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An algorithm for maximum inscribed circle based on Voronoi diagrams and geometrical properties

Beyhan, Burak ; Güler, Cüneyt ; Tağa, Hidayet

Journal of geographical systems, 2020-07, Vol.22 (3), p.391-418 [Periódico revisado por pares]

Berlin/Heidelberg: Springer Berlin Heidelberg

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Título:
An algorithm for maximum inscribed circle based on Voronoi diagrams and geometrical properties
Autor: Beyhan, Burak ; Güler, Cüneyt ; Tağa, Hidayet
Assuntos: Agricultural engineering ; Algorithms ; Astronomy ; Cartography ; Computation ; Computer Appl. in Social and Behavioral Sciences ; Computer programs ; Econometrics ; Economics ; Economics and Finance ; Forestry ; Freeware ; Geographic information systems ; Geographical Information Systems/Cartography ; Geology ; Geospatial data ; Landscape/Regional and Urban Planning ; Open source software ; Original Article ; Polygons ; Public software ; Regional/Spatial Science ; Security ; Software ; Urban Economics ; Voronoi graphs
É parte de: Journal of geographical systems, 2020-07, Vol.22 (3), p.391-418
Descrição: The aim of this study is to formulate an algorithm for the calculation of maximum inscribed circle (MIC) that can be placed within a polygon and to implement it by using free and open source software (FOSS) for GIS. MIC is used in a wide range of fields, ranging from cartography, planning, agriculture, forestry and geology to medicine, biology, astronomy, security, and engineering applications. Due to the complexity of the problem, there is no single and simple algorithm for the computation of MIC for arbitrary polygons. The algorithm developed in this study (MICGIS) for the computation of MIC can be applied to both convex and concave polygons represented in vector data format. MICGIS makes use of the Voronoi diagrams and geometrical properties by benefiting from the solutions proposed for the special cases of Apollonius’ Problem. Thanks to the employment of Voronoi diagrams and FOSS for GIS, MICGIS also works successfully for polygons with holes. For the implementation of MICGIS, FOSS libraries written in Java are used. What is evident from the various runs of the script produced on the base of MICGIS for a set of arbitrary polygons is that it is both faster and more accurate in finding MIC compared with the alternative algorithms and software.
Editor: Berlin/Heidelberg: Springer Berlin Heidelberg
Idioma: Inglês

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An algorithm for maximum inscribed circle based on Voronoi diagrams and geometrical properties

Beyhan, Burak ; Güler, Cüneyt ; Tağa, Hidayet

Berlin/Heidelberg: Springer Berlin Heidelberg

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