Abstract
Projection tomography techniques, such as optical projection tomography and stimulated Raman projection tomography, can efficiently provide quantitative distributions of compositions in three-dimensional volumes that are isotropic and exhibit high spatial resolutions. A projection model and a reconstruction algorithm are two important elements of such techniques. This research explores the quality vs. efficiency tradeoffs for combinations of existing algorithms in a performance study. Two projection models are used. This first is the pixel vertex driven projection model; and the second is the distance driven projection model (DDM). These models are integrated with three TV-regularized iterative reconstruction algorithms: the algebraic reconstruction technique, the simultaneous algebra reconstruction technique (SART), and the two-step iterative shrinkage/thresholding algorithm. The performance of the combinations of these projection models and reconstruction algorithms are evaluated with a sparsely sampled data set in simulation experiments. The experiments consider both the reconstruction image quality and the time complexity. The comparative results indicate the combination of the SART and DDM algorithms provide a good balance between the quality and efficiency of reconstructed images. The exploratory results of this study are expected to provide some useful guidance on algorithmic development and applications in the projection tomography field.
Highlights
Volumetric imaging techniques support the rapid, quantitative, and global measurements of a complete volume; they have been proven to be invaluable in studies on brain function, developmental biology, and cell metabolites.1–4 A number of techniques have been reported in this important and active research area
EXPERIMENTS AND RESULTS In this comparative performance study, two projection models and three reconstruction algorithms are combined into six reconstruction methods: the distance driven projection model (DDM) based total variation (TV)-regularized algebraic reconstruction technique (ART) algorithm; the pixel vertex driven model (PVDM) based TV-regularized ART algorithm; the DDM based TV-regularized simultaneous algebra reconstruction technique (SART) algorithm; the PVDM based TV-regularized SART algorithm; the DDM based TV-regularized two-step iterative shrinkage/thresholding algorithm (TwIST) algorithm; and the PVDM based TV-regularized TwIST algorithm
The parameters that are very important to the algorithm are set as γ = 0.08, λ = 1/(1+0.5(n−1)), N = 50, Ngrad = 10, and ε = 10−4
Summary
Volumetric imaging techniques support the rapid, quantitative, and global measurements of a complete volume; they have been proven to be invaluable in studies on brain function, developmental biology, and cell metabolites. A number of techniques have been reported in this important and active research area. Strong sectioning capabilities allow the confocal or multiphoton microscopy methods to recognize components inside a volume with good axial resolution, and the coherent Raman scattering microscopy can map a chemical distribution inside a volume in a label-free manner.. Strong sectioning capabilities allow the confocal or multiphoton microscopy methods to recognize components inside a volume with good axial resolution, and the coherent Raman scattering microscopy can map a chemical distribution inside a volume in a label-free manner.5–7 Such sectioning methods require tightly focused laser beams to acquire an image stack for three-dimension (3D) reconstruction, which can be time-consuming for a volume that is within the millimeter scale.. The projection tomography techniques collect angledependent projection images from many different angles, and can overcome the image quality degeneration to achieve the 3D imaging of specimens with high isotropic resolution. A typical example of a projection tomography technique is the optical projection tomography (OPT), which includes scitation.org/journal/adv transmission OPT and fluorescence emission OPT. Recently, a volumetric chemical imaging technique has been proposed, stimulated Raman projection tomography (SRPT), to image the chemical distribution in a 3D volume without fluorescence labeling. Because of having isotropic, high spatial resolution, and high speed, the projection tomography techniques (e.g., OPT, SRPT) have received substantial attention in the field
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