Basics of Image Processing using MATLAB

April 21, 2010

Varun K. Nagaraja
Final Year, Dept of ECE
NITK Surathkal

Basics of Image Processing using MATLAB

Computer Vision and Related Fields


Activity Recognition

Image Stitching


Medical Image Enhancement

Image Morphing


Basic operation with Matrices

% Use colon at the end to suppress % Transpose of a matrix
% output A_trans = A’

% To enter a matrix with real elements A_trans =
A = [5 3 7; 8 9 2; 1 4.2 6e-2]
5.0000 8.0000 1.0000
A = 3.0000 9.0000 4.2000
7.0000 2.0000 0.0600
5.0000 3.0000 7.0000
8.0000 9.0000 2.0000 % Matrix addition
1.0000 4.2000 0.0600 C = A + A_trans

% To enter a matrix with complex C =
% elements
X = [5+3*j 7+8j; 9+2j 1+4j;] 10.0000 11.0000 8.0000
11.0000 18.0000 6.2000
X = 8.0000 6.2000 0.1200

5.0000 + 3.0000i 7.0000 + 8.0000i
9.0000 + 2.0000i 1.0000 + 4.0000i


Basic operation with Matrices

% Matrix multiplication (element wise)
C = A .* A_trans

C =

25.0000 24.0000 7.0000
These commands or functions can be run in the
24.0000 81.0000 8.4000
MATLAB command prompt or as Script files (.m)
7.0000 8.4000 0.0036
Either
% Matrix multiplication • type edit <filename>.m in MATLAB command
C = A * A_trans
prompt to open the editor or
• go File - New - Blank M File
C =

83.0000 81.0000 18.0200
81.0000 149.0000 45.9200
18.0200 45.9200 18.6436


A Simple Character Recognition Code

• Detect only particular characters and
numbers in an image.
• Characters are in white and of a fixed
size.
• Background is black in color.
• The image is in binary format.

We will explore various concepts as we
implement this.


Reading images in MATLAB

% Set working directory to directory
% containing this tutorial

% Reading an image
% A = IMREAD(FILENAME,FMT) or
% A = IMREAD('FILENAME.FMT')
im=imread('.char recogtestimage.bmp');

% It is better to suppress outputs when
% reading images. Try once without the
% colon at the end of command

% Displaying an image
imshow(im)

% To open a separate window for the
% figure and not overwrite in the
% existing window
figure
imshow(im)

figure, imshow(im)



Now read the image ‘same color.jpg’ and display it on a window.

Once the image is displayed in the window, select Tools – Data Cursor or select the shortcut on the
toolbar.

Click on point A as shown, on the image. It displays three values (RGB) since it is a color image. You
can try reading pixel values for the previous image. It will be either 0/1 since it is binary image.

Hold Alt and Click on point B. This creates something called as a new datatip.

Now for some fun

B

A



Now read the image ‘same color.jpg’ and display it on a window.

Once the image is displayed in the window, select Tools – Data Cursor or select the shortcut on the
toolbar.

Click on point A as shown, on the image. It displays three values (RGB) since it is a color image. You
can try reading pixel values for the previous image. It will be either 0/1 since it is binary image.

Hold Alt and Click on point B. This creates something called as a new datatip.

Now for some fun

What are the RGB values at the two points? B

A

Adelson's checker shadow illusion (http://en.wikipedia.org/wiki/Same_color_illusion)


Writing functions in MATLAB

Let’s write a function charrec(im)which when called with an image file, will
display the characters as shown earlier

>> im=imread('.char recogtestimage.bmp');
>> imshow(im);
>> charrec(im);

The digits found in the image are:
0
3
5
The letters found in the image are:
L
N


Writing functions in MATLAB

Few examples of functions in MATLAB

% Function returning no output
function sample(ip1,ip2,ip3,…)
.
.
.
end

% Function with outputs
function [op1,op2,…]=sample(ip1,ip2,ip3,…)
.
.
.
End

% save the code as sample.m. Function name
% and m-file name should be the same


The Algorithm

Dilation

• adds pixels to the boundaries of objects in an image.
• number of pixels added from the objects in an image
depends on the size and shape of the structuring element
• function strel(…) can be used to generate the SEs.

>> SE = strel('diamond', 1)

SE =

Flat STREL object containing 5 neighbors.

Neighborhood:
0 1 0
1 1 1
0 1 0


>> SE = strel('square',3)

SE =


Neighborhood:
1 1 1
1 1 1
1 1 1
Check out help on strel for
>> SE = strel('line', 7, 45) various combinations

SE =


Neighborhood:
0 0 0 0 1
0 0 0 1 0
0 0 1 0 0
0 1 0 0 0
1 0 0 0 0


Dilation does not necessarily mean dilation of the holes also. The holes get
contracted as shown above.

Also try image erosion. Use MATLAB’s help.


