Contour Parametrization via Anisotropic Mean Curvature Flows

TL;DR

This paper introduces a novel anisotropic mean curvature flow method for contour recognition that incorporates external potential fields and provides stability criteria for numerical implementation.

Contribution

It presents a new coupled curvature flow approach with stability analysis, enhancing contour recognition by integrating external potential fields.

Findings

Effective contour recognition in images.

Stable numerical approximation established.

Coupling with external fields improves accuracy.

Abstract

We present a new implementation of anisotropic mean curvature flow for contour recognition. Our procedure couples the mean curvature flow of planar closed smooth curves, with an external field from a potential of point-wise charges. This coupling constrains the motion when the curve matches a picture placed as background. We include a stability criteria for our numerical approximation.