plot a 3d function (with three independent variable)

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Niloofar Moosavi 2021-4-24

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评论： Star Strider 2021-4-25

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I am traying to plot

in matlab like this picture! how can i do it? thank you

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Star Strider 2021-4-24

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The isosurface function would likely be most apprroppriate.

See the documentation section on Volume Visualization for more options.

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Star Strider 2021-4-24

在 MATLAB Online 中打开

My pleasure!

If by ‘unfill’ you mean to see inside it, add this assignment —

p.FaceAlpha = 0.75;                                                 % See Inside The Volume!

so the revised code is now —

N = 50;

xv = linspace(-10,10, N);

yv = linspace(-10,10, N);

zv = linspace(-10,10, N);

vfcn = @(x,y,z) 4*x.^2 + 9*y.^2 + 4*z.^2;

[Xm,Ym,Zm] = meshgrid(xv,yv,zv);

Vm = vfcn(Xm,Ym,Zm);

figure

p = patch(isosurface(Xm, Ym, Zm, Vm, 36));

isonormals(Xm,Ym,Zm,Vm,p)

p.FaceColor = 'red';

p.EdgeColor = 'none';

p.FaceAlpha = 0.75; % See Inside The Volume!

daspect([1 1 1])

view(3);

axis tight

camlight

lighting gouraud

grid on

hold on

plot3([-5 5], [0 0], [0 0], '-k')

plot3([0 0], [-5 5], [0 0], '-k')

plot3([0 0], [0 0], [-5 5], '-k')

hold off

text(-6, 0, 0, '$x$', 'Interpreter','latex', 'FontSize',20, 'Horiz','center', 'Vert','middle')

text(0, -6, 0, '$y$', 'Interpreter','latex', 'FontSize',20, 'Horiz','center', 'Vert','middle')

text(0, 0, 6, '$z$', 'Interpreter','latex', 'FontSize',20, 'Horiz','center', 'Vert','middle')

Change that value to something between 0 (fully transparent) and 1 (not at all transparent) to get the result you want.

Niloofar Moosavi 2021-4-25

thanks alot

Star Strider 2021-4-25

As always, my pleasure!

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MATLAB Graphics 2-D and 3-D Plots Surfaces, Volumes, and Polygons Volume Visualization

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plot a 3d function (with three independent variable)

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