1. A wear measurement system for a component, comprising: an imaging device configured to obtain a plurality of two-dimensional images of the component; and a controller configured to: generate a three-dimensional point cloud representing the component based on the two-dimensional images; select at least two reference points appearing in each of a subset of images selected from the two-dimensional images; determine locations of the at least two reference points in the three-dimensional point cloud; determine an image distance between the locations; and determine an amount of wear based on the image distance.