稠密匹配可以看做匹配代价最小化的过程，而匹配代价的计算是各种稠密匹配算法的必要步骤。分析取得良好效果的测地线距离局部加权窗口匹配算法，针对测地线权值计算的核心部分进行改进，提出一种环式的测地线权值计算方法，并详细介绍改进后的权值计算方法应用于局部加权匹配的性能优势。最后通过对比实验证明：在不损失精度的前提下，改进后的匹配代价整体计算时间提高了近1/2。

Dense matching can be generalized as a process of energy minimization.The computation of matching cost is an independent step for Dense matching.We analyzed a recent well-performed weighted local matching algorithm，with which we proposed an improvement of core steps named the computation of geodestic distance.After introducing the advancements of the new algorithm in detail，we show that：nearly 1/2 time cost of matching cost computation was saved without loss of precision in our experiment.