I want to create a mesh from 2 plotted 1D PDF plots

I want to create a mesh given the two one dimensional pdf plot whose code is as follows:

mu1=3.4*10^6;

sigma1=0.5*10^6;

X1=normrnd(mu1,sigma1,[200,1]);

sorted_X1=sort(X1);

Y1=normpdf(sorted_X1,mu1,sigma1);

figure

plot(sorted_X1,Y1)

mu2=3;

sigma2=2;

X2=normrnd(mu2,sigma2,[200,1]);

sorted_X2=sort(X2);

Y2=normpdf(sorted_X2,mu2,sigma2);

prior_deltau=zeros(200,1);

for i=1:200

if sorted_X2(i)<=0

prior_deltau(i)=0;

else

prior_deltau(i)=Y2(i);

end

end

figure

plot(sorted_X2,prior_deltau)

With X2 on x-axis and Y2 on y-axis

Answer 1

[Ashutosh Singh Baghel]

Hi Dhruwal,

I understand you wish to plot a 3d mesh with the vectors 'prior_deltaa' and 'Y1' as y-coordinates of points when 'sorted_X2' and 'sortedX1' are x-coordinates of points, respectively. To resolve this issue, the following is one approach -

mu1=3.4*10^6;
sigma1=0.5*10^6;
X1=normrnd(mu1,sigma1,[200,1]);
sorted_X1=sort(X1);
Y1=normpdf(sorted_X1,mu1,sigma1);
% figure
% plot(sorted_X1,Y1)
mu2=3;
sigma2=2;
X2=normrnd(mu2,sigma2,[200,1]);
sorted_X2=sort(X2);
Y2=normpdf(sorted_X2,mu2,sigma2);
prior_deltau=zeros(200,1);
for i=1:200
    if sorted_X2(i)<=0
        prior_deltau(i)=0;
    else
        prior_deltau(i)=Y2(i);
    end
end               
% figure
% plot(sorted_X2,prior_deltau)

[X,Y] = meshgrid(sorted_X2,sorted_X1);     
Z = Y1*prior_deltau';                       
mesh(X,Y,Z);           

Refer to the following MATLAB Documentation page on 'meshgrid' and 'mesh'.