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Using symmetry arguments, we have reconstructed the 3D magnetic field of a nickel nanowire as well as the 3D electric field around a carbon nanotube field emitter, from one single projection.
The CV of one pixel element within the high count area of the lung in one single projection, determined from three consecutive simulations, was 0.5%.
The coefficient of variance CV (see Equation 1 in Additional file 1) of one pixel element within the high-count area of the lung in one single projection determined from three consecutive simulations was 0.5%.
The time for the phase retrieval of one single projection is dominated by the required 2D FFT whose complexity is O (N log(N)), with N the number of pixels in one projection.
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The phase retrieval algorithm works independently on single projections.
On subsequent review of these cases, four were seen on a single view on a single projection only (i.e., were visible on only one of four images provided for that breast).
Each image is a single projection, from one angle, before the object is rotated by a degree or so and the next image taken.
Phase retrieval requiring projections at one single distance (e.g., [23]) is an invaluable tool to improve the contrast-to-noise ratio [22] often required for the segmentation and quantitative analysis of data acquired during time-resolved experiments.
It has also been shown that phase retrieval (requiring projections at one single distance) can largely compensate for sub-optimal experimental conditions, such as low photon counts typical for time-resolved experiment [22] and is a fundamental tool for the study of dynamic processes.
No imaging device has a perfect one-to-one correspondence of spatial directions in the scene (those ideally producing a single projection dot on the output image) and spatial locations in the resulting image.
If the projections are stored in one single HDF5 file, the sinogram generation can be sped up by about 50% compared to the case where the projections are individually stored in TIFF files.
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