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.
Highlights
As an unconventional digital holographic technique utilizing an acquired two-dimensional (2D) hologram of an object, optical scanning holography (OSH) can record three-dimensional (3D) information of an object [1, 2]
3D microscopy using OSH can take the holographic information of biological specimens in three dimensions without axial scanning, and high lateral resolution within 1 μm has been made possible in a scanning holographic fluorescence microscope [5]
This is due to, in addition to the defocus noise, the twin image noise produced by the loss of the imaginary part of the complex hologram, which is hardly coped by the conventional method and the l2 norm method
Summary
As an unconventional digital holographic technique utilizing an acquired two-dimensional (2D) hologram of an object, optical scanning holography (OSH) can record three-dimensional (3D) information of an object [1, 2]. For obtaining an acceptable axial resolution of thick specimens, traditional optical microscopy requires axial scanning Both confocal microscopy and optical coherent tomography (OCT) can provide high axial resolution and optical sectioned images, but they suffer from the same drawback of a timeconsuming axial and lateral scanning process. Based on the conventional method, Wiener filtering [7] and Wigner filtering [8] were applied in OSH reconstruction and obtained an improved signal-to-noise ratio. Aiming at overcoming the drawbacks of these conventional-based methods (Fresnel diffraction, Wiener filtering and Wigner filtering), optimization methods have been applied to reconstruct sectional image of OSH.
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