rest of the outputs are set to 0 by default. result[i].Output[i] = 1; }return result;}
Now we have completed creation of patterns and we can use those to train the neural network.
To start training process of the network simple call the Train method and pass your training patterns in it.
//Train the networkbackpropNetwork.Train(trainingPatterns)
Normally, an execution flow will leave this method when training is complete, but in some cases it could stay there forever (!).The Train method is currently implemented relying only on one fact: the network training will be completed sooner or later. Well, I admit - this is wrong assumption and network training may never complete. The most “popular” reasons for neural network training failure are:
|
Training never completes because: |
Possible solution |
|
1. The network topology is too simple to handle amount of training patterns you provide. You will have to create bigger network. |
Add more nodes into middle layer or add more middle layers to the network. |
|
2. The training patterns are not clear enough, not precise or are too complicated for the network to differentiate them. |
As a solution you can clean the patterns or you can use different type of network / training algorithm. Also, you cannot train the network to guess next winning lottery numbers... :-) |
|
3. Your training expectations are too high and/or not realistic. |
Lower your expectations. The network could be never 100% "sure" |
|
4. No reason |
Check the code! |
Most of those reasons are very easy to resolve and it ia a good subject for a future article. Meanwhile, we can enjoy the results.
Now we can see what the network have learned. Following code
fragment shows how to use trained neural network in your OCR application.
//Get your input data
double[] aInput = ... (your digitized image of the character) //Load the data into the networkfor (int i = 0; i< backpropNetwork.InputNodesCount;i++) backpropNetwork.InputNode(i).Value = aInput[i]; //Run the networkbackpropNetwork.Run(); //Get result from the network and convert it to a characterreturn Convert.ToChar(aFirstChar + backpropNetwork.BestNodeIndex).ToString();
In order to use the network you have to load your data into input layer. Then use the Run method to let the network process your data. Finally, get your results out from output nodes of the network and analyze those (The BestNodeIndex property I created in OCRNetwork class does this job for me).