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<p>When creating a triangulation network, the Delaunay condition aims to form triangles such that their circumscribed circles do not contain any other points from the dataset. In simpler terms, it ensures that triangles are "well-shaped" rather than "skinny," making the network more balanced and useful for various applications.</p>
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<p><img src="triangle/delaunay_condition.svg" alt="Delaunay condition" /></p>
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<p>If the condition \(\alpha + \beta &lt; \pi\) holds, it implies that the point \(P\) w