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In this case, the application of an implementation of the filtered back projection (FBP) algorithm after the so-called flat fielding of the projection data is often proposed as a solution for the tomographic problem.
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This facilitates the implementation of the filtering algorithm in high dimensional settings using a remarkably small number of particles.
In this paper, we discuss the implementation of the filtered-backprojection (FBP) algorithm for tomographic image reconstruction using Walsh transform to exploit its fast computational ability.
The implementation of the filtering is straightforward.
Multiplicative gain variations are utilized to describe the phenomenon of parameter variations in actual implementation of the filter.
The time-varying parameters belong to a polytope with known vertices, affect all the system matrices and are assumed to be available online for implementation of the filters.
Our new algorithm computes this representation via a single RQ decomposition, i.e. in an efficient and accurate manner, and provides a lattice implementation of the filter bank.
Obtained on an emulation-based approach, the proposed sampled-data control uses the sampled output and a discrete-time implementation of the filter and the internal model is involved.
It is derived as an efficient implementation of the filter-bank summation method and performs time-domain filtering with coefficients adapted in the uniform or non-uniform frequency-domain.
Our implementation of the filter with precision components and a control algorithm reduces the detected flux dynamic range to 42 for a chest and 25 for an abdomen, corresponding to a reduction factor of 5 and 11 from the object scans without the bowtie.
An adaptive implementation of the filter was shown to converge relatively quickly for mild interference.
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