Evolution Characteristics of Existing Bridge Safety Based on Algebraic Topology and Image Processing

Abstract

This paper investigates the evolution characteristics of existing bridge safety based on algebraic topology and image analysis. Through the calculation of betti numbers of cross section in bridge pier binarization images, evolution curve of betti numbers time series is observed, which reflects the changes in internal structure of bridge piers, due to the variation of external environment. The analysis results show that when the evolution trend of the betti number appears a smooth change, the bridge pier is in safe condition, and when betti number curve appears sudden fluctuations, the internal structure of piers presents some changes. This study has positive significance for long-term monitoring of bridge safety.