Triangulation (Advanced Geometry)
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High Quality Content by WIKIPEDIA articles! In advanced geometry, in the most general meaning, triangulation is a subdivision of a geometric object into simplices. In particular, in the plane it is a subdivision into triangles, hence the name. Different branches of geometry use slightly differing definitions of the term. A point set triangulation,i.e., a triangulation of a discrete set of points Psubsetmathbb{R}^{n+1} is a subdivision of the convex hull of the points into simplices such that any two simplices intersect in a common face or not at all and the set of points that are vertices of t...
High Quality Content by WIKIPEDIA articles! In advanced geometry, in the most general meaning, triangulation is a subdivision of a geometric object into simplices. In particular, in the plane it is a subdivision into triangles, hence the name. Different branches of geometry use slightly differing definitions of the term. A point set triangulation,i.e., a triangulation of a discrete set of points Psubsetmathbb{R}^{n+1} is a subdivision of the convex hull of the points into simplices such that any two simplices intersect in a common face or not at all and the set of points that are vertices of the subdividing simplices coincides with P. The Delaunay triangulation is a famous triangulation of a set of points where the circum-hypersphere of each simplex contains none of the points.
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