I have an enrgy equation like
The algorithm is implemented by Lankton , and you can download the code and image code . I want to build on this code to draw an energy function. Note that F is calculated in this code. My target energy figure such as
I tried to implement it using this code. But this is the wrong answer
Energy=[];
%--main loop
for its = 1:max_its % Note: no automatic convergence test
%-- get the curve narrow band
idx = find(phi <= 1.2 & phi >= -1.2)';
[y x] = ind2sub(size(phi),idx);
%-- get windows for localized statistics
xneg = x-rad; xpos = x+rad; %get subscripts for local regions
yneg = y-rad; ypos = y+rad;
xneg(xneg<1)=1; yneg(yneg<1)=1; %check bounds
xpos(xpos>dimx)=dimx; ypos(ypos>dimy)=dimy;
%-- re-initialize u,v,Ain,Aout
u=zeros(size(idx)); v=zeros(size(idx));
Ain=zeros(size(idx)); Aout=zeros(size(idx));
F_energy=zeros(size(idx));
%-- compute local stats
for i = 1:numel(idx) % for every point in the narrow band
img = I(yneg(i):ypos(i),xneg(i):xpos(i)); %sub image
P = phi(yneg(i):ypos(i),xneg(i):xpos(i)); %sub phi
upts = find(P<=0); %local interior
Ain(i) = length(upts)+eps;
u(i) = sum(img(upts))/Ain(i);
vpts = find(P>0); %local exterior
Aout(i) = length(vpts)+eps;
v(i) = sum(img(vpts))/Aout(i);
F_energy(i)=sum((img(upts)-u(i)).^2)+sum((img(vpts)-v(i)).^2); %% Compute the first term in (5) without integrate
end
%-- get image-based forces
F = -(u-v).*(2.*I(idx)-u-v);
% Compute the second term in (5)
u=phi<=0;
bw2=bwperim(u);
Length_phi=sum(sum(bw2));
Energy=[Energy (sum(F_energy(:))+alpha.*Length_phi)];
end
Maybe this is such a difficult task because the energy function is so complex. However, all this is implemented using the above code, with the exception of the term enrgy. I hope you understand and help me draw an enrgy function. thanks in advance
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