Spatial Complian eModeling Using a Quaternion-Based Potential Fun tion Method

The meshless Kernel-based method of lines for parabolic equations

1. Introdu tion. There are plenty of appli ation papers in whi h kernels or radial basis fun tions are su essfully used for solving partial di erential equations by meshless methods. The usage of kernels is typi ally based on spatial interpolation at s attered lo ations, writing the trial fun tions entirely in terms of nodes [2℄. For stationary partial di erential equations, the dis retization ...

Non-stationary Fun tion Optimization using Evolutionary Algorithms with a Case-based Memory

A Distribution Detection Framework for Watermark Analysis

ABSTRACT Many watermarking algorithms have been proposed and studied for their robustness and other properties. But, there has been little e ort is analyzing these algorithms for their vulnerability against dete tion by an adversary. As a general philosophy for robust watermarking the host signal and the watermarked signal are well separated in a statisti al distan e sense. This very nature an ...

Beamformer Based on Quaternion Processes

In this chapter, the problem of quaternion beamformer based on linear and widely linear hypercomplex processing is investigated in scenarios, where there exist one signal and one interference that are uncorrelated. First, we introduce brief information about the quaternion algebra and a quaternion model of linear symmetric array with twocomponent electromagnetic (EM) vector-sensors is presented...

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Cost fun tions formulated in four-dimensional variational data assimilation (4D-Var) are nonsmooth in the presen e of dis ontinuous physi al pro esses (i.e., the presen e of \on-o " swit hes in NWP models). The adjoint model integration produ es values of subgradients, instead of gradients, of these ost fun tions with respe t to the model's ontrol variables at dis ontinuous points. Minimization...