how to make the simulation of canopy by fitting with ellipsoid and cone?

The ellipsoid is the view point above, and looks down at the cone to form the canopy.

Answer 1

[BhaTTa]

Hey @tengwei, To simulate a canopy using an ellipsoid and a cone in MATLAB, you can create a 3D plot where the ellipsoid represents the view from above, and the cone forms the canopy structure. Here’s a step-by-step guide to achieve this:

Step 1: Create the Ellipsoid

An ellipsoid can be defined by its semi-axes lengths. You can use the ellipsoid function to generate the coordinates for an ellipsoid.

Step 2: Create the Cone

A cone can be defined by its base radius, height, and orientation. You can use the cylinder function to generate a cone by setting the top radius to zero.

Step 3: Plot the Ellipsoid and Cone

Use the surf function to plot both the ellipsoid and the cone in the same 3D plot.

I have attached the code below , please take it as reference and modify it accordingly:

% Parameters for the ellipsoid
a = 2; % Semi-axis length for x
b = 2; % Semi-axis length for y
c = 1; % Semi-axis length for z

% Generate ellipsoid coordinates
[x, y, z] = ellipsoid(0, 0, 0, a, b, c, 30);

% Parameters for the cone
coneHeight = 3;
coneRadius = 1.5;

% Generate cone coordinates
[coneX, coneY, coneZ] = cylinder([coneRadius, 0], 30);
coneZ = coneZ * coneHeight;

% Plot the ellipsoid
figure;
hold on;
surf(x, y, z, 'FaceAlpha', 0.5, 'EdgeColor', 'none');

% Plot the cone
surf(coneX, coneY, coneZ, 'FaceAlpha', 0.5, 'EdgeColor', 'none');

% Adjust plot settings
axis equal;
xlabel('X-axis');
ylabel('Y-axis');
zlabel('Z-axis');
title('Ellipsoid and Cone Canopy Simulation');
view(3);
grid on;
hold off;

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