Hello Matteo,
To obtain additional points between the vertices of the Voronoi diagram, you can interpolate between the vertices. To interpolate points between Voronoi vertices, you can use the "linspace" function to generate evenly spaced points between each pair of vertices. Please refer to the following approach:
x = rand(1, 10);
y = rand(1, 10);
[vx, vy] = voronoi(x, y);
% Number of points to interpolate between each pair
numPoints = 3;
% Initialize arrays to hold interpolated points
interpVx = [];
interpVy = [];
% Loop through each pair of Voronoi vertices
for i = 1:length(vx)-1
% Get the current pair of vertices
x1 = vx(i);
y1 = vy(i);
x2 = vx(i+1);
y2 = vy(i+1);
% Interpolate points between the current pair of vertices
interpX = linspace(x1, x2, numPoints+2); % +2 to include the endpoints
interpY = linspace(y1, y2, numPoints+2);
% Exclude the first and last points (original vertices)
interpVx = [interpVx, interpX(2:end-1)];
interpVy = [interpVy, interpY(2:end-1)];
end
figure;
plot(x, y, 'r+', vx, vy, 'b-');
hold on;
plot(interpVx, interpVy, 'go');
title('Voronoi Diagram with Interpolated Points');
xlabel('x');
ylabel('y');
legend('Original Points', 'Voronoi Edges', 'Interpolated Points');
hold off;
Please refer to the documentation link of "linspace" function:
I hope this helps with your query!
