I need to use Voronoi to segment triangles, and now I have implemented triangle regions, but I am unable to segment triangles. I hope you can help me, thank you.

close all; clear all; clc

figure()

x1=0.5;x2=2;x3=3.7;

y1=0.6;y2=3.1;y3=1.2;

triangle_x=[x1,x2,x3,x1];

triangle_y=[y1,y2,y3,y1];

fill(triangle_x,triangle_y,'w');

axis([0,4,0,3]);axis equal;

voronoi((0.7:2),(0.8:1),(2:2.1),(1.7:0.8));

Answer 1

[Sreeram]

Hi @晓茜 刘,

The issue lies in how "voronoi" is being called - its syntax expects two equal-length vectors of x and y coordinates. In the shared code, multiple range expressions are passed, which leads to the following error:

voronoi((0.7:2),(0.8:1),(2:2.1),(1.7:0.8));

Error using voronoi (line 83)
X and Y must be the same size.

To segment a triangle using "voronoi", you need to provide a set of seed points located within or around the triangle. For more details on the correct syntax, refer to the official documentation:

https://www.mathworks.com/help/matlab/ref/voronoi.html#f99-998370

Here is a minimal example for reference:

close all; clear; clc
figure()
x = [0.5, 2, 3.7];
y = [0.6, 3.1, 1.2];
fill([x x(1)], [y y(1)], 'w');
axis([0 4 0 3]); axis equal; hold on;

voronoi([1.5, 2.5, 2], [1.2, 2.2, 1.8]);