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What is A Simple and Fast Incremental Randomized Algorithm For Computing Trapezoidal Decompositions and For Triangulating Polygons about?

This paper introduces a simple and efficient randomized algorithm for computing trapezoidal decompositions and triangulating polygons, achieving an expected running time of O(n log* n) for simple polygonal chains. The algorithm is notable for its straightforward implementation and does not rely on complex techniques like divide-and-conquer or recursion. Additionally, it provides a search structure that allows for efficient point location queries within the trapezoidal decomposition.

Author

sjtuqianaj

Language

EN