Scattering noise affects spectral data collected with spectral instruments. Spectral data curves measured for the same mineral species at different particle sizes and concentrations can produce an offset, which reduces the accuracy for matching the spectral data. To solve this problem, the present study reported a method based on the multi-scattering correction using merged augmented Lagrangian, in order to eliminate scattering noise and the resulting offset of spectral data; the method was firstly used accurate preprocessing, and then was used to similarity matching measurements combined with the spectral angles of the data. Six minerals and six pigments in the murals were selected as samples for the experiments. The spectral matching method was used to match and analyze the spectral data, which eliminated scattering noise and offset. Experimental results show that spectral data corrected using the proposed method are more accurately matched than uncorrected spectral data. In addition, the proposed method is more effective for mineral-species identification.