1. Add vertical lines to the Voronoi plot.
- Use the line() function to create primitive lines.
- Use a for loop to plot vertical lines from "y_min" to "y_max" at fixed "x" positions.
% d is the distance between vertical lines
for x = x_min:d:x_max
line([x x], [y_min y_max], 'Color', 'r');
end
2. Count the number of vertical lines inside each Voronoi polygon & their total/average lengths.
- Loop through each polygon (Voronoi region). Turn each Voronoi region into a polyshape using the polyshape() function.
- For each polygon, check which vertical lines intersect it.
- Use intersect() function to find the overlapping segment.
- Then measure the intersection length.
- Use norm() to compute length from intersection vertices.
3.Count the number of polygons each vertical line crosses.
- Loop through all the polygons.
- Use overlaps() to check if a line touches it.
- Count how many polygons each line intersects.
To help you with the implementation, please refer to the following documentation pages for the above mentioned functions:
- line(): https://www.mathworks.com/help/matlab/ref/line.html
- polyshape(): https://www.mathworks.com/help/matlab/ref/polyshape.html
- intersect(): https://www.mathworks.com/help/matlab/ref/double.intersect.html
- norm(): https://www.mathworks.com/help/matlab/ref/norm.html
- overlaps(): https://www.mathworks.com/help/matlab/ref/polyshape.overlaps.html
I hope this helps with your query.
Thanks!
