Create a square grid with some random points inside that follow the poisson distribution and use each of these points as a starting point for my function

6 vues (au cours des 30 derniers jours)
Hi everyone! Happy new year! I hope everyone is doing well!!
So I have a function that simulates dla (something like brownian motion). But I want to create a square grid with some random points inside of the grid that follow the poisson distribution and from each and everyone of those points call my function to simulate a small dla. Does anyone know how can I do this?

Réponse acceptée

William Rose
William Rose le 13 Jan 2023
If you place a point at random in the unit square with rand(), then the the distribution of points inside small sub-squares will be approximately Poisson.
M=100; %number of simulations
N=200; %number of points per simulation
%Divide the unit square into a 10x10 grid of subsquares
counts=zeros(M,10,10); %number of points in each subsquare in each simulation
for i=1:M
pts=rand(N,2); %x,y coordinates of N points in the unit square
gridpts=floor(10*pts)+[1,1]; %convert point locaitons to indices in the subsquare grid
for j=1:N
hold on
%% PLot expected Poisson distribution
lambda=N/100; %expected points per subsquare
This is the distribution of points in subsquares. The plot shows that the observed number of points per subsquare follows the expected Poisson distribution.
  13 commentaires
William Rose
William Rose le 3 Fév 2023
Geroge, I see that you have posted this question separately elsewhere on this site, so I will think about it, and if I have an answer, I will post it there.

Connectez-vous pour commenter.

Plus de réponses (0)


En savoir plus sur Sparse Matrices dans Help Center et File Exchange

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by