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Diagrame Voronoi

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Formalizare<br />

Generalităt¸i<br />

Proprietăt¸i<br />

<strong>Diagrame</strong> <strong>Voronoi</strong> ¸si triangulări Delaunay<br />

Un algoritm eficient<br />

◮ Fie P = {P1, P2, . . . , Pn} o mult¸ime de puncte din planul R 2 .<br />

◮ Diagrama <strong>Voronoi</strong> a lui P (notată Vor(P)) este o divizare a<br />

planului R 2 în n celule V(P1), . . . , V(Pn) cu proprietatea că<br />

P ∈ V(Pi) ⇔ d(P, Pi) ≤ d(P, Pj), ∀j = 1, . . . , n.<br />

Mihai-Sorin Stupariu <strong>Diagrame</strong> <strong>Voronoi</strong>

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