TCS Journal 2010 Journal Article
Equal-area locus-based convex polygon decomposition
- D. Adjiashvili
- D. Peleg
This paper presents an algorithm for convex polygon decomposition around a given set of locations. Given an n -vertex convex polygon P and a set X of k points positioned arbitrarily inside P, the task is to divide P into k equal-area convex parts, each containing exactly one point of X. The algorithm runs in time O ( k n + k 2 log k ).