How to find bifurcation and termination points in fingerprint?

I want to find total no. of termination and bifurcation points on an fingerprint image which is filtered properly.

[KALYAN ACHARJYA]

Please provide the details maths to find total no. of termination and bifurcation points.

so that we can help you to implement in Matlab.

[Nupur Goyal]

[rows colm]=size(Thin_image);
% Avoid the boundary pixels
bifurcation=0

ridge=0
for i=2:rows-1;
    for j=2:colm-1
        sub_matrix=(Thin_image(i-1:i+1,j-1:j+1));
        if sub_matrix(2,2)==0
            sub_matrix=0;
        else 
            sub_matrix=sum(sub_matrix(:))-1;
        if sub_matrix==1 
           P=fprintf('it is a ridge termination'); 
           i
           j
           ridge=ridge+1
        else if sub_matrix==3
                i
                j
                Q=fprintf('it is a bifurcation');
                bifurcation=bifurcation+1
            
        end 
    end 
end
    end
end

I have this code but in this it only shows limited no. of bifurcation point and 0 ridges.pls help

Answer 1

[Image Analyst]

Skeletonize your binary image with bwmorph('skel') then use bwmorph('endpoints') and bwmorph('branchpoints') to find the end points and branch points (bifurcations).