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We present efficient, second-order accurate and adaptive finite-difference methods to solve the regularized, strongly anisotropic Cahn–Hilliard equation in 2D and 3D. When the surface energy anisotropy is sufficiently strong, there are missing orientations in the equilibrium level curves of the diffuse interface solutions, corresponding to those missing(More)
— The topology control technique can prolong the network lifetime, but it can suffer the significant performance degradation due to the interferences of WLAN or Bluetooth devices. This paper proposes an interference-aware topology control algorithm to reduce the interference effects. The basic idea of the proposed algorithm is to estimate the interference(More)
— Development of efficient transmission power control algorithms providing both high energy efficiency and good link quality is the current major focus in wireless sensor networks research. In the paper, we propose an efficient transmission power control algorithm for wireless sensor networks, namely, the on-demand transmission power control (ODTPC)(More)
—A key challenge in routing in cognitive radio networks (CRNs) is how to adaptively and efficiently select a route and assign resources along that route according to the surrounding environment. In this work, we propose a distributed routing protocol for CRNs, in which path selection and resource allocation (e.g. spectrum, transmission power, and(More)
We propose an efficient finite difference scheme for solving the Cahn–Hilliard equation with a variable mobility in complex domains. Our method employs a type of unconditionally gradient stable splitting discretization. We also extend the scheme to compute the Cahn–Hilliard equation in arbitrarily shaped domains. We prove the mass conservation property of(More)
SUMMARY Maintaining the lowest possible transmission power in the wireless sensor networks (WSNs) is vulnerable to the interference fluctuations because of the bad signal-to-interference-plus-noise-ratio (SINR). The previous transmission power control (TPC) algorithms do not consider much for the interferences from other 2.4GHz devices, which can cause(More)
Keywords: Image segmentation Level set model Chan–Vese model Lee–Seo model Energy minimization Unconditional stability a b s t r a c t In this paper, we propose a new level set-based model and an unconditionally stable numerical method for bimodal image segmentation. Our model is based on the Lee–Seo active contour model. The numerical scheme is(More)