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In this paper, a new method based on morphologic research named reconstruction cross-component removal(RCCR) is developed to analyze geometrical scattering waves of an underwater target. Combining the origin of the cross-component in Wigner-Ville distribution, the highlight model of target echoes and time-frequency features of linear frequency-modulated signal can remove cross-components produced by multiple component signals in Wigner-Ville distribution and recover the auto-components of output signals. This method is used in experimental data processing, which can strengthen the real geometric highlights, and restrain the cross components. It is demonstrated that this method is helpful to analyze the geometrical scattering waves, providing an effective solution to underwater target detection and recognition.