We propose a wavelet-based approach to measure the Shannon entropy in the context of spatial point patterns. The method uses the fully anisotropic Morlet wavelet to estimate the energy distribution at different directions and scales. The spatial heterogeneity and complexity of spatial point patterns is then analyzed using the multiscale anisotropic wavelet entropy. The efficacy of the approach ...

The spectral-domain approach is applied to the analysis ofa fonr microstrip patch resonator array that is printed on anisotropicsubstrate. Basis fnnctions are carefnlly chosen to accurately representthe cnrrent distribution on each patch, corresponding to every symmetryof the structure. Ample numerical results are presented which show theeffects of geometrical and anisotropi...

T he paper by Brugada et a1l in this issue of Circulation adds importantly to mounting evidence that the anisotropic passive electrical properties of cardiac muscle play an important role in atrial2-4 and ventricular5-6 reentrant arrhythmias. The anisotropic properties involved are determined at a microscopic size scale (<200 jam) by the alignment of cardiac myocytes, their complex shapes, the ...

Anisotropic wavelet packets present a flexible transform with interesting properties and applications. While certain aspects of this transform have been investigated in conjunction with applications, this paper aims at providing a basic theoretical framework for working with anisotropic wavelet packets. Random decompositions are developed which have distributions with different average decompos...

Anisotropic diffusion filtering is widely used for MR image enhancement. However, the anisotropic filter is nonoptimal for MR images with spatially varying noise levels, such as images reconstructed from sensitivity-encoded data and intensity inhomogeneity-corrected images. In this work, a new method for filtering MR images with spatially varying noise levels is presented. In the new method, a ...

Formability of automotive friction stir welded TWB (tailor welded blank) sheets isnumerically investigated in biaxial stretching based on hemispherical dome stretch (HDS) test infour automotive sheets of Aluminum alloy 6111-T4, 5083-H18, 5083-O and DP590 steel, havingdifferent thicknesses. The effects of the weld zone modeling and the thickness ratio on formabilityare evaluated. In order to car...

We investigate particle transport in the honeycomb billiard which consists of connected channels placed on the edges of a honeycomb structure. The spreading of particles is superdiffusive due to the existence of ballistic trajectories which we term perfect paths. Simulations give a time exponent of 1.72 for the mean-square displacement and a starlike, i.e., anisotropic, particle distribution. W...

We examine the evidence for the widespread belief that heavy tail distributions enhance the search for minima on multimodal objective functions. We analyze isotropic and anisotropic heavy-tail Cauchy distributions and investigate the probability to sample a better solution, depending on the step length and the dimensionality of the search space. The probability decreases fast with increasing st...