The Direct Integration Theorem provides a consistent discrete framework for the inverse Radon problem that achieves quasi-exact reconstruction limited only by sampling and grid geometry while preserving statistical properties better than Filtered Back Projection.
The fourier reconstruction of a head section
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True time delay beamforming equals the Radon transform of space-time array data, enabling Radon-based filtering, semblance AoA estimation, triangulation, and hyperbolic integration to isolate near-field sources in ultra-wideband arrays.
citing papers explorer
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The Direct Integration Theorem: A Rigorous Framework for Consistent Discrete Solutions of the Inverse Radon Problem
The Direct Integration Theorem provides a consistent discrete framework for the inverse Radon problem that achieves quasi-exact reconstruction limited only by sampling and grid geometry while preserving statistical properties better than Filtered Back Projection.
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The Radon Transform, True Time Delay Beamforming, and Ultra-Wideband Antenna Arrays (Invited Paper)
True time delay beamforming equals the Radon transform of space-time array data, enabling Radon-based filtering, semblance AoA estimation, triangulation, and hyperbolic integration to isolate near-field sources in ultra-wideband arrays.