📄 target_image_gen.m
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function M = target_image_gen(target_velx,target_vely,target_velz)
%% Optical Sensor Image Generation
%
%This is just a edit of the demo provided by matlab.
%New features include target_velz and a function to simulate
%the targets aproach.
%Use: just put Vx, Vy and Vz and get a movie.
%Recomend using Vx = 1, Vy = 1, and Vz = 2.
%All credit goes to the MathWorks.
%
% Copyright 1990-2006 The MathWorks, Inc.
% $Revision: 1.10.2.4 $ $Date: 2006/12/20 08:32:52 $
%% Generating an Optical Sensor Image From Simulated Movement Data
%
% This script (aero_pointer_tracker.m) generates a movie with 64
% frames and a frame size of 64 by 64 pixels (at 10 frames
% per second). The movie contains a simulation of a moving target
% that is moving through a structured background that is itself
% moving. A jitter motion caused by random vibration is also
% generated (in a Simulink model called "aero_vibrati") and the jitter
% motion is added into the overall sensor motion. Finally, the image is
% blurred through a Gaussian optical point spread function.
%
% Note: Changing delt here also requires a change in the parameters set-up
% dialog box in the Simulink model "vibration".
delt = 0.1; % Sample time of the generated sequence
num_frames= 64; % Number of frames to generate
framesize = 64; % Square frame size in pixels
out = zeros(framesize,framesize,num_frames); % Initialize movie storage as a 3D Array
%% Generate a Target and Define Its Motion
%
% The first stage is to define the shape and motion of the target
% object.The shape chosen is a large plus sign, and the image
% is defined by a matrix representing the image intensity at
% each pixel position. The Target is defined to be travelling
% from centre to bottom right of the image.
%
out = zeros(framesize,framesize,num_frames); % Initialize movie storage as a 3D Array
%target_velx = 1; % target velcoity in x direction in pixels per second
%target_vely = 1; % target velocity in y direction in pixels per second
%target_velz = 2; % New feature<---------------------
target_x_initally = framesize/2; % the target is initially in the center of the frame in x
target_y_initally = framesize/2; % and in y
target_z_initally = 1;%New feature<----------------------
target = target_gen(5);%New feature<----------------------
figure(1);
colormap('gray');
image(target*32);
title('Target Image')
%% Build Background and Target Composite Image
%
% Generate a sinusoidally correlated background and give it a drift motion.
% Then, overlay the target onto the background image.
%
backsize = framesize+36; % Make the background bigger than the frame so when it
% drifts there are new pixels available to drift into.
xygrid = (1:backsize)/backsize;
B=2*sin(2*pi*xygrid).^2'*cos(2*pi*xygrid).^2;
psd = fft2(B);
psd = real(psd.*conj(psd));
background = B + 0.5*randn(backsize); % Add a specular gaussian white
% sequence to the structure with
% variance of 0.25 (sigma of 0.5).
xoff = 10;
yoff = 10; % Sensor location is offset from the 0,0 of the background
driftx = 1;
drifty = 1; % drift rate of the background in a and y directions pix/sec.
minout = min(min(min(background)));
maxout = max(max(max(background)));
figure(2);
colormap('gray');
image((background-minout)*64/(maxout-minout))
title('Background image with additive white specular noise')
%% Simulate the Tracker's Rotational Vibration
%
% Rotational vibration of the tracker is simulated using model aero_vibrati.
% The data required to simulate the vibration of the tracker is generated
% by running the Simulink model "aero_vibrati".
%
% Run Simulink vibration model using sim command (Note -- if the delt is changed
% from 0.1 seconds, the Simulink model must be changed also to ensure that the
% sample time for the vibration match the sample time in this tracker image
% model.
%
% The resulting random rotations are shown in Figure 1.
%
omega = 2*pi*5; % The structural frequencies are 5, 10 and 15 Hz in the model.
zeta = 0.01; % Damping ratio for all modes
sim('aero_vibrati',[],simset('SrcWorkspace','current','DstWorkspace','current'));
vibx = vibdat(1:10:1000); % The Simulink model "aero_vibrati"
% generates the vibration data at
% a sample time of 0.01 sec.
viby = vibdat(1001:10:2000); % The output
% is transferred to the MATLAB
% workspace in array vibdat.
levarmx = 10; % Rotational lever arm for vibration noise in x
levarmy = 10; % and in y.
figure(3);
subplot(211);
plot(0.01*(1:10:1000),vibx);grid;
title('Time history of the random Tracker rotations')
xlabel('Time');ylabel('x direction')
subplot(212);
plot(0.01*(1:10:1000),viby);grid;
xlabel('Time');ylabel('y direction')
%% Simulate the Motion Effects From the Background, Target, and Jitter
%
% The frames that will make up the movie are now created and
% stored in a multidimensional array (out). Each frame has
% the background and target at differing positions due to the
% target motion, background drift, and tracker vibration. The
% first frame of the movie will be shown in Figure 1.
