title: Solving inverse problems for optical scanning holography using an adaptively iterative shrinkage-thresholding algorithm.
abstract: Optical scanning holography (OSH) records a three-dimensional object into a two-dimensional hologram through two-dimensional optical scanning. The recovery of sectional images from the hologram, termed as an inverse problem, has been previously implemented by conventional methods as well as the use of l₂ norm. However, conventional methods require time consuming processing of section by section without eliminating the defocus noise and the l₂ norm method often suffers from the drawback of over-smoothing. Moreover, these methods require the whole hologram data (real and imaginary parts) to eliminate the twin image noise, whose computation complexity and the sophisticated post-processing are far from desirable. To handle these difficulties, an adaptively iterative shrinkage-thresholding (AIST) algorithm, characterized by fast computation and adaptive iteration, is proposed in this paper. Using only a half hologram data, the proposed method obtained satisfied on-axis reconstruction free of twin image noise. The experiments of multi-planar reconstruction and improvement of depth of focus further validate the feasibility and flexibility of our proposed AIST algorithm.
authors.affiliation: School of Life Sciences and Technology, Xidian University, Xi’an, Shaanxi 710126, China.
authors.forename: Fengjun
authors.initials: F
authors.lastname: Zhao
authors.forename: Xiaochao
authors.initials: X
authors.lastname: Qu
authors.forename: Xin
authors.initials: X
authors.lastname: Zhang
authors.forename: Ting-Chung
authors.initials: TC
authors.lastname: Poon
authors.forename: Taegeun
authors.initials: T
authors.lastname: Kim
authors.forename: You Seok
authors.initials: YS
authors.lastname: Kim
authors.forename: Jimin
authors.initials: J
authors.lastname: Liang
mesh_terms: D000465:Algorithms; D006696:Holography / Q000379:methods*; D007089:Image Enhancement / Q000379:methods*; D007090:Image Interpretation, Computer-Assisted / Q000379:methods*; D021621:Imaging, Three-Dimensional / Q000379:methods*; D015203:Reproducibility of Results; D012680:Sensitivity and Specificity