Jun 2, 2021 · Specifically, we prove that for a generic set of n ≥ 5 points in ℝ³, the number of regions in the order-k Voronoi tessellation is N_{k-1} - ...
Abstract. Generalizing Lee's inductive argument for counting the cells of higher order Voronoi tessellations in R2 to R3, we get precise relations in terms ...
Missing: ℝ³ | Show results with:ℝ³
Specifically, we prove that for a generic set of n ≥ 5 points in ℝ³, the number of regions in the order-k Voronoi tessellation is N_{k-1} - binom(k,2)n + n, ...
Sharif Digital Repository / Sharif University of Technology - Counting cells of order-k voronoi tessellations in ℝ3 with morse theory,Author: Biswas, ...
Missing: ℝ³ | Show results with:ℝ³
Generalizing Lee's inductive argument for counting the cells of higher order Voronoi tessellations in ℝ² to ℝ³, we get precise relations in terms of Morse ...
Counting cells of order-k voronoi tessellations in ℝ with morse theory. R Biswas, S Cultrera di Montesano, H Edelsbrunner, M Saghafian. Leibniz International ...
Missing: ℝ³ | Show results with:ℝ³
We consider k-center, k-median, and k-means clustering, and obtain the following results. Let B := {b1, . . . , bn} be a collection of disjoint balls in R, ...
Counting Cells of Order-k Voronoi Tessellations in ℝ³ with Morse Theory. Authors: Ranita Biswas, Sebastiano Cultrera di Montesano, Herbert Edelsbrunner, and ...
Jul 2, 2024 · Winners ; 2021, Sebastiano Cultrera di Montesano "Counting Cells of Order-k Voronoi Tessellations in R3 with Morse Theory" ; 2020, Svenja ...
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Abstract. The order-k Voronoi tessellation of a locally finite set X ⊆ Rn decomposes Rn into convex domains whose points have the same k nearest neighbors ...
Missing: ℝ³ | Show results with:ℝ³