A Raster-Based Algorithm for Voronoi Diagram Considering to Terrain

Abstract

In most of traditional raster-based algorithms for Voronoi diagram, terrain was less considered, so these algorithms are difficult to describe the Voronoi generating process which is affected by terrain. An Inflation Prototype with Terrain Constraints (IPTC) was proposed. The core of the prototype is what extracts terrain factors that restrict or promote Voronoi generation, and combines instance to convert the effect of these factors into a value of time-consumption that expresses how long each pixel needs to inflate. In accordance with inflation pattern of 8-neighborhoods, calculate accumulative time-consumption from generator to a specified pixel to judge which Voronoi region the pixel belongs to. It is shown in an experiment which takes time-consumption as the distance of the traditional raster-based algorithms to provide many potential applications for solving generating of space object.