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Introduction to MATLAB
                        (Basics)




Reference from:
Azernikov Sergei
mesergei@tx.technion.ac.il
MATLAB Basics

• Where to get help?

1) In MATLAB’s prompt type:
   help, lookfor,helpwin, helpdesk, demos.
2) On the Web:
   http://www.mathworks.com/support

                                             2
MATLAB’s Workspace

•   who,whos - current variables in workspace
•   save - save workspace variables to *.mat file
•   load - load variables from *.mat file
•   clear all - clear workspace variables




                                                3
Matrices in MATLAB


• Matrix is a main MATLAB’s data type
• How to build a matrix?
  A = [ 1 2 3; 4 5 6; 7 8 9 ];
Creates matrix A with size 3x3.
• Special matrices :
  zeros(n,m), ones(n,m),eye (n,m)
                                        4
Basic Operations on Matrices

• All the operators in MATLAB defined on
  matrices : +, -, *, /, ^, sqrt, sin, cos etc.
• Element wise operators defined with
  preceding dot : .*, ./, .^ .
• size(A) - size vector
• sum(A) - columns sums vector
• sum(sum(A)) - all the elements sum
                                                  5
Logical Conditions


• == , < , > , (not equal)~= ,(not)~

• find(‘condition’) - Returns indexes of A’s
  elements that satisfies the condition.


                                           6
Logical Conditions(cont.)

• Example:
>> A = [1 2; 3 4], I = find(A<4)

A=

     1   2
     3   4



I=

     1
     2
     3
                                   7
Flow Control


• MATLAB has five flow control constructs:
       – if statements
       – switch statements
       – for loops
       – while loops
       – break statements

                                             8
if
• IF statement condition.
  The general form of the IF statement is
   IF expression
    statements
   ELSEIF expression
    statements
   ELSE
    statements
   END

                                            9
if(cont.)

• Example:
    if I == J
      A(I,J) = 2;
    elseif abs(I-J) == 1
      A(I,J) = -1;
    else
      A(I,J) = 0;
    end

                           10
switch

• SWITCH - Switch among several cases based on expression.
• The general form of the SWITCH statement is:
   SWITCH switch_expr
     CASE case_expr,
        statement, ..., statement
     CASE {case_expr1, case_expr2, case_expr3,...}
        statement, ..., statement
    ...
     OTHERWISE,
        statement, ..., statement
   END                                                  11
switch (cont.)


•Note:
Only the statements between the matching
CASE and the next CASE, OTHERWISE, or END are executed.
Unlike C, the SWITCH statement does not fall through
(so BREAKs are unnecessary).




                                                  12
for


• FOR Repeat statements a specific number
  of times.

• The general form of a FOR statement is:
   FOR variable = expr, statement, ..., END


                                              13
for (cont.)

• Example:
  FOR I = 1:N,
      FOR J = 1:N,
         A(I,J) = 1/(I+J-1);
      END
  END

                               14
while


• WHILE Repeat statements an indefinite
  number of times.
• The general form of a WHILE statement is:
  WHILE expression
     statements
  END
                                         15
while (cont.)

• Example:
  E = 0*A; F = E + eye(size(E)); N = 1;
  while norm(E+F-E,1) > 0,
         E = E + F;
         F = A*F/N;
         N = N + 1;
  end
                                          16
Scripts and Functions


• There are two kinds of M-files:
        – Scripts, which do not accept input
          arguments or return output arguments. They
          operate on data in the workspace.
        – Functions, which can accept input
          arguments and return output arguments.
          Internal variables are local to the function.

                                                      17
Functions in MATLAB


• FUNCTION Add new function.

• New functions may be added to MATLAB'      s
  vocabulary if they are expressed in terms of
  other existing functions.

                                            18
Functions in MATLAB (cont.)
• Example :
 The existence of a file
 on disk called STAT.M with:
 function [mean,stdev] = stat(x)
 %STAT Interesting statistics.
 n = length(x);
 mean = sum(x) / n;
 stdev = sqrt(sum((x - mean).^2)/n);
 defines a new function called STAT that calculates the
 mean and standard deviation of a vector.
                                                          19
Visualization and Graphics
•   plot(x,y), plot(x,sin(x)) - plot 1-D function
•   figure , figure(k) - open a new figure
•   hold on, hold off - refreshing
•   mesh(x_ax,y_ax,z_mat) - view surface
•   contour(z_mat) - view z as top. map
•   subplot(3,1,2) - locate several plots in figure
•   axis([xmin xmax ymin ymax]) - change axes
•   title(‘figure title’) - add title to figure
                                                      20
Image Proc. with MATLAB
(Please refer to Matlab Demo for more details of Image
                  Processing Tool Box)
What Is the Image Processing Toolbox?

