 # Detecting Arbitrary Shape in an Image

## Question

Detecting Arbitrary Shape in an Image using Hough Transformation,
Sample program with image input and target image needed.
Comment enough on the code so that report can be made out of it.

## Solution Preview

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function detect_object(image,scene,to_plot)
% INPUTS
% image - a square rgb image containing the main object
% scene - a square rgb image containing a set of objects
% The goal of the algorithm is to detect the main object in the scene.

if nargin < 3
to_plot=0;
end

%make the image into a gray image
image=rgb2gray(image);

%Extract the edges. For the image given
%to make a logical image based on if the pixel
%values exceed 160 or not gives very clear edges
%and produces simpler edges than the 'canny' algorithm

edges_image=(image<160);%edge(image,'canny');
figure
imshow(edges_image)
title('Edges in the image');

%This is for plotting information only and shows what the Hough
%transform extracts out of the input image.
%This is standard Matlab sample code for the Hough transform.
if to_plot
[Hi,Ti,Ri]=hough(edges_image);
'InitialMagnification','fit');
xlabel('\theta (degrees)'), ylabel('\rho');
axis on, axis normal, hold on;
colormap(hot)
title('image');
Pi = houghpeaks(Hi,15,'threshold',ceil(0.3*max(Hi(:))));
xi = Ti(Pi(:,2));
yi = Ri(Pi(:,1));
hold on
plot(xi,yi,'s','color','black');
lines = houghlines(edges_image,Ti,Ri,Pi,'FillGap',5,'MinLength',7);
figure;
imshow(edges_image);
max_len=0;
hold on
for k = 1:length(lines)
xy = [lines(k).point1; lines(k).point2];
plot(xy(:,1),xy(:,2),'LineWidth',2,'Color','green');

% Plot beginnings and ends of lines
plot(xy(1,1),xy(1,2),'x','LineWidth',2,'Color','yellow');
plot(xy(2,1),xy(2,2),'x','LineWidth',2,'Color','red');

% Determine the endpoints of the longest line segment
len = norm(lines(k).point1 - lines(k).point2);
if ( len > max_len)
max_len = len;
xy_long = xy;
end
end
end...
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