how to generate random point that have fix distance between each point

i can generate random point within a specific area

like this

x=rand(1,100)*5

y=rand(1,100)*5

scatter(x,y)

but i want each point generated within x<1 & y<1

must not be less than 0.05 near the pervous generated points. so no interaction between each point generated.

is it any fucntion can do thing like that?

Answer 1

[Matt J]

Another idea is to generate a chequerboard, and then pick a random point inside all the black (or all the white) squares.

[x,y]=ndgrid((0:2:19)/20);

x=x(:)+rand(size(x(:)))*0.05;
y=y(:)+rand(size(y(:)))*0.05;

scatter(x,y)

Answer 2

[dpb]

I see two possible simple alternatives--

1. Just use rejection technique to remove those within the prescribed distance metric(*), or
2. Generate a regular grid at prescribed distance beginning at a random point; then make a random selection of N of those points.

(*) Is this global or, just as the Q? is worded, successive realizations; could still be R<Dmin between new point and some prior point earlier than the previous?