Anisotropic mesh adaptation for image segmentation based on Mumford-Shah functional.

As the resolution of digital images increases significantly, the process of images becomes more challenging in terms of accuracy and efficiency. In this paper, we consider image segmentation by solving a partial differential equation (PDE) model based on the Mumford-Shah functional. We develop a new algorithm by combining anisotropic mesh adaptation for image representation and finite element method for solving the PDE model. Compared to traditional algorithms solved by the finite difference method, our algorithm provides more efficient results without the need to downsample the image to a lower resolution. [ABSTRACT FROM AUTHOR]