A filtered backprojection algorithm with characteristics of the iterative landweber algorithm
نویسندگان
چکیده
منابع مشابه
A filtered backprojection algorithm with characteristics of the iterative landweber algorithm.
PURPOSE In order to eventually develop an analytical algorithm with noise characteristics of an iterative algorithm, this technical note develops a window function for the filtered backprojection (FBP) algorithm in tomography that behaves as an iterative Landweber algorithm. METHODS Based on the formulation of the iterative Landweber algorithm, a frequency domain window function is derived fo...
متن کاملFiltered backprojection algorithm can outperform iterative maximum likelihood expectation-maximization algorithm
The iterative maximum-likelihood expectation-maximization (ML-EM) algorithm is an excellent algorithm for image reconstruction and usually provides better images than the filtered backprojection (FBP) algorithm. However, a windowed FBP algorithm can outperform the ML-EM in certain occasions, when the least-squared difference from the true image, that is, the least-squared error (LSE), is used a...
متن کاملA filtered backprojection algorithm with ray-by-ray noise weighting.
PURPOSE This paper derives a ray-by-ray weighted filtered backprojection (rFBP) algorithm, based on our recently developed view-by-view weighted, filtered backprojection (vFBP) algorithm. METHODS The rFBP algorithm directly extends the vFBP algorithm by letting the noise weighting vary from channel to channel within each view. The projection data can be weighted in inverse proportion to their...
متن کاملComparison of a noise-weighted filtered backprojection algorithm with the Standard MLEM algorithm for poisson noise.
Iterative maximum-likelihood expectation maximization and ordered-subset expectation maximization algorithms are excellent for image reconstruction and usually provide better images than filtered backprojection (FBP). Recently, an FBP algorithm able to incorporate noise weighting during reconstruction was developed. This paper compares the performance of the noise-weighted FBP algorithm and the...
متن کاملOn the optimality of the filtered backprojection algorithm.
It is shown that under certain conditions the filtered backprojection algorithm produces a computed tomographic reconstruction for which the statistical accuracy attainable in the amplitude estimation of large-area objects meets the general lower bound derived by Tretiak. In this sense, filtered backprojection is an optimum algorithm.
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ژورنال
عنوان ژورنال: Medical Physics
سال: 2012
ISSN: 0094-2405
DOI: 10.1118/1.3673956