Road network extraction from aerial images has received attention in photogrammetry and computer vision for decades. We present a concept for road network reconstruction from aerial images using knowledge-based image analysis. In contrast to other approaches, the proposed approach uses multiple cues about the object existence, employs existing knowledge, rules and models, and treats each road s...

This manuscript introduces the concept of self similar watermarks for the purpose of counterfeiting geometrical attacks on copyright protected still images. Geometrical transformations result in the de-synchronization of watermark detection mechanisms enforcing the adoption of exhaustive search strategies for optimizing the algorithm’s efficiency. The self-similar structure attained by the pres...

Selection combining is considered for upgrading the performance of mobile units in wireless networks. Three upgrade schemes are considered: 2 antennas array, 3 antennas array in circular geometrical setting and 3 antennas in linear geometrical setting. The problem of diversity loss due to antennas proximity is addressed and an approach for decreasing the loss is proposed. The approach is based ...

Multidimensional lattice constellations which present signal space diversity (SSD) have been extensively studied for single-antenna transmission over fading channels, with focus on their optimal design for achieving high diversity gain. In this two-part series of papers we present a novel combinatorial geometrical approach based on parallelotope geometry, for the performance evaluation of multi...

As early as in 1952, Chernoff 1 used the α-divergence to evaluate classification errors. Since then, the study of various divergence measures has been attracting many researchers. So far, we have known that the Csiszár f-divergence is a unique class of divergences having information monotonicity, from which the dual α geometrical structure with the Fisher metric is derived, and the Bregman dive...

Wavelet shrinking algorithms for image de-noising replace wavelet coeecients with absolute values below a certain threshold by zero and keep or shrink the other coeecients. This is basically a local procedure, since wavelet coeecients characterize the local regularity of a function. In spite of a careful choice of the threshold, this method does not take into account the geometrical structure o...

I-Q trellis codes are known to increase the time diversity of coded systems.When I-Q codes are used with multiple transmit antennas, the decoding and performance evaluation requires the construction of the high-complexity super-trellis of the component codes. In the paper, the bit error probability and the design criteria of I-Q space-time (ST) codes are derived using the transfer functions of ...

We study the geometrical properties of the utility space (the space of expected utilities over a finite set of options), which is commonly used to model the preferences of an agent in a situation of uncertainty. We focus on the case where the model is neutral with respect to the available options, i.e. treats them, a priori, as being symmetrical from one another. Specifically, we prove that the...

We present a recently developed clustering method and specify it for the problem of identification of metastable conformations in non-equilibrium biomolecular time series. The approach is based on variational minimization of some novel regularized clustering functional. In context of conformational analysis, it allows to combine the features of standard geometrical clustering techniques (like t...

1. D. A. Darling, On a class of problems related to the random division of an interval, Ann. Math. Statist. 24 (1953) 239–253. 2. B. V. Gnedenko, The Theory of Probability, 4th ed., Chelsea, New York, 1968. 3. R. Honsberger, Ingenuity in Mathematics, Mathematical Association of America, Washington, D.C., 1970. 4. M. G. Kendall and P. A. P. Moran, Geometrical Probability, Griffin, London, 1963. ...