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This work proposes the highly-parallel HRGB method, and an associated HRGB Parallel Electronic Circuit (PEC), for complex-geometry medical image reconstruction and model-based iterative reconstruction (MBIR). 3D forward projection, particularly ray-driven projection, is discussed. A new approach is proposed, wherein the modeled beam is, in effect, sent through frequency space (not image space), and image space is modeled as a continuous (not discrete) region. This allows accuracy and speed, e.g. the HRGB PEC eliminates interpolation computations and slow data access. For even greater speed, the HRGB PEC can be implemented as an asynchronous (or semi-asynchronous) circuit, allowing fast computations that are not limited (or, are negligibly limited) by digital clock cycles. Thus, the HRGB's 3D projections can be computed with greater accuracy, and for arbitrary sources and arbitrary detectors in 3D space, with multiple beams/rays on each detector element for additional accuracy.
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