Plot intersection between two surfaces and a plane. (2024)

% Define the grid for the surfaces

[X, Y] = meshgrid(linspace(-5, 5, 100));

% Define the first surface

Z1 = X.^2 + Y.^2;

% Define the second surface

Z2 = 10 - (X.^2 + Y.^2);

% Define the plane (for example, z = 5)

Z_plane = 5;

% Plot the first surface

figure;

surf(X, Y, Z1);

hold on;

% Plot the second surface

surf(X, Y, Z2);

% Plot the plane

patch([-5, 5, 5, -5], [-5, -5, 5, 5], [Z_plane, Z_plane, Z_plane, Z_plane], 'g', 'FaceAlpha', 0.5);

% Calculate and plot the intersection curves

contour3(X, Y, Z1, [Z_plane, Z_plane], 'r', 'LineWidth', 2); % Intersection of first surface with the plane

contour3(X, Y, Z2, [Z_plane, Z_plane], 'b', 'LineWidth', 2); % Intersection of second surface with the plane

% Adjust the view

xlabel('X');

ylabel('Y');

zlabel('Z');

title('Intersection of Surfaces and a Plane');

legend('Surface 1', 'Surface 2', 'Plane', 'Intersection Curve 1', 'Intersection Curve 2');

grid on;

hold off;

• Verknüpfen

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• Verknüpfen

  Direkter Link zu diesem Kommentar

  https://de.mathworks.com/matlabcentral/answers/2124671-plot-intersection-between-two-surfaces-and-a-plane#comment_3177716