Interferogram Baseline Correction Method Based on Low-Rank Constraint and Penalized Least Squares

Feng Zhu; Junshe An; Hailiang Shi; Hanhan Ye; Zhiwei Li; Xianhua Wang; Wei Xiong

doi:10.3788/AOS202242.1430001

[1] Xiangli B, Lü Q B, Cai Q S et al. Fourier transform imaging spectroscopy[J]. Scientia Sinica (Informationis), 50, 1462-1474(2020).

[2] Li S N, Zhu R H, Li J X et al. Method of reconstruction on Fourier-transform spectroscopy[J]. Journal of Applied Optics, 30, 268-272(2009).

[3] Zheng Y, Lü J G. Simulation and analysis of interference system in novel static Fourier transform spectrometer[J]. Acta Optica Sinica, 41, 1830001(2021).

[4] Lü H, Liao N F, Wu W M et al. Interferogram baseline correction method based on self-adaptive differential filtering[J]. Acta Optica Sinica, 35, 1030002(2015).

[5] Lü J G, Zhao B X, Liang J Q et al. Modeling and experiment of image field modulated Fourier transform imaging spectrometer[J]. Acta Optica Sinica, 40, 1811002(2020).

[6] Ding Y, Luo H Y, Shi H L et al. New flat-field correction method for spatial heterodyne spectrometer[J]. Acta Optica Sinica, 40, 1930002(2020).

[7] Jing J J, Xiangli B, Li R et al. Interferogram filtering method based on empirical mode decomposition[J]. Acta Optica Sinica, 33, 1007001(2013).

[8] Zhang C M, Ren W Y, Mu T K et al. Empirical mode decomposition based background removal and de-noising in polarization interference imaging spectrometer[J]. Optics Express, 21, 2592-2605(2013).

[9] Guo L L, Zhao Q C, Yang Y et al. Method for suppression of impulse noise in spaceborne Fourier transform infrared spectrometer[J]. Acta Optica Sinica, 40, 0830003(2020).

[10] Ferrec Y, Coudrain C, Primot J et al. Noise sources in imaging static Fourier transform spectrometers[J]. Optical Engineering, 51, 111716(2012).

[11] Wang S, Xiangli B, Li L B et al. Research of spectrum signal-to-noise ratio of large aperture static imaging spectrometer[J]. Spectroscopy and Spectral Analysis, 34, 851-856(2014).

[12] Wright J, Peng Y G, Ma Y. Robust principal component analysis: exact recovery of corrupted low-rank matrices by convex optimization[C], 2080-2088(2009).

[13] Candès E J, Li X D, Ma Y et al. Robust principal component analysis?[J]. Journal of the ACM, 58, 1-37(2011).

[14] Zhang H Y, He W, Zhang L P et al. Hyperspectral image restoration using low-rank matrix recovery[J]. IEEE Transactions on Geoscience and Remote Sensing, 52, 4729-4743(2014).

[15] Eilers P H C. A perfect smoother[J]. Analytical Chemistry, 75, 3631-3636(2003).

[16] Zhao H, Chen Y X, Xu X D et al. Baseline correction for Raman spectra based on locally symmetric reweighted penalized least squares[J]. Chinese Journal of Lasers, 45, 1211001(2018).

[17] Zhao B C, Yang J F, Chang L Y et al. Optical design and on-orbit performance evaluation of the imaging spectrometer for Chang’e-1 lunar satellite[J]. Acta Photonica Sinica, 38, 479-483(2009).

[18] Wu Y Z, Zheng Y C, Zou Y L et al. A preliminary experience in the use of Chang’e-1 IIM data[J]. Planetary and Space Science, 58, 1922-1931(2010).

[19] Xie P Y, Yang J F, Xue B et al. Research on an equal wavelength spectrum reconstruction method of interference imaging spectrometer[J]. Spectroscopy and Spectral Analysis, 36, 848-852(2016).

[20] Bioucas-Dias J M, Nascimento J M P. Hyperspectral subspace identification[J]. IEEE Transactions on Geoscience and Remote Sensing, 46, 2435-2445(2008).

[21] Wang C, Shi R H, Gao W et al. Bad pixel identification and replacement research for Chang’e-1 IIM data[J]. Scientia Sinica (Physica, Mechanica & Astronomica), 43, 1448-1456(2013).