论文标题

在多边形问题中解决该点的双透视方法

Dual perspective method for solving the point in a polygon problem

论文作者

Ali, Karim M., Guaily, Amr

论文摘要

已经引入了一种新的方法来解决多边形问题中的点。该方法适用于凸的以及非自我交流的非凸多边形。引入的方法独立于四舍五入,这使其具有容易发生此问题的某些方法的杠杆作用。简要介绍了用于解决此问题的方法,并讨论了引入的方法。从计算成本的角度,将引入的方法与其他现有方法进行了比较。该方法的灵感来自计算流体动力学(CFD)应用,使用不拟合在模拟对象的网格。

A novel method has been introduced to solve a point inclusion in a polygon problem. The method is applicable to convex as well as non-convex polygons which are not self-intersecting. The introduced method is independent of rounding off errors, which gives it a leverage over some methods prone to this problem. A brief summary of the methods used to solve this problem is presented and the introduced method is discussed. The introduced method is compared to other existing methods from the point of view of computational cost. This method was inspired from a Computational Fluid Dynamics (CFD) application using grids not fitted to the simulated objects.

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