locan.analysis.convex_hull_expectation

Analyze geometrical properties of the convex hull of localization coordinates.

Localization coordinates in localization clusters come with a certain variance. In resolution-limited clusters the variance is determined by the localization precision. Accordingly, the geometrical properties of convex hulls also vary and can be analyzed as function of localization counts to help characterize localization clusters [1].

References

[1]

Ebert V, Eiring P, Helmerich DA, Seifert R, Sauer M, Doose S. Convex hull as diagnostic tool in single-molecule localization microscopy. Bioinformatics 38(24), 2022, 5421-5429, doi: 10.1093/bioinformatics/btac700.

Classes

ConvexHullExpectation([meta, ...])	Analyze geometrical properties of the convex hull of localization coordinates in relation to expected values.
ConvexHullExpectationBatch([meta, ...])	Analyze geometrical properties of the convex hull of localization coordinates in relation to expected values.
ConvexHullExpectationResults([values, grouped])
ConvexHullExpectationValues(n_points, ...)
ConvexHullProperty(value[, names, module, ...])

Functions

compute_convex_hull_region_measure_2d(n_points)

Compute the expected convex hull area for n_points data points that are normal distributed in 2-dimensional space with standard deviation sigma.