Abstract
Many landscape features are represented as polygons in GIS. This paper characterizes polygon shapes with the multiplicatively weighted Voronoi (MW-Voronoi) diagram and improves its understanding. The MW-Voronoi diagram's composition is implemented with topological overlay, growth simulation, and vertex calculation methods. The decomposition is done by reversing a polygon to MW-Voronoi point pairs by segment. It is a new approach to record, characterize, and compare polygons with form and process. The implementation also serves as a geographic education and visualization tool. Applications of the methods are presented with precipitation, fire polygon, and population change data.
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