%
for t = 1:num_frames
% Drift the Background at the rate driftx and difty
% (in pixels/second) and add in the vibration:
xshift = driftx*delt*t+levarmx*vibx(t,1);
yshift = drifty*delt*t+levarmy*viby(t,1);
% Interpolate the 2D image using the MATLAB function interp2:
[xgrid, ygrid] = meshgrid(1:backsize);
[xindex, yindex] = meshgrid(xshift:1:xshift+backsize,yshift:1:yshift+backsize);
outtemp = interp2(xgrid,ygrid,background,xindex,yindex);
% Truncate the drifted image down from backsize to framesize:
out(:,:,t) = outtemp(xoff:xoff+framesize-1,xoff:xoff+framesize-1);
% Now let the target move also:
tpixinx = floor(target_velx*delt*t);
tpixiny = floor(target_vely*delt*t); % Before interpolating extract the number of pixels moved
txi = target_velx*delt*t - tpixinx;
tyi = target_vely*delt*t - tpixiny; % Interpolate on subpixels around the origin only
[txgrid tygrid] = meshgrid(1:11); % meshgrid here generates a matrix of grid elements
[txi tyi] = meshgrid(txi+1:txi+11,tyi+1:tyi+11); % meshgrid generates 2 matrices with the x and y grids
x = target_z_initally+target_velz*delt*t;%New feature<----------------------
targetf = target_gen(x);%New feature<----------------------
% Interpolate the intensity values first using interp2 -- a built in MATLAB command
temp = interp2(txgrid,tygrid,targetf,txi,tyi);
% Insert the target at the location determined by the initial offset, and the number of whole pixels moved
tx = tpixinx + target_x_initally-1;
ty = tpixiny + target_y_initally-1;
out(tx:tx+6,ty:ty+6,t) = temp(9:-1:3,9:-1:3) + out(tx:tx+6,ty:ty+6,t);
end
minout = min(min(min(out)));
maxout = max(max(max(out)));
figure(4);
colormap('gray');
image((out(:,:,1)-minout) * 64/(maxout-minout));
title('First frame of combined target and background image.')
%% Pass the Images Through Optics -- Use a Gaussian "Aperture Function"
%
% This code segement can use a measured aperture function just as easily - simply
% replace the next five lines by "load measured_aperture" where measured_aperture
% is the measured function strored in ASCII and the data stored in the file
% measured_aperture.mat is a matlab .mat file that contains the matrix apfunction.
% (in MATLAB type "help load" for how to use load and look at the c and fortran code
% that shows hoew to read and write matlab .mat files).
%
% (Note: When the Point Spread Function is Gaussian, then so is the Aperture function)
%
% To simulate the effect of the tracker optics, each of the
% movie frames is now blurred using a 2-D FFT (Fast Fourier
% Transform). The first frame of the resulting image is shown
% in Figure 1.
%
x = 1:framesize;
y = 1:framesize;
sigma = 120;
apfunction = exp(-(x-framesize/2).^2/(2*sigma))' * exp(-(y-framesize/2).^2/(2*sigma));
apfunction = fftshift(apfunction); % Rotate so it conforms with FFT convention
for j = 1:num_frames
out(:,:,j) = real(ifft2(apfunction.*fft2(out(:,:,j))));
end
minout = min(min(min(out)));
maxout = max(max(max(out)));
figure(5);
colormap('gray');
image((out(:,:,1)-minout)*64/(maxout-minout));
title('First frame of blurred image.')
%% Generate the MATLAB Movie and Play It Back
%
% Scale the movie frame so that is has 64 intensity values from the min
% to the max and then show the result as an image. See MATLAB help
% for how the moviein and getframe work.
%
minout = min(min(min(out)));
maxout = max(max(max(out)));
figure(6);
colormap('gray')
M = moviein(num_frames);
for j = 1:num_frames
image((out(:,:,j)-minout)*64/(maxout-minout))
drawnow
M(:,j) = getframe;
end
figure(6);
colormap('gray')
movie(M);
%% OPTIONAL: Save the Movie in a .mat File
%
% You can optionally save the generated tracker movie in a mat file
% and also save the psd of the background for later use with the movie.
%
% save trackerimage out
% save psdback psd
% save moviedat M
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