How to mirror a 3D plot in same coordinates?

Question

vilas math 2021-5-23

0
链接

此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/837603-how-to-mirror-a-3d-plot-in-same-coordinates

回答： Tejas 2024-2-22

clear
clc
m = 100 ; n = 100 ; 
zv = linspace(-1,1,m);
phiv = linspace(0,2*pi,n);
[zv, phiv] = meshgrid(zv,phiv);
rv = ones(size(zv))*1;
% Used the gaussian formula 
%rv2 = -0.8*exp(-1.2*(phiv-4).^2)+1;
% Meshing(Question?)
%[Theta, R] = meshgrid(phiv,rv);
L = linspace(-0,0.5,50);
L=[L fliplr(L)];
zb1 = zeros(m,n,length(L)) ; 
% checking the geometry in Z-direction by value "f"
phiv_loc = phiv(:,1);   % take 1st column
for i = 1:length(L)
    f=L(i);
    rv3(:,i) = -f*exp(-1.2*(phiv_loc-4).^2)+1;
end
%mesh(Theta,R,zv)
% figure(1)
% plot3(phiv,rv,zv)
% hold on
% plot3(phiv,rv2,zv)
% hold on
% plot3(phiv,rv,zb1(:,:,1))
% axis equal
% Converting polar to cartesian cordinates in (x,y,z) direction
[x,y,z]    = pol2cart(phiv,rv,zv);
%[x2,y2,z2] = pol2cart(phiv,rv2,zv);
[x3,y3,z3] = pol2cart(phiv,rv3,zv);
% Coverting Pol2cart inside the loop
%[x3,y3,z3] = pol2cart(phiv,rv,zb1);
figure(2)
%plot3(x,y,z)
%hold on
surf(x3,y3,z3)
%hold on
%plot3(x3,y3,z3(:,1))
axis equal
ax = gca;
%set(gca,'xdir','reverse')
flip(figure(2),2)

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Answer 1

Tejas 2024-2-22

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链接

此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/837603-how-to-mirror-a-3d-plot-in-same-coordinates#answer_1414303

在 MATLAB Online 中打开

Hello Vilas,

I am assuming that by “mirror of a 3-D plot”, you meant mirror of plot along some axis.

Below is an example of how negating the coordinates of an axis creates a mirror image of plot along that axis. I have created two plots, first plot to show the original plot and second plot to show the mirror of that plot along y-axis.

m = 100; n = 100;
zv = linspace(-1,1,m);
phiv = linspace(0,2*pi,n);
[zv, phiv] = meshgrid(zv,phiv);
rv = ones(size(zv))*1;
L = linspace(-0,0.5,50);
L = [L fliplr(L)];
zb1 = zeros(m,n,length(L));
phiv_loc = phiv(:,1);
rv3 = zeros(size(zv,1), length(L));
for i = 1:length(L)
    f = L(i);
    rv3(:,i) = -f*exp(-1.2*(phiv_loc-4).^2)+1;
end
[x,y,z] = pol2cart(phiv,rv,zv);
[x3,y3,z3] = pol2cart(phiv,rv3,zv);
figure(1)
surf(x3,y3,z3)
axis equal
xlabel('X-axis')
ylabel('Y-axis')
zlabel('Z-axis')
title('Original 3D Plot')
figure(2)
surf(x3,-y3,z3)
axis equal
xlabel('X-axis')
ylabel('Y-axis')
zlabel('Z-axis')
title('Mirrored 3D Plot along y-axis')