Mathematical morphology for structures without translation symmetry

On Symmetry of Some Nano Structures

It is necessary to generate the automorphism group of a chemical graph in computer-aided structure elucidation. An Euclidean graph associated with a molecule is defined by a weighted graph with adjacency matrix M = [dij], where for i≠j, dij is the Euclidean distance between the nuclei i and j. In this matrix dii can be taken as zero if all the nuclei are equivalent. Otherwise, one may introduce...

Mathematical Morphology

Architecture for computational mathematical morphology

ABSTRACT We present a real-time, compact architecture for translation-invariant windowed nonlinear discrete filters represented in computational mathematical morphology (CMM). The architecture enables filter values to be computed in a deterministic number of operations and thus can be pipelined. Memory requirements are proportional to the size of the filter basis. A filter is implemented by thr...

Foundation for Neutrosophic Mathematical Morphology

The aim of this paper is to introduce a new approach to Mathematical Morphology based on neutrosophic set theory. Basic definitions for neutrosophic morphological operations are extracted and a study of its algebraic properties is presented. In our work we demonstrate that neutrosophic morphological operations inherit properties and restrictions of Fuzzy Mathematical Morphology.

Calculation of Buckling Load and Eigen Frequencies for Planar Truss Structures with Multi-Symmetry

In this paper, the region in which the structural system is situated is divided into four subregions, namely upper, lower, left and right subregions. The stiffness matrix of the entire system is then formed and using the existing direct symmetry and reverse symmetry, the relationships between the entries of the matrix are established. Examples are included to illustrate the steps of the method.