Continuing with The Algorithm

When the dilated image of the character us subtracted from the original we get
something like…

Next we create such images for all the characters that we
want to recognize. (For all those individual character
images in the folder)

>> N = imread ('.char recogN.bmp');
>> SE = strel('square',3);
>> N1 = imdilate(N,SE);
>> N2 = N1 - N;
>> figure,imshow(N2)


Continuing with The Algorithm

Function, bwhitmiss is employed to check if a particular character is present in
the given image.

bwhitmiss(BW1,SE1,SE2) performs the hit‐miss operation defined by the
structuring elements SE1 and SE2. The hit‐miss operation preserves pixels
whose neighborhoods match the shape of SE1 and don't match the shape of SE2.

If the matrix returned by bwhitmiss contains non zero elements, then the
character is found in the image.

>> if ~isempty(nonzeros(bwhitmiss(im,N,N2)))
disp('N');
end

Also note the use of functions isempty and nonzeros

You can now use charrec.m to recognize few characters in a crude way.


Image Segmentation

Global Thresholding Method

>> im=imread('automata.jpg');
>> im_gray=rgb2gray(im);

% im2bw converts grayscale image to binary
% image using a global threshold
>> bw1=im2bw(im_gray);
>> bw2=im2bw(im_gray, threshold);

% if no threshold is specified, it uses a
% function graythresh to calculate the
% threshold. Otsu’s method is implemented in
% graythresh function.


Image Segmentation

Global Thresholding Method

Disadvantage is when there are multiple colors for objects and backgrounds.

Result with global thresholding – one of the blocks is lost


Image Segmentation

Local Thresholding Method: Niblack’s Method

>> im=imread('blocks.jpg');
255 if I( x, y )  T ( x, y ) >> im_gray=rgb2gray(im);
 
R( x, y )  100 if I( x, y )  T ( x, y ) >> imt=niblack(im_gray,0.5,201);
>> figure,imshow(imt,[])
 0 
 otherwise 
% Here k=0.5 and N=201(preferably odd)
T ( x, y)   N  k   N
% think about effects of values of N on
% processing time and k on thresholding
% level
k and N are to be empirically determined


Image Segmentation

Local Thresholding Method: Niblack’s Method

% Since our objects of interest are white pixels,
% we will consider those equal to 255
>> imwhite=(imt==255);

% observe how the above command works. It checks
% pixel by pixel for the condition and returns a
% matrix
>> figure, imshow(imwhite)

% Now we need to clear the noisier regions. We
% use an erosion process followed by reconstruction
>> im_eroded=imerode(imwhite,strel('square',51));
>> im_recon=imreconstruct(im_eroded,imwhite);
>> figure, imshow(im_recon)


Connected Components

% You can see pixels connected to each other
% form objects in the image. These are
% called connected components. Read more
% about 4-connectivity and 8-connectivity

% Label the connected components i.e. assign
% a particular number as pixel value to one CC
>> [bw_labelled num]=bwlabel(im_recon);
>> figure,imshow(bw_labelled,[])

% We can use regionprops() to extract some
% properties of the CCs
>> areas = regionprops(bw_labelled,'Area')

% Here areas is a struct variable

% Try experimenting with other properties and
% explore what property can be used to
% distinguish between CCs


% We will convert to struct to a normal array for easy operation
>> areas1=[];
>> for i=1:length(areas)
areas1=[areas1; areas(i,1).Area];
end
>> areas1

areas1 =

415711
26440
10350
8630
17971
8282
5243

% We are interested in objects (the squares) with area in range 8000-
% 9000

>> index=find(areas1>8000 & areas1<9000);
>> finalimg=zeros(size(bw_labelled));
>> for i=1:length(index)
finalimg=finalimg+(bw_labelled==index(i));
end


>> figure,imshow(finalimg,[])

This was again a very crude way, since we are depending only on value of
area which might not remain constant if camera changes position.

Most of the times the standard features available with regionprops() is
not sufficient. We will have to write our own code to extract features.

Also we used hard thresholds for areas to classify CCs. Again most of the
times, this is not followed. Classifiers using Pattern Recognition techniques
are employed.


Few Other Stuff

You can try
Edge detection
>> im=imread('ouch.jpg');
>> im_gray=rgb2gray(im);
>> imedge=edge(im_gray,'canny',[0.1 0.2]);
>> figure,imshow(imedge)

% Try different edge operators and
% threshold levels

and
Removing Noise By Median Filtering
(MATLAB Help)

There is more to learn in Image Processing. All the Best

Basics of Image Processing using MATLAB

Recommandé

Recommandé

Contenu connexe

Tendances

Tendances (20)

En vedette

En vedette (14)

Similaire à Basics of Image Processing using MATLAB

Similaire à Basics of Image Processing using MATLAB (20)

Dernier

Dernier (20)

Basics of Image Processing using MATLAB