• The Image Processing Toolbox is a collection of functions
  that extend the capability of the MATLAB ® numeric
  computing environment. The toolbox supports a wide
  range of image processing operations, including:
   –   Geometric operations
   –   Neighborhood and block operations
   –   Linear filtering and filter design
   –   Transforms
   –   Image analysis and enhancement
   –   Binary image operations
   –   Region of interest operations
                                                              22
MATLAB Image Types


•   Indexed images     : m-by-3 color map
•   Intensity images   : [0,1] or uint8
•   Binary images      : {0,1}
•   RGB images         : m-by-n-by-3



                                            23
Indexed Images
  » [x,map] = imread('
                     trees.tif'
                              );
  » imshow(x,map);




                                   24
Intensity Images
» image = ind2gray(x,map);
» imshow(image);




                             25
Binary Images
» imshow(edge(image));




                         26
RGB Images




             27
Image Display

•   image - create and display image object
•   imagesc - scale and display as image
•   imshow - display image
•   colorbar - display colorbar
•   getimage- get image data from axes
•   truesize - adjust display size of image
•   zoom - zoom in and zoom out of 2D plot
                                          28
Some Points to Note

Pixel values are accessed as matrix elements.
  2D Image with intensity values: I(row,col)
  2D RGB images I(row,col,color)
    - Color : Red = 1; Green = 2 ; Blue = 3

Displaying images
   figure, imshow(I)

Displaying pixel position and intensity information
   pixval on
                                                 29
Points to Note

 All arithmetic operations performed on matrices
may be performed on images
 After processing, an image matrix can be written
to an output image file with the imwrite function
  - imwrite(I,map,’filename’,’fmt’)
 Without the map argument, the image data is
supposed to be grayscale or RGB.
 The format ‘fmt’ needs to support the particular
type of image
                                               30
Image Conversion
•   gray2ind - intensity image to index image
•   im2bw      - image to binary
•   im2double - image to double precision
•   im2uint8 - image to 8-bit unsigned integers
•   im2uint16 - image to 16-bit unsigned integers
•   ind2gray - indexed image to intensity image
•   mat2gray - matrix to intensity image
•   rgb2gray - RGB image to grayscale
•   rgb2ind - RGB image to indexed image
                                                    31
% Working with Images (example)
[I,map]=imread('
               trees.tif'
                        );                        % read a TIFF image
figure, imshow(I,map)                             % display it as indexed image
I2=ind2gray(I,map);                               % convert it to grayscale
figure
colormap(' )
         gray'                                    % use gray colormap
imagesc(I2,[0 1])                                 % scale data to use full colormap
                                                  % for values between 0 and 1
axis('
     image'
          )                                       % make displayed aspect ratio %proportional
                                                  % to image dimensions
I=imread(‘moon.jpg' % read a JPEG image into 3D
                  );                              %array
figure
imshow(I)
rect=getrect;                                     % select rectangle
I2=imcrop(I,rect);                                % crop
I2=rgb2gray(I2);                                  % convert cropped image to grayscale
imagesc(I2)                                       % scale data to use full colormap
                                                                                          32
% between min and max values in I2
colormap(' )
         gray'
colorbar                      % turn on color bar
pixval                        % display pixel values interactively
truesize                      % display at resolution of one %screen pixel
                              % per image pixel
truesize(2*size(I2))          % display at resolution of two %screen pixels
                              % per image pixel
I3=imresize(I2,0.5,' );
                   bil'       % resize by 50% using bilinear
                              % interpolation
I3=imrotate(I2,45,' );
                  bil'        % rotate 45 degrees and crop to
                              % original size
I3=double(I2);                % convert from uint8 to double, to %allow
% math operations
imagesc(I3.^2)                % display squared image (pixel-wise)
imagesc(log(I3))              % display log of image

                                                                              33
MATLAB Resources on the Internet
http://www.mathworks.com/products/demos/#
http://www.math.siu.edu/MATLAB/tutorials.html
http://math.ucsd.edu/~driver/21d -s99/MATLAB-primer.html
http://www-cse.ucsd.edu/~sjb/classes/MATLAB/MATLAB.intro.html
http://www.mit.edu/~pwb/cssm/
http://www.mathworks.com
Interesting and very complete tutorials in:
http://www.mathworks.com/academia/student_center/tutorials/la
unchpad.html
http://www.mathworks.com/matlabcentral/fileexchange

