Parabola equation in Fortune algorithm for building Voronoi diagram

geometry algorithms conic-sections

Solution 1:

Just noting that the given equation of the parabola should be:

$y=\frac{1}{2(p_{j,y}-l_y)}\left(x^2+2p_{j,x}x+p^{2}_{j,x}+p^{2}_{j,y}-l^2_y\right)$

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