Illustrate weighted matrix to represents areas

Hi

I am trying to illustrate a square matrix (weights) that represents sqare area that's divided into smaller squares. The values of the 'wiegth' matrix are ones or zeros.

I also have a position vector that has the positions of 2 agents for example within this area (squares are numbered as in first figure).

I want to draw the area while showing the squares that have wights 0f 1, and mark the positions of the agents (something similar to the next figure).

AreaBlocks=36;
NoOfAgents=2;
wieghts=randi(2,sqrt(AreaBlocks))-1;
position=randi(AreaBlocks,[1 NoOfAgents]);
% example:
wieghts=[0 0 0 0 0 0;
     0 0 0 1 0 0;
     0 1 1 1 0 0;
     0 0 1 1 1 0;
     0 1 1 1 0 0;
     0 0 0 0 0 0];
 position=[21 17];

I want to create a function that draws this area with adjustable AreaBlocks and NoOfAgents. Any help or ideas on how to do so?

Thank you

Answer 1

[Guillaume]

You can do something like:

weights = [0 0 0 0 0 0;   ...corrected spelling of the variable
       0 0 0 1 0 0;
       0 1 1 1 0 0;
       0 0 1 1 1 0;
       0 1 1 1 0 0;
       0 0 0 0 0 0];
position = [21 17];

hfig = figure;
hax = gca;

%plot matrix and customise display
imagesc(hax, weights);        
colormap(hax, [1 1 1; 1 .8 0]);  %white and yellowship colour map
hax.XTick = 0.5:size(weights, 2)+0.5;  %move ticks to 'edges' of squares
hax.YTick = 0.5:size(weights, 1)+0.5;
grid(hax, 'on');   %display grid at tick marks
hax.GridAlpha = 1;  %with no transparency
hax.XAxis.Visible = false; %hide axis
hax.YAxis.Visible = false;
axis(hax, 'square');

%plot position
hold(hax, 'on');
[y, x] = ind2sub(size(weights), position);
hplot = plot(hax, x, y, 'Marker', 'o', 'MarkerEdgeColor', 'r', 'MarkerFaceColor', 'r', 'MarkerSize', 12, 'LineStyle', 'none');

[Naza Karim]

Thank you!