Detecting Codimension—Two Objects in an Image with Ginzburg-Landau Models

In this paper, we propose a new mathematical model for detecting in an image singularities of codimension greater than or equal to two. This means we want to detect isolated points in a 2-D image or points and curves in a 3-D image. We drew one’s inspiration from Ginzburg-Landau (G-L) models which have proved their efficiency for modeling many phenomena in physics.We introduce the model, state its mathematical properties and give some experimental results demonstrating its capability in image processing.