Spectral restoration using semi-blind deconvolution method with detail-preserving regularization

• A detail-preserving (DP) regularization is devised.
• A method of semi-blind deconvolution with DP regularization (SBD-DP) is presented.
• SBD-DP method is used to spectral restoration.
• Simulation experiments verified the effectiveness of SBD-DP.

Peak-details are often smoothed when deconvolution methods are used for spectral restoration. In order to preserve spectral details, detail-preserving regularization is devised and a semi-blind deconvolution method with the detail-preserving regularization (SBD-DP) is proposed. The cost function of SBD-DP is formulated and the numerical solution processes are deduced for restoring spectra and estimating parameter of blur kernel. The deconvolution results of simulated spectra demonstrate that the proposed SBD-DP can restore the spectrum effectively and has a merit on preserving peak details, as well as can estimate the parameter of blur kernel accurately. Then the deconvolution result of experimental Raman spectrum indicates the effectiveness of the proposed SBD-DP method on improving spectral resolution.