Abstract

Motivated by the need to monitor mountain glaciers, this article addresses the estimation of a mountain glacier's flowline, along which the movement of the glacier's terminus can be captured. We propose a method for estimating glacier flowlines through local linear regression gradient descent (gd-flow) on digital elevation model (DEM) images. We additionally propose an aggregation method (median gd-flow) that increases the accuracy of gd-flow by combining flowlines corresponding to different gd-flow window sizes. We compare gd-flow and median gd-flow to a standard hydrological flow model (D8) and a variant of D8 (D8-smooth), which applies D8 to a smooth DEM, across 25 glaciers using manually drawn flowlines as a reference standard. We assess the performance via simulations considering variable terrain and image quantization. Our proposed algorithm (gd-flow) outperforms D8 and D8-smooth in both applied and simulated settings, while median gd-flow further improves gd-flow by leveraging the accuracy of multiple window sizes.

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