                                                           34
Getting started with MATLAB
http://www.mathworks.com/access/helpdesk/help/techdoc/learn_matlab/learn_matlab.shtml

MATLAB tutorial
  http://www.math.mtu.edu/~msgocken/intro/intro.html
  http://amath.colorado.edu/scico/tutorials/matlab/

MATLAB helpdesk
  http://www.mathworks.com/access/helpdesk/help/helpdesk.shtml

MATLAB Primer
  ftp://ftp.eng.auburn.edu/pub/sjreeves/matlab_primer_40.pdf




                                                                            35

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Matlab intro

  • 1. Introduction to MATLAB (Basics) Reference from: Azernikov Sergei mesergei@tx.technion.ac.il
  • 2. MATLAB Basics • Where to get help? 1) In MATLAB’s prompt type: help, lookfor,helpwin, helpdesk, demos. 2) On the Web: http://www.mathworks.com/support 2
  • 3. MATLAB’s Workspace • who,whos - current variables in workspace • save - save workspace variables to *.mat file • load - load variables from *.mat file • clear all - clear workspace variables 3
  • 4. Matrices in MATLAB • Matrix is a main MATLAB’s data type • How to build a matrix? A = [ 1 2 3; 4 5 6; 7 8 9 ]; Creates matrix A with size 3x3. • Special matrices : zeros(n,m), ones(n,m),eye (n,m) 4
  • 5. Basic Operations on Matrices • All the operators in MATLAB defined on matrices : +, -, *, /, ^, sqrt, sin, cos etc. • Element wise operators defined with preceding dot : .*, ./, .^ . • size(A) - size vector • sum(A) - columns sums vector • sum(sum(A)) - all the elements sum 5
  • 6. Logical Conditions • == , < , > , (not equal)~= ,(not)~ • find(‘condition’) - Returns indexes of A’s elements that satisfies the condition. 6
  • 7. Logical Conditions(cont.) • Example: >> A = [1 2; 3 4], I = find(A<4) A= 1 2 3 4 I= 1 2 3 7
  • 8. Flow Control • MATLAB has five flow control constructs: – if statements – switch statements – for loops – while loops – break statements 8
  • 9. if • IF statement condition. The general form of the IF statement is IF expression statements ELSEIF expression statements ELSE statements END 9
  • 10. if(cont.) • Example: if I == J A(I,J) = 2; elseif abs(I-J) == 1 A(I,J) = -1; else A(I,J) = 0; end 10
  • 11. switch • SWITCH - Switch among several cases based on expression. • The general form of the SWITCH statement is: SWITCH switch_expr CASE case_expr, statement, ..., statement CASE {case_expr1, case_expr2, case_expr3,...} statement, ..., statement ... OTHERWISE, statement, ..., statement END 11
  • 12. switch (cont.) •Note: Only the statements between the matching CASE and the next CASE, OTHERWISE, or END are executed. Unlike C, the SWITCH statement does not fall through (so BREAKs are unnecessary). 12
  • 13. for • FOR Repeat statements a specific number of times. • The general form of a FOR statement is: FOR variable = expr, statement, ..., END 13
  • 14. for (cont.) • Example: FOR I = 1:N, FOR J = 1:N, A(I,J) = 1/(I+J-1); END END 14
  • 15. while • WHILE Repeat statements an indefinite number of times. • The general form of a WHILE statement is: WHILE expression statements END 15
  • 16. while (cont.) • Example: E = 0*A; F = E + eye(size(E)); N = 1; while norm(E+F-E,1) > 0, E = E + F; F = A*F/N; N = N + 1; end 16
  • 17. Scripts and Functions • There are two kinds of M-files: – Scripts, which do not accept input arguments or return output arguments. They operate on data in the workspace. – Functions, which can accept input arguments and return output arguments. Internal variables are local to the function. 17
  • 18. Functions in MATLAB • FUNCTION Add new function. • New functions may be added to MATLAB' s vocabulary if they are expressed in terms of other existing functions. 18
  • 19. Functions in MATLAB (cont.) • Example : The existence of a file on disk called STAT.M with: function [mean,stdev] = stat(x) %STAT Interesting statistics. n = length(x); mean = sum(x) / n; stdev = sqrt(sum((x - mean).^2)/n); defines a new function called STAT that calculates the mean and standard deviation of a vector. 19
  • 20. Visualization and Graphics • plot(x,y), plot(x,sin(x)) - plot 1-D function • figure , figure(k) - open a new figure • hold on, hold off - refreshing • mesh(x_ax,y_ax,z_mat) - view surface • contour(z_mat) - view z as top. map • subplot(3,1,2) - locate several plots in figure • axis([xmin xmax ymin ymax]) - change axes • title(‘figure title’) - add title to figure 20
