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What is Voronoi

Describing Nature Through Visual Data
A Voronoi diagram, named after Russian mathematician Georgy Voronoi, partitions the space based on the minimal distance to each site. Voronoi diagrams can be used for discretization of the surface as well as space. Inspiration with these structures results in development of two- and three-dimensional structural elements that can be used in computer graphics, architectural design and urban planning.
Published in Chapter:
Random Processes and Visual Perception: Stochastic Art
Jean Constant (Hermay.org, USA)
Copyright: © 2021 |Pages: 15
DOI: 10.4018/978-1-7998-5753-2.ch002
Abstract
The aim of this chapter is to explore a classic stochastic problem using the tools of the graphics environment. Stochastic processes are associated with the concepts of uncertainty or chance. Major areas of research in mathematical and applied sciences, statistics, finance, and artificial intelligence/machine learning benefit from the knowledge gained studying this process. Visual Art also depends on elements of uncertainty and chance. To explore the commonality of concern between Science and Art and better understand stochastic processes, the author organizes his research according to the Knowledge Visualization framework, examines a graph theory reference model called the “shortest route problem,” and, adding additional elements specific to the art-making process, shares his results to highlight the relevance of interdisciplinary studies in the fields of randomness and visual perception.
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