3D point or shape segmentation is an important technique and is widely used in computer graphics. In this work, we propose a new algorithm for 3D segmentation that is based on critical point identification and fuzzy clustering. There are two main goals for this proposal: First, to avoid over segmentation by finding the correct number of critical points automatically; second, divide object into ...

We argue that the critical behaviour near the point of " gradient catastrophe " of the solution to the Cauchy problem for the focusing nonlinear Schrödinger equation ii ψ t + 2 2 ψ xx + |ψ| 2 ψ = 0 with analytic initial data of the form ψ(x, 0;) = A(x) e i S(x) is approximately described by a particular solution to the Painlevé-I equation.

Generally, the evaluation and assessment critical condition of rill formation are useful for a better understanding of soil erosion processes. The inherence characteristics of soils, which have much dynamic variations on the hill-slopes and are affected by rill formation, are the soil critical shear stress and soil erodibility factors. This study aims to assess experimental rill incision thre...

We measure the coexistence curve and the critical point properties of a binary mixture composed by polymethylmethacrylate (PMMA) at Mw = 55900 g/mol with 3octanone. This binary mixture which has a demixing transition with an upper critical solution temperature Tc has indeed interesting properties which may be useful for several application : a) its correlation length is larger than that of a li...

We argue that the critical behavior near the point of “gradient catastrophe” of the solution to the Cauchy problem for the focusing nonlinear Schrödinger equation i Ψt + 2 2 Ψxx + |Ψ |2Ψ = 0, 1, with analytic initial data of the form Ψ (x,0; ) = A(x)e i S(x) is approximately described by a particular solution to the Painlevé-I equation.

This paper aims to investigate existence of solutions of several boundary value problems for fractional one-dimensional p-Laplacian equation under controlled parameters. By employing fixed point theory and critical point theory, some new results are obtained, which enrich and generalize the previous results. c ©2017 All rights reserved.

Let H be a Hilbert space and J ∈ C(H, ). Denote δJ its Frechet derivative and J ′ its gradient. The objective of this research is to develop computational theory and methods for finding multiple critical points, i.e., solutions to the Euler-Lagrange equation J (u) = 0. A critical point u is nondegenerate if J (u) is invertible. Otherwise u is degenerate. The first candidates for a critical poin...

We present a study of the critical phenomena around the quantum critical point in heavy-fermion systems. In the framework of the S = 1/2 Kondo lattice model, we introduce an extended decoupling scheme of the Kondo interaction which allows one to treat the spin fluctuations and the Kondo effect on an equal footing. The calculations, developed in a self-consistent one-loop approximation, lead to ...