Make Random Walk into 3D
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Kelly Vermilyea
le 18 Sep 2019
Modifié(e) : Bruno Luong
le 27 Août 2020
I have a code set up for a randomwalk already, but how would I alter it to make a 3D Random Walk?
steplenght = .01;
positions = zeros(2,100000);
currentPosition = [0;0];
currentTimeStep = 2;
while currentPosition(1,1)^2 + currentPosition(2,1)^2 < 1
randomDirection = 2*pi*rand();
unitDisplacementVector = [cos(randomDirection); sin(randomDirection)];
displacementVector = stepLength*unitDisplacementVector;
currentPosition = currentPosition + displacementVector;
positions(:,currentTimeStep) = currentPosition;
currentTimeStep = currentTimeStep + 1;
end
positions = positions(:,1:currentTimeStep-1);
hold on;
scatter(positions(1,:),positions(2,:),2,'filled');
theta = linspace(0,2*pi);
plot(cos(theta),sin(theta));
1 commentaire
Walter Roberson
le 18 Sep 2019
It is confusing that you have
steplenght = .01;
but your code refers to stepLength . Someone reading the code would be wondering whether there was the intention that the two different variables are related somehow.
Réponse acceptée
darova
le 18 Sep 2019
I do this
dt = .01;
[x, y, z] = deal( 0 );
[X,Y,Z] = sphere(30);
surf(X,Y,Z,'edgecolor',[1 1 1]*0.8,'Facecolor','none')
hold on
k = 0;
while norm([x y z])^2 < 1 && k < 1000
t = 180*(rand-1);
p = 180*(rand-1);
% spherical system of coordinates
x = x + dt*cosd(t)*cosd(p);
y = y + dt*cosd(t)*sind(p);
z = z + dt*sind(p);
k = k + 1;
pause(0.1)
plot3(x,y,z,'.b')
end
hold off
2 commentaires
ST
le 27 Août 2020
Can you update the code for the Random Waypoint Mobility in 3D? I want to add different velocities, directions and pause times for each node within the boundaries of 3D cube.
Bruno Luong
le 27 Août 2020
Modifié(e) : Bruno Luong
le 27 Août 2020
The code by danova is flawed in the sense that create an anisotropic walk. The particle ends up systematcally near the pole. Generate direction with uniform spherical angle coordinates will condense the direction to north/south.
I call this climatic walk. ;-)
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