We study a partial differential equation model that can be applied to perform image segmentation. We use a geometric differential operator including a forcing term. We study the existence and uniqueness of solutions, the shape of some radial solutions and we show that under a suitable choice of the forcing term the geometric equation has non trivial asymptotic states. We present an application of the model to the segmentation of vessels in CT scans

This presentation is part of Minisymposium “MS15 - Nonlinear Diffusion: Models, Extensions and Algorithms (2 parts)”
organized by: Ke Chen (University of Liverpool) , Joachim Weickert (Saarland University) , Xue-Cheng Tai (Hong Kong Baptist University) .

Authors:

Luis Alvarez (Universidad de Las Palmas de Gran Canaria)

Jesús Ildefonso Díaz (Departamento de Matemática Aplicada. Universidad Complutense de Madrid)

Keywords:

computed tomography, computer vision, image segmentation, partial differential equation models