How to fix number of points of a cone using Matlab?

Kathryn asked: 2020-09-30 matlab , image processing, fix number

Learn how to control and fix the number of points used to define a cone in MATLAB. Optimize your 3D cone visualizations and simulations with our guide. Get star

Expert Answer

Neeta Dsouza answered . 2025-07-06 09:12:06

Grid pattern

The volume of the cone of base radius R and height h

Vcone = pi*R^2*h/3

Assuming you dsicretize by small volume (dx x dx x dx), you 'll get

N ~ Vcone/dx^3. So if you want an approximative of N with grid pattern:

% Cone parameters
R = 10;
h = 10;
N = 10000;

dx = (pi*R^2*h/3/N)^(1/3);
rvec = linspace(-R,R,ceil(2*R/dx));
hvec = linspace(0,h,ceil(h/dx));
[X,Y,Z] = ndgrid(rvec,rvec,hvec);
is_in_cone = (X.^2+Y.^2) <= (R/h*(h-Z)).^2; % Edit bug fix
Xc = X(is_in_cone);
Yc = Y(is_in_cone);
Zc = Z(is_in_cone);

figure(3)
pointsize = 3,
scatter3(Xc, Yc, Zc, pointsize, 'filled')
axis equal

numel(Xc) % should be close to N

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