How to connect two white dots in binary image ?

I need help, how to connect two white dots in binary image ?. For example the image like this

Answer 1

[KSSV]

I = imread('figure.jpg') ;
I = rgb2gray(I) ;
%%remove the white margin around figure 
I = I(50:500,100:900) ;
[y,x] = find(I==255) ;
%%use kmeans clustering 
[idx,C] = kmeans([x,y],8);  % 8 because there are 8 white patches

imshow(I) ;
hold on
plot(C(:,1),C(:,2),'.b')

plot(C(:,1),C(:,2),'r')

[Gery Dias Claudio]

thank you for your answer @KSSV. But i have a new problem, the white dots connected like this picture. Can you help me ?

[KSSV]

You have the coordinates of centres C of white dot's in your hand..you can join them in the way you want.