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											 where x is the interpolated value of the volume at the 
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											 where x is the interpolated value of the volume at the 
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											 midpoint of the line segment connecting the two vertices.*/
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											 midpoint of the line segment connecting the two vertices.*/
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										float min_val=FLT_MAX;
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										float min_val=FLT_MAX;
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										int min_k = -1;
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										int min_k = -1;
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										for(int k=0;k<vpairs.size(); ++k)
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										for(size_t k=0;k<vpairs.size(); ++k)
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										{
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										{
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												int i = vpairs[k].first;
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												int i = vpairs[k].first;
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												int j = vpairs[k].second;
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												int j = vpairs[k].second;
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												Vec3f centre = 
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												Vec3f centre = 
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														(verts[i]->pos + 
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														(verts[i]->pos +