title: Compressed sensing with linear-in-wavenumber sampling in spectral-domain optical coherence tomography.
abstract: We propose a novel method called compressed sensing with linear-in-wavenumber sampling (k-linear CS) to retrieve an image for spectral-domain optical coherence tomography (SD-OCT). An array of points that is evenly spaced in wavenumber domain is sampled from an original interferogram by a preset k-linear mask. Then the compressed sensing based on l1 norm minimization is applied on these points to reconstruct an A-scan data. To get an OCT image, this method uses less than 20% of the total data as required in the typical process and gets rid of the spectral calibration with numerical interpolation in traditional CS-OCT. Therefore k-linear CS is favorable for high speed imaging. It is demonstrated that the k-linear CS has the same axial resolution performance with ~30 dB higher signal-to-noise ratio (SNR) as compared with the numerical interpolation. Imaging of bio-tissue by SD-OCT with k-linear CS is also demonstrated.
authors.affiliation: State Key Laboratory of Low-Dimensional Quantum Physics and Laboratory of Atomic and Molecular Nanosciences, Department of Physics, Tsinghua University, Beijing, China.
authors.forename: Ning
authors.initials: N
authors.lastname: Zhang
authors.forename: Tiancheng
authors.initials: T
authors.lastname: Huo
authors.forename: Chengming
authors.initials: C
authors.lastname: Wang
authors.forename: Tianyuan
authors.initials: T
authors.lastname: Chen
authors.forename: Jing-gao
authors.initials: JG
authors.lastname: Zheng
authors.forename: Ping
authors.initials: P
authors.lastname: Xue
mesh_terms: D000465:Algorithms; D006801:Humans; D007091:Image Processing, Computer-Assisted / Q000379:methods*; D007368:Interferometry; D019697:Onions / Q000166:cytology; D012867:Skin / Q000166:cytology; D041623:Tomography, Optical Coherence / Q000379:methods*