This paper proposes an automated method to detect, group and rectify arbitrarilyarranged coplanar repeated elements via energy minimization. The proposed energy functional combines several features that model how planes with coplanar repeats are projected into images and captures global interatctions between different coplanar repeat groups and scene planes. An inference framework based on a re...

This paper is devoted to the decomposition of an image f into u + v, with u a piecewise-smooth or “cartoon” component, and v an oscillatory component (texture or noise), in a variational approach. The cartoon component u is modeled by a function of bounded variation, while v, usually represented by a square integrable function, is now being modeled by a more refined and weaker texture norm, as ...

The stroke sequence of kanji has been investigated chiefly from the viewpoint of energy in the dynamics of writing together with the informational viewpoint in memorization in learning. Sample characters include all the members for daily use, and also katakana. The results show that the standard sequence fundamentally follows the law of energy minimization in writing movements, The degree of sa...

This paper examines the domain patterns and its relation to the macroscopic electromechanical behavior of ferroelectric solids using a theory based on homogenization and energy minimization. The domain patterns in different crystalline systems are classified, the spontaneous strain and polarization for single crystals and polycrystals are characterized, and the optimal texture of polycrystals f...

By a study of the energy minimization of the Vlasov-Poisson system subject to a new class of constraints, it is shown that generalized polytropes are dynamically stable among symmetric perturbations for the parameter range 0 ?1. In particular for l =0, this result justiies the classical Antonov's linear stability criterion for polytropes in a dynamical, nonlinear setting.

The basic continuum model for polar fluids is deceptively simple. free energy integral consists of four terms: coupling polarization to an external field, the electrostatic induced electric field interacting with itself and stored quadratic in polarization. A local function density accounts mechanical state fluid. Viewed as a non-equilibrium functional number polarization, minimization these tw...

this study concerns the existence and multiplicity of positive weak solutions for a class ofsemilinear elliptic systems with nonlinear boundary conditions. our results is depending onthe local minimization method on the nehari manifold and some variational techniques. alsoby using mountain pass lemma, we establish the existence of at least one solution withpositive energy.

Let A be a compact d-rectifiable set embedded in Euclidean space R, d ≤ p. For a given continuous distribution σ(x) with respect to d-dimensional Hausdorff measure on A, our earlier results provided a method for generating N -point configurations on A that have asymptotic distribution σ(x) as N →∞; moreover such configurations are “quasi-uniform” in the sense that the ratio of the covering radi...