Multipole expansions offer a natural path to coarse-graining the electrostatic potential. However, the validity of the expansion is restricted to regions outside a spherical enclosure of the distribution of charge and, therefore, not suitable for most applications that demand accurate representation at arbitrary positions around the molecule. We propose and demonstrate a distributed multipole e...

This paper provides a physically based model to animate water. A disturbance model is proposed to simulate various kinds of waves. We use a powerful solver called Finite Volume Method to solve the water uid equation and give various kinds of disturbance to the solutions according to di erent disturbance sources such as wind and rain droplets. In this way, we can nicely simulate the movement of ...

In this paper, the cooperative diversity with superposition modulation, which has been proposed as an instance of “dirty paper coding”, is theoretically analyzed using the outage probability. However, the conventional system with superposition modulation cannot ideally perform dirty paper coding. Thus, we propose to apply constellation rotation technique and iterative processing to the superpos...

We study aspects of the analytic foundations of integration and closely related problems for functions of infinite many variables x1, x2, . . . ∈ D. The setting is based on a reproducing kernel k for functions on D, a family of non-negative weights γu, where u varies over all finite subsets of N, and a probability measure ρ on D. We consider the weighted superposition K = ∑ u γuku of finite ten...

An analytical solution to the transient heat conduction for a two dimensional cylindrical fin with general boundary conditions is obtained by the principle of superposition and separation variables. In the analysis, homogeneous material properties and thickness, the convective heat transfer coefficient, the ambient temperature and the fin properties are assume to be constant. The closed form tr...

Linear superposition principles of hyperbolic and trigonometric function solutions are analyzed for Hirota bilinear equations, with an aim to construct a specific sub-class of N-soliton solutions formulated by linear combinations of hyperbolic and trigonometric functions. An algorithm using weights is discussed and a few illustrative application examples are presented. 2013 Elsevier Inc. All ri...

Counting the number of people inside a building, from outside and without entering the building, is crucial for many applications. In this paper, we are interested in counting the total number of people walking inside a building (or in general behind walls), using readily-deployable WiFi transceivers that are installed outside the building, and only based on WiFi RSSI measurements. The key obse...

Superpositional intonation models posit that the pitch contour, , can be quasi-additively decomposed into component curves such as phrase curves, accent curves, and segmental perturbation curves. Currently, these component curves can only be estimated if one assumes a specific superpositional model, such as the Fujisaki model. A method is proposed for estimating phrase curves that is model-inde...

Patch-based label fusion methods have shown great potential in multi-atlas segmentation. It is crucial for patch-based labeling methods to determine appropriate graphs and corresponding weights to better link patches in the input image with those in atlas images. Currently, two independent steps are performed, i.e., first constructing graphs based on the fixed image neighborhood and then comput...

In this section we expand on the sinusoidal model derived in the to allow for arbitrary periodic modulation functions for both the illumination and the camera reference signal. As before, we assume periodically modulated illumination with an angular frequency ω. In the general case, this illumination signal can be described as a superposition of all the harmonics of this frequency at different ...