  • 21. Image Proc. with MATLAB (Please refer to Matlab Demo for more details of Image Processing Tool Box)
  • 22. What Is the Image Processing Toolbox? • The Image Processing Toolbox is a collection of functions that extend the capability of the MATLAB ® numeric computing environment. The toolbox supports a wide range of image processing operations, including: – Geometric operations – Neighborhood and block operations – Linear filtering and filter design – Transforms – Image analysis and enhancement – Binary image operations – Region of interest operations 22
  • 23. MATLAB Image Types • Indexed images : m-by-3 color map • Intensity images : [0,1] or uint8 • Binary images : {0,1} • RGB images : m-by-n-by-3 23
  • 24. Indexed Images » [x,map] = imread(' trees.tif' ); » imshow(x,map); 24
  • 25. Intensity Images » image = ind2gray(x,map); » imshow(image); 25
  • 28. Image Display • image - create and display image object • imagesc - scale and display as image • imshow - display image • colorbar - display colorbar • getimage- get image data from axes • truesize - adjust display size of image • zoom - zoom in and zoom out of 2D plot 28
  • 29. Some Points to Note Pixel values are accessed as matrix elements. 2D Image with intensity values: I(row,col) 2D RGB images I(row,col,color) - Color : Red = 1; Green = 2 ; Blue = 3 Displaying images figure, imshow(I) Displaying pixel position and intensity information pixval on 29
  • 30. Points to Note All arithmetic operations performed on matrices may be performed on images After processing, an image matrix can be written to an output image file with the imwrite function - imwrite(I,map,’filename’,’fmt’) Without the map argument, the image data is supposed to be grayscale or RGB. The format ‘fmt’ needs to support the particular type of image 30
  • 31. Image Conversion • gray2ind - intensity image to index image • im2bw - image to binary • im2double - image to double precision • im2uint8 - image to 8-bit unsigned integers • im2uint16 - image to 16-bit unsigned integers • ind2gray - indexed image to intensity image • mat2gray - matrix to intensity image • rgb2gray - RGB image to grayscale • rgb2ind - RGB image to indexed image 31
  • 32. % Working with Images (example) [I,map]=imread(' trees.tif' ); % read a TIFF image figure, imshow(I,map) % display it as indexed image I2=ind2gray(I,map); % convert it to grayscale figure colormap(' ) gray' % use gray colormap imagesc(I2,[0 1]) % scale data to use full colormap % for values between 0 and 1 axis(' image' ) % make displayed aspect ratio %proportional % to image dimensions I=imread(‘moon.jpg' % read a JPEG image into 3D ); %array figure imshow(I) rect=getrect; % select rectangle I2=imcrop(I,rect); % crop I2=rgb2gray(I2); % convert cropped image to grayscale imagesc(I2) % scale data to use full colormap 32
  • 33. % between min and max values in I2 colormap(' ) gray' colorbar % turn on color bar pixval % display pixel values interactively truesize % display at resolution of one %screen pixel % per image pixel truesize(2*size(I2)) % display at resolution of two %screen pixels % per image pixel I3=imresize(I2,0.5,' ); bil' % resize by 50% using bilinear % interpolation I3=imrotate(I2,45,' ); bil' % rotate 45 degrees and crop to % original size I3=double(I2); % convert from uint8 to double, to %allow % math operations imagesc(I3.^2) % display squared image (pixel-wise) imagesc(log(I3)) % display log of image 33
  • 34. MATLAB Resources on the Internet http://www.mathworks.com/products/demos/# http://www.math.siu.edu/MATLAB/tutorials.html http://math.ucsd.edu/~driver/21d -s99/MATLAB-primer.html http://www-cse.ucsd.edu/~sjb/classes/MATLAB/MATLAB.intro.html http://www.mit.edu/~pwb/cssm/ http://www.mathworks.com Interesting and very complete tutorials in: http://www.mathworks.com/academia/student_center/tutorials/la unchpad.html http://www.mathworks.com/matlabcentral/fileexchange 34
  • 35. Getting started with MATLAB http://www.mathworks.com/access/helpdesk/help/techdoc/learn_matlab/learn_matlab.shtml MATLAB tutorial http://www.math.mtu.edu/~msgocken/intro/intro.html http://amath.colorado.edu/scico/tutorials/matlab/ MATLAB helpdesk http://www.mathworks.com/access/helpdesk/help/helpdesk.shtml MATLAB Primer ftp://ftp.eng.auburn.edu/pub/sjreeves/matlab_primer_40.pdf 35