Quantitative measurement of apparent defects using underwater vision-based techniques is essential for structural inspection of submerged bridge components. However, measurement accuracy is greatly limited by nonlinear imaging distortions caused by multi-medium refraction and viewport deformation under hydrostatic pressure. To overcome these challenges, this paper introduces a multi-refraction correction model that accounts for refractive interface deformation. A nonlinear underwater imaging framework is established by integrating a spatial coordinate transformation-based calibration method with deformation analysis of the viewport. The feasibility and accuracy of the proposed approach are validated through underwater checkerboard corner-detection experiments. Compared with traditional multi-plane refraction correction method, the proposed model enhances measurement precision by more than 40 %. Additional experiments on submerged bridge pier components show that the measurement errors for apparent defect dimensions consistently remain below 5 %, highlighting the strong potential of the method for practical implementation in underwater visual inspection of bridge infrastructure.
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