  Contrast-Enhanced Ultra-Sound (CEUS) has become a viable method for
non-invasive, dynamic visualization in medical diagnostics, yet Ultrasound
Localization Microscopy (ULM) has enabled a revolutionary breakthrough by
offering ten times higher resolution. To date, Delay-And-Sum (DAS) beamformers
are used to render ULM frames, ultimately determining the image resolution
capability. To take full advantage of ULM, this study questions whether
beamforming is the most effective processing step for ULM, suggesting an
alternative approach that relies solely on Time-Difference-of-Arrival (TDoA)
information. To this end, a novel geometric framework for micro bubble
localization via ellipse intersections is proposed to overcome existing
beamforming limitations. We present a benchmark comparison based on a public
dataset for which our geometric ULM outperforms existing baseline methods in
terms of accuracy and robustness while only utilizing a portion of the
available transducer data.
