Recognition of human pose is an actual problem in computer vision. To increase the reliability of the recognition it is proposed to use structured information in the form of graphs. The spectrum of graphs is applied for the comparison of the structures. Image skeletonization is used to construct graphs. Line segments are the nodes of the graph. The end point of line segments are the edges of th...

The first part of this paper is devoted to proving a comparison theorem for Kähler manifolds with holomorphic bisectional curvature bounded from below. The model spaces being compared to are CP, C, and CH. In particular, it follows that the bottom of the spectrum for the Laplacian is bounded from above by m for a complete, m-dimensional, Kähler manifold with holomorphic bisectional curvature bo...

We give results on the following questions about a topologically tame hyperbolic 3-manifold M : 1. Does M have nonzero L-harmonic 1-forms? 2. Does zero lie in the spectrum of the Laplacian acting on Λ(M)/Ker(d)?

A bounded domain in C with connected Lipschitz boundary is pseudoconvex if the bottom of the essential spectrum of the Kohn Laplacian on the space of (0, q)-forms, 1 ≤ q ≤ n− 1, with L-coefficients is positive.

In this paper we study in detail some spectral properties of the magnetic discrete Laplacian. We identify its form-domain, characterize the absence of essential spectrum and provide the asymptotic eigenvalue distribution.

We present an explicit formula for the resolvent of discrete Laplacian on square lattice, and compute its asymptotic expansions around thresholds in low dimensions. As a by-product we obtain closed fundamental solution to Laplacian. For proofs express general dimension terms Appell--Lauricella hypergeometric function type $C$ outside disk encircling spectrum. In dimensions it reduces generalize...

in this paper, we try to find a particular combination of wavelet shrinkage and nonlinear diffusion for noise removal in dental images. we selected the wavelet diffusion and modified its automatic threshold selection by proposing new models for speckle related modulus. the laplacian mixture model and circular symmetric laplacian mixture models were evaluated and as it could be expected, the lat...

The Laplace operator on a simplicial complex encodes information about the adjacencies between simplices. A relationship between simplicial complexes does not always translate to a relationship between their Laplacians. In this paper we look at the case of covering complexes. A covering of a simplicial complex is built from many copies of simplices of the original complex, maintaining the adjac...