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This paper presents the approach to extract the local features of the two-dimensional Intrinsic Mode Function (IMF) obtained by 2EMD and detect the edge features using the monogenic signal. The monogenic signal is a 2D-generalization of the analytic signal using the Riesz transform taking place of the Hilbert Transform. Analyzing each 2D-IMF by studying local properties (amplitude, phase, orientation...
We show that the permutation group membership problem can be solved in depth (logn)3 on a Monte Carlo Boolean circuit of polynomial size in the restricted case in which the group is abelian. We also show that this restricted problem is NC1-hard for NSPACE(logn).
In this paper we present an algorithm for a special case of wire routing. Given a rectangular circuit component on a planar surface with terminals around its boundary, the algorithm finds an optimal set of paths in the plane connecting specified pairs of terminals. The paths are restricted to lie on the outside of the component and must consist of line segments orthogonal to the sides of the component...
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