I would like to create a set of random points with a distance separating them from each other. I would also like to create various sets of random numbers

For example i would like to create 50 random points that seprated by a distance of 20 from each other and another set of 27 random points that are seperated by a distance of 12 from each other. SImilarly, i would like to create a set of random for every bin of the histogram with the seperating distances respectively.

I am attaching the code that i used to generate the histogram

clc
clear all
BW = imread('binary.PNG');

[nr,nc,layers] = size(BW);

%% converting the image to 2d so the image can be labledd %%
if layers>1
    BW = BW(:,:,1);
end

% end of lablling %%%%%%%%%%%%%%%%%

binaryimage = BW < 128;
bw = logical(binaryimage);
imwrite(bw, 'imagetoapp.jpg');
%% lablelling the image %%%%%%

[labeledimage, numberofblobs] = bwlabel(binaryimage,8);
props = regionprops(labeledimage, 'Equivdiameter');
x = numel(props);
y = zeros(x,1);
for i = 1:1:length(props)
    y(i,1) = struct2array(props(i,1));
end




%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%% LAbled image to rgb

colouredimage = label2rgb(labeledimage,'jet', [0,0,0.5]);
coloredLabelsImage = label2rgb (labeledimage, 'jet', 'k', 'shuffle');
imshowpair(labeledimage,colouredimage,'montage')

hold on

%% generating histogram and curve fitting it using gaussian function%%%%%%%%%
figure()
y1 = histogram(y,45);
values = y1.Values;
a=y1.BinEdges;
for i = 1 : length(a)-1
    b(i) = mean(a(i:i+1));
end
[barheights, position] = hist(y,45);
positiontranspose = position';
valuestranspose = values';

gauss = 'd +  a*exp(-(1/2)*((x-b)/c)^2)'

startpoints = [40 20 10 0.5];
myfit = fit(positiontranspose,valuestranspose,gauss,'start',startpoints);

hold on
plot(myfit)

z(:,1) = myfit(x);
zt=myfit(b);
%%  plot properties

xlabel('seperation distances')
ylabel('frequency')
hold on; plot(b, zt, 'r*')
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

binary image

[Chris]

The histogram shows the number of regions with a diameter (approximately, since these aren't circles) that fits in each bin. So, for example, the large region in the lower left is the only region with a diameter >100 px.

So that I understand your request: The bin [49.67, 51.94] has two regions. You want two pixels somewhere in a new figure that are ~50 pixels apart from each other? Or two points around the circumference of one of the 50px regions? Or something else?

[Akshay Kumar Pakala]

Hey chris,

thanks for the repy.

I understand your concern.

for eq lets take bin 4 [8.81 11.08]. The avg diameter at bin 4 is 9.945. radius = 4.9725. Thus, i would like to create 16 points (frequency displayed in y axis of the histogram) which are randombly distributed in 3d space but are 4.9725 away from each other and other points aswell.