Efficient Algorithmic Techniques for Several Multidimensional Geometric Data Management and Analysis Problems

TL;DR

This paper introduces new efficient algorithmic techniques leveraging data structures like segment and range trees, along with the sweep-line method, to improve solutions for multidimensional geometric data management and analysis problems.

Contribution

The paper presents novel algorithmic techniques that enhance the efficiency of solving multidimensional geometric data problems using established data structures and methods.

Findings

Improved algorithms for multidimensional geometric data management.

Enhanced efficiency over previous methods.

Applicability to various geometric analysis problems.

Abstract

In this paper I present several novel, efficient, algorithmic techniques for solving some multidimensional geometric data management and analysis problems. The techniques are based on several data structures from computational geometry (e.g. segment tree and range tree) and on the well-known sweep-line method.