In this paper, we address the problem of vectorization of binary images on irregular isothetic grids. The representation of graphical elements by lines is common in document analysis, where images are digitized on (sometimes very-large scale) regular grids. Regardless of final application, we propose to first describe the topology of an irregular twodimensional object with its associated Reeb g...

In this paper we consider a nonlinear strongly damped wave equation as a model for a controlled spring–mass–damper system and give some results concerning its large time behaviour. It can be seen that the infinite dimensional system admits a twodimensional attracting manifold where the equation is well represented by a classical nonlinear oscillations ODE, which can be exhibited explicitly. In ...

In this paper we propose the weighted energy method as a way to study estimates of solutions of boundary-value problems with non-homogeneous boundary conditions in elasticity. First, we use this method to study spatial decay estimates in twodimensional elasticity when we consider non-homogeneous boundary conditions on the boundary. Some comments in the case of harmonic vibrations are considered...

We present study of finite-size scaling and universality of crossing probabilities for the q-state Potts model. Crossing probabilities of the Potts model are similar ones in percolation problem. We numerically investigated scaling of πs the probability of a system to percolate only in one direction for twodimensional site percolation, the Ising model, and the q-state Potts model for q = 3, 4, 5...

The present work is essentially concerned with the development of statistical theory for the low temperature dislocation glide in concentrated solid solutions where atomsized obstacles impede plastic flow. In connection with such a problem, we compute analytically the external force required to drag an elastic string along a discrete twodimensional square lattice, where some obstacles have been...

We consider the Hele-Shaw flow that arises from injection of twodimensional fluid into a point of a curved surface. The resulting fluid domains have and are more or less determined implicitly by a mean value property for harmonic functions. We improve on the results of Hedenmalm and Shimorin [8] and obtain essentially the same conclusions while imposing a weaker curvature condition on the surfa...

Genetic programming systems typically use a fixed training population to optimize programs according to problem-specific fitness criteria. The best-of-run programs evolved by these systems frequently exhibit optimal (or nearoptimal) performance in competitive survival environments explicitly represented by the training population. Unfortunately, subsequent performance of these programs is often...

This paper addresses a new approach to the problem of selecting contact locations for grasping in the presence of shape and contact location uncertainty. Focusing on twodimensional planar objects and two-finger grasps for simplicity, we present a principled approach for selecting contact points by minimizing the risk of force-closure failure. The key contribution of the paper is the risk measur...

We investigate the controllability of quantum electrons trapped in a twodimensional device, typically a MOS field-effect transistor. The problem is modeled by the Schrödinger equation in a bounded domain coupled to the Poisson equation for the electrical potential. The controller acts on the system through the boundary condition on the potential, on a part of the boundary modeling the gate. We ...

This paper describes the numerical simulation of the extraction of volatile pollutants from unsaturated ground by in-situ gas venting. The problem is described by a twodimensional, time-dependent, multiphase porous media ow model. Sorption of the pollutants to the soil surface is included. The simulation software is based upon the SPRINT2D adaptive unstructured mesh PDE software, with a new Gal...