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Estimating an accuracy spectrum from a linearly degraded and noisy data record is often desirable in infrared spectroscopy application. In this paper, we proposed a new framework which can estimate the desired spectrum and the instrument function simultaneously from the degraded data. Firstly, the instrument function is parametrically represented as a Lorentzian function for the first time. Then, we construct the cost functional with the DE regularization, and minimize the functional to obtain the desired spectrum and instrument function. It has been found that the program is very useful to determine accurate line widths and peak positions from degraded spectral spectrum. Comparative results including quantitative and qualitative analyses manifest that the proposed method outperforms the conventional methods on peak narrowing and noise suppression. [ABSTRACT FROM AUTHOR]

• A novelty infrared imaging technology for facial express recognition with convolution neural network. • Discrete beamlet transform regularization is designed to retain infrared spectral structures. • The split Bregman iteration algorithm is introduced to optimize the proposed DBTR-BR model. • The proposed model is applied for infrared facial expression recognition problem in Oulu-CASIA dataset. Facial expression recognition is an important research topic in the field of human-machine interaction. Infrared imaging technology has illustrated good potential in the applications of facial expression recognition and computer vision. But the low-resolution spectral data has limited its applications, such as band overlap and random noises. To address the problems, a rapid blind restoration model with discrete beamlet transforms regularization is presented to reconstruct the infrared spectrum. To compare the sparsity between the observed infrared spectrum and ground-truth one in frequency domain, the discrete beamlet transforms is applied to analyze the different of their coefficients distributions. We propose an IR spectral deconvolution model with the sparsity coefficients regularization by L 0 -norm. We execute the proposed algorithm on the simulated and actual IR spectrum data, and the results demonstrate that can effectively suppress the Poisson noises and retain infrared spectral structure. The high-resolution IR spectrum can raise the recognition rate of facial expression classification task. [ABSTRACT FROM AUTHOR]