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25 lines
951 B
25 lines
951 B
2 years ago
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function I = sgPolygonIntegrate(Cellintel,funct,pts,pp)
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% Funct is the x antiderivative of some function defined in the interior
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% of Cellintel. Cellintel contains the boundaries of the region of
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% interest, ordered counterclockwise and expressed as Bezier Curves
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I=0;
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I2=0;
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for i=1:length(Cellintel)
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for j=1:3:(size(Cellintel{i},1))
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newfunct= @(t) RatGreensFunction(t,Cellintel{i}(j:(j+2),:),funct);
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sgl=repmat(roots(fliplr(BernsteinToMonomial(Cellintel{i}(j+2,:)))),ceil(pp/2),1);
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sgl((length(sgl)+1):(pts),:)=[Inf];
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[fout,sglout ] = transf( @(x)newfunct(x) , sgl , [0,1] );
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x = rfejer(sglout);
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I = I + fout(x(1,:))*x(2,:)';
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% I=I+gauss1D(newfunc,0,1,pts);
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end
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end
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end
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function I = RatGreensFunction(t,Side,funct)
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xy=dCR_eval(Side,t);
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x=xy(:,1);y=xy(:,2);
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yp = dCR_eval_dt(Side(2:3,:),t);
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I=(funct(x,y).*yp)';
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end
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