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- W2950007178 abstract "We defined several functionals on the set of all triangulations of the finite system of points in d-space achieving global minimum on the Delaunay triangulation (DT). We consider a so called parabolic functional and prove it attains its minimum on DT in all dimensions. As the second example we treat mean radius functional (mean of circumcircle radii of triangles) for planar triangulations. As the third example we treat a so called harmonic functional. For a triangle this functional equals the sum of squares of sides over area. Finally, we consider a discrete analog of the Dirichlet functional. DT is optimal for these functionals only in dimension two." @default.
- W2950007178 created "2019-06-27" @default.
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- W2950007178 date "2003-12-02" @default.
- W2950007178 modified "2023-09-27" @default.
- W2950007178 title "Properties of the Delaunay Triangulation" @default.
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