This paper presented a simple and efficient algorithm for multi-focus image fusion, which used a multiresolution signal decomposition scheme called Laplacian pyramid method. The principle of Laplacian pyramid transform is introduced, and based on it the fusion strategy is described in detail. The method mainly composed of three steps. Firstly, the Laplacian pyramids of each source image are dec...

We introduce a new operation on a class of graphs with the property that the Laplacian eigenvalues of the input and output graphs are related. Based on this operation, we obtain a family of Θ( √ n) noncospectral unicyclic graphs on n vertices with the same Laplacian energy.

There exist local search landscapes where the evaluation function is an eigenfunction of the graph Laplacian that corresponds to the neighborhood structure of the search space. Problems that display this structure are called “Elementary Landscapes” and they have a number of special mathematical properties. The problems that are not elementary landscapes can be decomposed in a sum of elementary ...

The matrix representations of hypergraphs have been defined via hypermatrices initially. In recent studies, the Laplacian hypergraphs, a generalization matrix, has introduced. this article, based on definition, we derive bounds depending pair-degree, maximum degree, and first Zagreb index for greatest eigenvalue energy r-uniform regular hypergraphs. As result these bounds, Nordhaus–Gaddum type ...

The integral fractional Laplacian of order $s \in (0,1)$ is a nonlocal operator. It known that solutions to the Dirichlet problem involving such an operator exhibit algebraic boundary singularity regardless domain regularity. This, in turn, deteriorates global regularity and as result convergence rate numerical solutions. For finite element discretizations, we derive local error estimates $H^s$...

5 To be submitted to Paleoceanography. The accuracy of geologic chronologies can, in principle, be improved through 6 orbital tuning, the systematic adjustment of a chronology to bring the as-7 sociated record into greater alignment with an orbitally derived signal. It would 8 be useful to have a general test for the success of orbital tuning, and one pro-9 posal has been that eccentricity ough...