Mediatrix method for filamentation of objects in images

TL;DR

The paper introduces the Mediatrix filamentation method, an iterative technique for decomposing image shapes into filaments along intensity ridgelines, enabling extraction of morphological features and curvature estimates, demonstrated on simulated gravitational arcs.

Contribution

The paper presents a novel filamentation method that decomposes shapes into filaments and derives morphological features, including curvature, from images.

Findings

Effective decomposition of arc-shaped objects into filaments.

Ability to estimate curvature and thickness of objects.

Application demonstrated on simulated gravitational arcs.

Abstract

We describe the Mediatrix filamentation method, an iterative procedure that decomposes image shapes in filaments over their intensity ridgeline along their main direction using perpendicular bisectors. From this decomposition several morphological features can be derived, such as the length along the main direction and thickness of the object and, for curved objects, estimates of its center of curvature and curvature radius. As an example, we apply this technique to arc-shaped objects: simulated gravitational arcs.