论文标题
一种不精确的匹配方法，用于将平面曲线与一般弹性指标进行比较
An inexact matching approach for the comparison of plane curves with general elastic metrics
论文作者
论文摘要
本文介绍了一种新的数学公式和数值方法，以计算浸入平面曲线之间的距离和地球化学。我们的方法结合了Kurtek和Needham最近引入的一阶弹性指标的一般简化变换，并使用参数变化的fidelity指标放松了匹配约束。该公式的主要优点是它导致离散曲线的简单优化问题，并且提供了一种灵活的方法来处理嘈杂，不一致或损坏的数据。这些好处是通过一些初步的数值结果来说明的。
This paper introduces a new mathematical formulation and numerical approach for the computation of distances and geodesics between immersed planar curves. Our approach combines the general simplifying transform for first-order elastic metrics that was recently introduced by Kurtek and Needham, together with a relaxation of the matching constraint using parametrization-invariant fidelity metrics. The main advantages of this formulation are that it leads to a simple optimization problem for discretized curves, and that it provides a flexible approach to deal with noisy, inconsistent or corrupted data. These benefits are illustrated via a few preliminary numerical results.
