I have randomly placed 10 nodes in a 100x100 area. Now I need those node to get connected to each other that are within the provided range.

I am sending my entire code in this. Please check it File 1:

clc;
close all;
clear all;
x=randi(100,1,10)
y=randi(100,1,10)

save('anch','x','y')

File 2:

clc;
close all;
clear all;

load 'anch.mat'

Pop = [x ;y]
N_nodes=10;
[m n] = size(Pop);
Dist = zeros(m, n);
for f = 1 : N_nodes

   for s = 1 : N_nodes
        Dist(f, s) = sqrt((Pop(1, s) - Pop(1, f)).^ 2 + (Pop(2, s) - Pop(2, f)).^ 2);
        save('Distance.mat','Dist');
   end
  end

File 3:

clc;
close all;
clear all;
load 'unknwn.mat'
load 'anch.mat'
load 'Distance.mat'
plot(x,y,'kd','MarkerSize',8,'lineWidth',2,'MarkerFaceColor','c');
axis([0,100,0,100])
grid on;
hold on;
plot(x1,y1,'bo','MarkerSize',8,'lineWidth',2,'MarkerFaceColor','m');
legend('Anchor nodes','Unknown nodes')

range =40;
%connecting the array according to the anchor nodes that lie in the
%provided range
for d=1:length(Dist)
       for i=1:length(x)
       if((i+1)<=length(x))
       for j=(i+1):length(x)
       if((j+1)<=length(x))
       for(k=(j+1):length(x))
       C=[x(k);y(k)]
       B=[x(j);y(j)]
       A=[x(i);y(i)]

if (Dist(A):Dist(B))<=range
         line([x(i) x(j)],[y(i) y(j)]);    
end
if (Dist(B):Dist(C))<=range
        line([x(j) x(k)],[y(j) y(k)]);
end    
if (Dist(C):Dist(A))<=range
        line([x(k) x(i)],[y(k) y(i)]);
end

          end
          end
          end
         end
         end
  end        

for i=1:10

text(x(i),y(i),sprintf('(%d,%d)',x(i),y(i)))
end

There are many nodes which has its neighboring nodes within the provided range but its not Connecting. Please help me out to solve

 this problem.

[Guillaume]

There are many nodes which has its neighboring nodes within the provided range but its not Connecting

You need to be a lot clearer about what you mean. What provided range?, what does its refer to? What does not connecting mean?

Rather than giving us code that does not work, tell us what it's supposed to be doing.

Note that file2 could be greatly simplified to

Pop = load('anch.mat');
Dist = hypot(Pop.x - Pop.x', Pop.y - Pop.y');  %assumes R2016b or later
save('Distance.mat', 'Dist');

If you're going to be keeping your current file2 at least move the save out of the loop. At the moment you're overwriting Distance.mat at each step of the loop.

[Nisha Mathew]

The range is given in the code itself. Range means every node must be having a defined area of coverage. Whichever code will be falling within that range of each node they are to be connected.

The above mentioned for file 2 isn't working either. It is giving the following error. | |

Error using  - 
Matrix dimensions must agree.

Error in Distance_save (line 22)
Dist = hypot(Pop.x - Pop.x', Pop.y - Pop.y');  %assumes R2016b or later||

[Guillaume]

Re: file2, as per the comment it needs R2016b or later. On earlier versions, it's

Dist = hypot(bsxfun(@minus, Pop.x, Pop.x'), bsxfun(@minus, Pop.y, Pop.y'));

Re: the rest. What does they are to be connected mean? A line is to be traced between them?

[Nisha Mathew]

Yes.. A line is to be traced between them.

Answer 1

[KSSV]

x=randi(100,1,10) ;
y=randi(100,1,10) ;

dt = delaunayTriangulation(x',y') ;

triplot(dt)

Answer 2

[Guillaume]

File3:

Unknown = load('unknwn.mat');
Pop = load('anch.mat');
Dist = load('Distance.mat');
Dist = Dist.Dist;
figure;
plot(Pop.x, Pop.y, 'kd', 'MarkerSize', 8, 'lineWidth', 2, 'MarkerFaceColor', 'c');
axis([0,100,0,100])
grid on;
hold on;
plot(Unknown.x1, Unknown.y1, 'bo', 'MarkerSize', 8, 'lineWidth', 2, 'MarkerFaceColor', 'm');
legend('Anchor nodes','Unknown nodes')

range = 40;
[A, B] = find(triu(Dist < range, 1));  %only use upper triangle to avoid diagonal (where dist is 0) and symmetric lower triangle
line(Pop.x([A; B]), Pop.y([A; B]))

Notes:

• Clearly you overuse loops when vectorising is much faster and simpler
• I'm loading your mat files into variables rather than just popping variables into the workspace. I recommend you do the same. It's a lot safer.

[Nisha Mathew]

I am getting this error now

Undefined function 'x' for input arguments of type 'double'.

Error in Demo1_apit (line 59)
line(x([A; B]), y([A; B]))

[Guillaume]

Yes, it should have been Pop.x and Pop.y. Fixed.

[Nisha Mathew]

It still couldn't solve my problem. The output that the above code is like this

If I give the range = 20, then the nodes that are connected(indicated in the red circle) should not be connected because those nodes are far apart from each other. Whereas the other nodes which are in that range(indicated in green circle) are not connected to each other at all.

[Guillaume]

Can you attach the anch.mat file and the distance.mat file that results in the above graph, so I can investigate?

[Nisha Mathew]

I have attached my files here.

[Guillaume]

No, I asked for the mat files.

[Nisha Mathew]

Here are the mat files

[MATLAB feng]

Hello, may I ask, I need to pass an S curve in a square area, and then establish an anchor node at the distance of each corner. How should I build it, I hope to give some advice