# A Universal Method for Identifying and Correcting Induced Heave Error in Multi-Beam Bathymetric Surveys

## TL;DR

This paper introduces a two-stage method to identify and correct induced heave errors in multibeam bathymetric surveys, significantly improving data accuracy and terrain mapping quality.

## Contribution

A novel two-stage methodology combining regression diagnostics and PLSR for identifying and correcting induced heave errors in bathymetric data.

## Key findings

- The method reduces the root mean square of bathymetric discrepancies by approximately 78.8% after correction.
- Periodic stripe-shaped distortions along the track direction are nearly eliminated.
- The quality of terrain mosaicking is significantly improved in complex topographic conditions.

## Abstract

Addressing the difficulty of intuitively identifying and effectively correcting induced heave error in multibeam measurements, this paper proposes a two-stage methodology comprising error identification and correction. This scheme includes an error discrimination method based on regression diagnostics and an error correction method based on Partial Least Squares Regression (PLSR). By establishing a mathematical model between bathymetric discrepancies and attitude parameters, statistical diagnosis and effective identification of the error are achieved. To further mitigate the impact of induced heave error on bathymetric data, an elimination model based on PLSR is developed, enabling high-precision prediction and compensation of the induced heave error. Validation using field survey data demonstrates that this method can effectively estimate the installation offset parameters of the attitude sensor. After correction, the root mean square of bathymetric discrepancies between adjacent survey lines is reduced by approximately 78.8%, periodic stripe-shaped distortions along the track direction are essentially eliminated, and the quality of terrain mosaicking is significantly improved. This provides an effective solution for controlling induced heave error under complex topographic conditions.