GPU-based Arbitrary Polygon Intersection Area Algorithm

Abstract

Computation of the intersection area of polygons is an important mathematical problem. For a long time, the processing of arbitrary polygons has been an important and difficult research topic. In this paper, we proposed a GPU-based rasterized polygon intersection area algorithm, GPURAS, and its accelerated versions, GPURASMC, which use Monte Carlo method and prove the correctness of these algorithms. Experiments and comparisons were performed using simple, arbitrary complex, and large-scale polygons. The results show that, compared to CPU-based algorithms, the efficiency of our algorithms is hundreds of times superior.