Fast and Accurately Measuring Crack Width via Cascade Principal Component Analysis

Crack width is an important indicator to diagnose the safety of constructions, e.g., asphalt road, concrete bridge. In practice, measuring crack width is a challenge task: (1) the irregular and non-smooth boundary makes the traditional method inefficient; (2) pixel-wise measurement guarantees the accuracy of a system and (3) understanding the damage of constructions from any pre-selected points is a mandatary requirement. To address these problems, we propose a cascade Principal Component Analysis (PCA) to efficiently measure crack width from images. Firstly, the binary crack image is obtained to describe the crack via the off-the-shelf crack detection algorithms. Secondly, given a pre-selected point, PCA is used to find the main axis of a crack. Thirdly, Robust Principal Component Analysis (RPCA) is proposed to compute the main axis of a crack with a irregular boundary. We evaluate the proposed method on a real data set. The experimental results show that the proposed method achieves the state-of-the-art performances in terms of efficiency and effectiveness.