Intensity inhomogeneity is a challenging task in image registration. Few past works have
addressed the case of intensity inhomogeneity due to texture noise. To address this …

Edge detection plays an important role in the field of image processing. In this paper, we
propose a novel variational model to automatically and adaptively detect one or more prior …

In this paper, we construct and analyze an energy stable scheme by combining stabilized
scalar auxiliary variable (SAV) approach with finite element method (FEM) for the well …

This paper proposes a benchmark problem for the two-and three-dimensional Cahn–Hilliard
(CH) equations, which describe the process of phase separation. The CH equation is highly …

The paper describes a unified automatic procedure for the detection of roof planes in
gridded height data. The procedure exploits the Blake-Zisserman (BZ) model for …

Abstract Minimizing the Mumford–Shah functional is frequently used for smoothing signals
or time series with discontinuities. A significant limitation of the standard Mumford–Shah …

Minimizing variational models by means of (un) constrained optimization algorithms is a well-
known approach for dealing with the image denoising problem. In this paper, we propose a …

This paper proposes a new variational model for segmentation of low-contrast and
piecewise smooth images. The model is motivated by the two-stage image segmentation …

Introduction Brain perfusion-weighted images obtained through dynamic contrast studies
play a critical and clinical role in diagnosis and treatment decisions. However, due to the …

In this work, we propose a telegraph coupled partial differential equation (TCPDE) based
model for image restoration. The new framework interpolates between a couple of nonlinear …