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In this paper, we consider a class of gradient flows that model rules by which a multi-agent system might approach to an equilibrium. The rules are quite simple to state, in fact they depend on a single attraction/repulsion function, but in the generality assumed here the analysis of the resulting flow presents several challenges. In part, these challenges arise from the natural invariance with respect...
This paper proposes a framework for matting identification photos automatically. We firstly adopt image processing operations such as skin detection, k-means clustering, Grab cut segmentation and canny operator to generate a trimap with three regions, i.e., background, foreground and unknown regions. Then, we improve the Bayesian matting by introducing an alpha regularization term. Experiments demonstrate...
Linear sampling method is a qualitative inversion technique employed for imaging scatterers. Although it is well understood from the perspective of mathematics, despite few good efforts, its physical interpretation still eludes the research community. This article presents a physical interpretation of the linear sampling method. We demonstrate that linear sampling method can effectively be understood...
Subspace-based optimization methods (SOM) for locating scatterers have been reported recently. The positions and shapes of scatterers are reconstructed by checking the contour of permittivity. Background conditions, including the shape of domain of interest, aperture, and frequency of incident wave, have an influence on the process of permittivity reconstruction. We examine the domain shape effect...
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