The Voronoi tessellation method in astronomy

TL;DR

The paper reviews the diverse applications of Voronoi tessellation across multiple scientific disciplines, emphasizing its innovative use in astronomy for analyzing galaxy distributions and cosmic structures.

Contribution

It highlights novel applications of Voronoi tessellation in astronomy, particularly in large-scale galaxy distribution and cosmic web analysis, demonstrating its practical utility.

Findings

Effective in analyzing large-scale galaxy distributions

Reveals quasi-periodicity in cosmic surveys

Assists in cosmic microwave background constraints

Abstract

The Voronoi tessellation is a natural way of space segmentation, which has many applications in various fields of science and technology, as well as in social sciences and visual art. The varieties of the Voronoi tessellation methods are commonly used in computational fluid dynamics, computational geometry, geolocation and logistics, game dev programming, cartography, engineering, liquid crystal electronic technology, machine learning, etc. The very innovative results were obtained in astronomy, namely for a large-scale galaxy distribution and cosmic web pattern, for revealing the quasi-periodicity in a pencil-beam survey, for a description of constraints on the isotropic cosmic microwave background and the explosion scenario likely supernova events, for image processing, adaptive smoothing, segmentation, for signal-to-noise ratio balancing, for spectrography data analysis as well as in the moving-mesh cosmology simulation. We briefly describe these results, paying more attention to the practical application of the Voronoi tessellation related to the spatial large-scale galaxy distribution.