基于复合因子的空间划分耦合模型

Coupling Model of Spatial Partition Based on Composite Factor

地形因子和数据密度是空间划分最重要的依据,利用微积分原理推导两者在微元定义下的函数关系,通过等价替代方程进行系统消参,减小系统误差,并结合正三角形空间划分和迭代思想推导其耦合模型,通过有限区域的变比例划分实现空间优化的目标,解决了非凸集合产生非法多边形的问题,最后通过算例验证和对比分析其优越性。

This paper used the principles of calculus to deduce the function of both under the Micro-element defines,and used equivalent alternative equation systems to eliminate parameter for reducing the system error.And then,the paper combined with the triangle spatial partition and iterative thought to deduce the coupled model,with limited regional division of the variations scale achieving the goals of spatial optimization,and solved the problem of illegal collection of non-convex polygon.Finally,the paper verified the superiority of this model by an example and comparison of test.