How can I make a set of stimuli composed of pseudorandom dots of the same size and each stimuli having different spatial frequencies/densities?

I'd like to generate 50 stimuli composed of pseudorandom dots of the same size and each stimulus having different spatial frequencies/densities? I think I need to use stochastic screening based on my google searches but I don't know how to generate them. The picture attached is from wikipedia. I'd like to generate something similiar to the smaller squares where we can see how each is increasing in sptial frequency.

Thank you for your help!

Refernce: https://en.wikipedia.org/wiki/Stochastic_screening

Answer 1

[chicken vector]

This is slow and inefficient and can be improven with more pseudo-random techniques, but it does the tricks:

% Dots size:
dotSize = 5;

% Numbers density variations along 'x':
xSize = 1e3;

% Number of dots at first and last x:
minDots = 1;
maxDots = 1000;

% Dots interpolation:
nDots = linspace(minDots, maxDots, xSize);

% Initiliase figure:
figure;
hold on;

% loop over x coordinates:
for x = 1 : xSize
    
    % Number of dots at current 'x':
    numEl = round(nDots(x));
    
    % Create 'x' noise:
    noise = rand(numEl, 1) - .5;
    
    % Plot dots at current 'x':
    scatter(x + noise, rand(1,numEl), dotSize, 'k', 'Filled');
end

% Figure properties:
xlim([0, xSize])
ylim([0, 1])
set(gca, 'Color', 'w', 'XColor', 'None', 'YColor', 'None')

Result: