This paper addresses a challenging problem in computational mechanics—the analysis of thick shallow shells vibrating at high modes. Existing methods encounter significant difficulties for such a problem due to numerical instability. A new numerical approach, DSC-Ritz method, is developed by taking the advantages of both the discrete singular convolution (DSC) wavelet kernels of the Dirichlet ty...

Inspired by the idea of the S-Tree Coding (STC) and by extending the popular Gouraud shading approach, in this paper, we propose a new image representation method using the Nonoverlapping Non-symmetry and Antipacking Model (NNAM) for medical images, which is called the NNAM method. Also, a raster-first strategy for searching a rectangle subpattern in the NNAM method is put forward. During the p...

We have proposed a novel method for solving the linear radiative transport equation (RTE) in a three-dimensional macroscopically homogeneous medium. The method utilizes the concept of locally rotated reference frames and can be used with an arbitrary phase function of a random medium consisting of spherically-symmetric microscopic scatterers. The angular dependence of the specific intensity wri...

Abstract. It is well understood that the distribution and quantity of liquid water in snow relevant for hydrology avalanche forecasting, yet detecting quantifying remains a challenge from micro- to macro-scale. Using near-infrared (NIR) spectral reflectance measurements, previous case studies have demonstrated capability retrieve surface content (LWC) wet by leveraging shifts complex refractive...

A spiking neural network (SNN) model trained with spiking-timingdependent-plasticity (STDP) is proposed to perform a 2D co-ordinate transformation of the polar representation of an arm position to a Cartesian representation in order to create a virtual image map of a haptic input. The position of the haptic input is used to train the SNN using STDP such that after learning the SNN can perform t...

Work on the generalisation of cartographic line data, so that small scale map data can be derived from larger scales, has led to the development of algorithms for a variety of generalisation operations, including line simplification. A major objective when capturing linear digital map data is the creation of accurate representation of naturally occurring lines, using a minimum of processing tim...

Standard forecasting criteria like the mean square error (MSE) compare point forecasts or a location parameter of the forecasting distribution with actual observations. Such criteria are less suited to comparing forecasts of volatile time series. Therefore we use the average predictive ordinate (APOC) criterion which evaluates the ordinate of the predictive distribution. Using the comparison to...

There are many applications that are not naturally based on the orthogonal co-ordinate systems, like ultrasound imaging, astronomy, mechanical computations etc. In many cases it is necessary to transform the problem formulation to the orthogonal co-ordinate system, where the problem is solved, transform the solution back and visualize the solution. The polar, spherical or cylindrical co-ordinat...