Fast ellipse tangency solver
Project description
EllPHi – a fast ellipse-tangency solver for anisotropic persistent homology
EllPHi brings anisotropy to persistent-homology workflows.
Starting from an ordinary 2-D point cloud, it estimates local covariance, inflates ellipses instead of balls, and feeds the resulting tangency distance into your favourite PH backend (HomCloud, Ripser, and so on). The result: cleaner barcodes, longer lifetimes, and ring structures that survive heavy noise — all without rewriting your topology code.
Installation
A PyPI release is in progress. Until then, install from GitHub:
pip install ellphi
Quick start (under construction)
quickstart.ipynb– 5-minute toureph-6rings-PH.ipynb– full pipelineeph-6rings-PH-figures.ipynb– figures presented in ATMCS 2025 poster
For ATMCS 2025 attendees
Seeeph-6rings-PH-figures.ipynb
which accompanies the conference poster.
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