MATLAB: Generate a rondom sequence

random number generator

Greetings,

Please can any one help me about:

How to Generate Generate a random sequence Z ={(i, j)},

where i, j Belongs to {1, 2, 3, 4}, i not equal to j

 i and j are selected randomly.

Best Regards

or you can try :

 a=1:4;
 v=perms(a); % ALL possible combinations 
 Z=[v(:,1:2);v(:,3:4)];% Z is 2 columns

Such as randn() ? Or one of the random distribution tools in the Statistics Toolbox ?

I will give an answer in terms of a single triangle with vertices at P0, P1, and P2, (either in 2D or 3D.) Define

   r1 = rand;
   r2 = sqrt(rand); % <-- The square root operation is important here

Then the value P

   P = (1-r2)*P0+r2*(r1*P1+(1-r1)*P2);

will be a random point within the triangle P0P1P2, with a statistically uniform probability distribution therein.

I will leave the problem of doing this for the entire triangulation to you. It can easily be vectorized.