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2 years ago
function I = PolygonIntegrate(Cellintel,funct,pts)
% Funct is the x antiderivative of some function defined in the interior
% of Cellintel. Cellintel contains the boundaries of the region of
% interest, ordered counterclockwise and expressed as Bezier Curves
I=0;
for i=1:length(Cellintel)
for j=1:2:(size(Cellintel{i},1))
newfunct= @(t) GreensFunction(t,Cellintel{i}(j:(j+1),:),funct);
Inow=gauss1D(newfunct,0,1,pts);
I=I+Inow;
end
end
end
function I = GreensFunction(t,Side,funct)
xy=dC_eval(Side,t);
x=xy(:,1);y=xy(:,2);
yp = dC_eval_dt(Side(2,:),t);
I=(funct(x,y).*yp)';
% [x y yp I]
end