Range migration requires a coherent synthetic aperture processing in a summation manner in the time domain whereas the [omega]-k algorithm performs the
backprojection in the frequency-wavenumber domain.
(121,123,152) Although the weaker amplitude makes it difficult to infer the source locations using the
backprojection method, the global average of the energy partitioning is also informative.
It is known that traditional computed tomography (CT) reconstruction algorithms, for example, filtered
backprojection methods, are not compatible to laterally truncated projection data, which appears often in the case of either (1) when the object extends outside of the field of view (FOV) or (2) X-ray beam collimation for the purpose of dose reduction.
Scharfman, "The CA3 "
backprojection" to the dentate gyrus," Progress in Brain Research, vol.
Their topics include memory hierarchy for multicore and many-core processors, the Cilk and Cilk++ programming languages, efficient Aho-Corasick string matching on emerging multicore architectures, sorting on a graphics processing unit (GPU), evaluating multicore processors and accelerators for dense numerical computations, and
backprojection algorithms for multicore and GPU architectures.
The above formula can be implemented in two steps: the filtering step and the
backprojection step.