The diagnosis of many dental anomalies would be impossible without radiographs, because of their location in the mineralized tissues (bone and teeth) or because they are hidden under the surface of the cortical plate that cannot be seen during a visual examination in dental practices. The use of radiographs is indispensable during the treatment phase, e.g., during root canal treatment to monito...

Most Active Contour Models (ACMs) deal with the image segmentation problem as a functional optimization problem, as they work on dividing an image into several regions by optimizing a suitable functional. Among ACMs, variational level set methods have been used to build an active contour with the aim of modeling arbitrarily complex shapes. Moreover, they can handle also topological changes of t...

Segmentation on ultrasound image is difficult when the image is not clear and contains unwanted noise. Since the object to be segmented out can be changing in shape for a period of time, there is a need to apply a computerised segmentation method for future analysis without any assumptions about the object’s topology is made. In general, when performing pregnancy ultrasound scanning, seeking a ...

This paper is devoted to the study of an eigenvalue second order differential equation, supplied with homogenous Dirichlet conditions and set on the real line. In the linear case, the equation arises in the study of a reaction-diffusion system involved in disease propagation throughout a given population. Under some relations upon the real parameters and coefficients, we present some existence ...

Abstract. We apply the Piecewise Constant Level Set Method (PCLSM) to a multiphase motion problem, especially the pure mean curvature motion. We use one level set function to represent multiple regions, and by associating an energy functional which consists of surface tension (proportional to length), we formulate a variational approach for the mean curvature motion problem. Some operator-split...

Medical image fusion and segmentation has high impact on the digital image processing due to its spatial resolution enhancement and image sharpening. It has been used to derive useful information from the medical image data that provides the most accurate and robust method for diagnosis. This process is a compelling challenge due to the presence of inhomogeneities in the intensity of images. Fo...

A model nanometer-sized hydrophobic receptor-ligand system in aqueous solution is studied by the recently developed level-set variational implicit solvent model (VISM). This approach is compared to all-atom computer simulations. The simulations reveal complex hydration effects within the (concave) receptor pocket, sensitive to the distance of the (convex) approaching ligand. The ligand induces ...

In this paper, we propose a numerical scheme for the identification of piecewise constant conductivity coefficient for a problem arising from electrical impedance tomography. The key feature of the scheme is the use of level set method for the representation of interface between domains with different values of coefficients. Numerical tests show that our method can recover sharp interfaces and ...

We reproduce the general behavior of complicated bubble and droplet motions using the variational level set formulation introduced by the authors earlier. Our approach here ignores inertial effects; thus the motion is only correct as an approximation for very viscous problems. However, the steady states are true equilibrium solutions. Inertial forces will be added in future work. The problems i...

We reproduce the general behavior of complicated bubble and droplet motions using the variational level set formulation introduced in 22]. Our approach here ignores inertial eeects; thus the motion is only correct as an approximation for very viscous problems. However, the steady states are true equilibrium solutions. Inertial forces will be added in future work { see also 9]. The problems incl...