How can i save two points with lambda in a vector ?

i have four coordinates and my formula is that i want from two points for example P1(-1|1) and P2(1|1) many points on this "connection or line". I have P3(1|-1) and P4(-1|-1)

so vector for two points is v = P1 + Lambda + (P2 -P1) for Lambda is [0:0.2:1] so i can make more points for this points and connected them.

But how can i transform this in matlab with a for-loop ?

I want only rectangle so the connection and calculation is possible for P1 and P2, P2 and P3, P3 and P4.

------------------------

index

for i =1:4

for Lambda = 0:0.25:1;

v(index) = x(i),y(i) + Lambda * ( x(i+2),y(i+2) - (x(i),y(i)))

index=index+1;

end

i tried this but i don't think that is right

Answer 1

[Dimitris Kalogiros]

Run this:

clear; clc; close all;

%input points
Points=[1 1; -1 1; -1 -1; 1 -1 ];

% make 'Points' to represent an closed line
Points=[Points; Points(1,:)];

% plot rectangular, using a loop
figure(1); hold on;
numPoints=size(Points,1);
for n=1:numPoints-1
    n_start=n;
    n_end= 1+n;
    figure(1); plot(Points(n_start:n_end,1), Points(n_start:n_end,2),'-b*', 'linewidth', 1);
    zoom on; grid on;
end

% make figure looking better
axis([min(Points(:,1))-1 max(Points(:,1))+1 min(Points(:,2))-1 max(Points(:,2))+1]);
ax=gca;
ax.XAxisLocation = 'origin';
ax.YAxisLocation = 'origin';

[Jan Nabo]

function out =  Randerzeugen(xwert,ywert,X,Y,isInside,block1,randdicke)
sz_x=size(xwert,1);
out=false(size(X));
if (~isInside == true)
Points=[xwert(:) ywert(:)];
Points=[Points;Points(1,:)];
numPoints=size(Points,1);
Lambda= 0:0.25:1;
for n=1:numPoints-1
  out = out | (Points(n,1)+Lambda *( Points(n,2)-Points(n,1))) <= randdicke*2;
end

elseif (isInside == true)
    block1=~block1;
    for i=1:sz_x
        out=out | (((X-xwert(i)).^2)+((Y-ywert(i)).^2) <= randdicke*2);
    end
    out= and(out,block1);
end
end

the problem is... i have to save the points from the calculation and compare it with my logical "out" you can see that in if(~isInside == true) there i want to save the points and compare it later with the logical out. it will be a 3D-Object. But how can i use my formula to calculate each points.