find hessian normal form from hough lines in matlab

To find the Hessian normal form from Hough lines in MATLAB, you can follow these steps:

1. Use the Hough transform to detect lines in the image. This can be done with the hough function in MATLAB.

2. Convert the polar coordinates of the lines to Cartesian coordinates. This can be done with the pol2cart function.

3. Fit a plane to the line segments using the fitplane function in MATLAB.

4. Extract the Hessian normal form parameters from the plane equation.

Here is an example code snippet:

main.m
% Load the image and perform edge detection
img = imread('image.jpg');
edges = edge(img,'canny');

% Perform Hough line detection
[H,T,R] = hough(edges);
P = houghpeaks(H,5);
lines = houghlines(edges,T,R,P);

% Convert polar to Cartesian coordinates and fit a plane
for k = 1:length(lines)
    xy = [lines(k).point1; lines(k).point2];
    [x,y] = pol2cart(deg2rad(lines(k).theta),lines(k).rho);
    z = 0;
    [n,p] = fitplane([x y z]);
    % Extract Hessian normal form parameters
    d = -n'*p;
    hessian = [n(1) n(2) d];
end
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In this example, hessian will contain the Hessian normal form parameters for the last detected line in the loop.