This paper introduces the concept of size functions in galaxy morphology classification, which are geometrical-topological shape descriptors which can be tailor-made to describe the shapes of objects of interest. For the three main classes of galaxies obtained from the Hubble classification scheme, namely, elliptical, spiral and lenticular, the size functions are obtained from two sets of measu...

this paper presents new sensitivity-based methods for detection of structural damage using incomplete noisy modal data. these methods are based on the first-order derivative of modal parameters. changes of natural frequency do not usually provide spatial information on the structural damage. they are also not sensitive to the local damage. in this paper, a new sensitivity function is proposed u...

In this paper, a new approach is proposed in order to select an optimal membership function for inputs of wind speed prediction system. Then using a fuzzy method and the stochastic characteristics of wind speed in the previous year, the wind speed modeling is performed and the wind speed for the future year will be predicted. In this proposed method, the average and the standard deviation of in...

In this paper, we propose a novel framework for 3D histogram based shape descriptors based on modeling the probability density functions of geometrical quantities, shape functions which measure 3D surface properties, as mixtures of Gaussians. We make use of the special geometry of triangular meshes in 3D, provide efficient means to approximate the moments of shape functions per triangle, and as...

In this study, we propose a compact shape descriptor, which represents the 2-D shape information by 1-D functions. For this purpose a two-step method is proposed. In the first step, the 2-D shape information is mapped into 1-D moment functions without using a predefined resolution. The mapping is based on the beams, which are originated from a boundary point, connecting that point with the rest...

Correlation Functions: Thus far, we have either extended the applicability of standard condensed matter order parameters and correlation functions by incorporating shape matching, or applied standard shape matching applications directly in the context of assembled systems. However, in addition to extending existing applications for use with assembled systems, shape matching allows us to invent ...

In this paper, the finite element analysis of two-dimensional linear viscoelastic problems is performed using quadrilateral complex Fourier elements and, the results are compared with those obtained by quadrilateral classic Lagrange elements. Complex Fourier shape functions contain a shape parameter which is a constant unknown parameter adopted to enhance approximation’s accuracy. Since the iso...

In the context of finite elements, construction of higher order shape functions for elements forming the exact sequence has been a long standing activity in both engineering and numerical analysis communities. A comprehensive review of the subject can be found for example in Demkowicz (2006), Demkowicz et al. (2007) and references therein. This document presents a self-contained systematic theo...

The dynamic response of a transversely isotropic, linearly elastic layer bonded to the surface of a half-space of a different transversely isotropic material under arbitrary shape surface loads is considered. With the help of displacements and stresses Green’s functions, an analytical formulation is presented for the determination of the displacements and stresses at any point in both surface l...