Issue of the iterated filters in the directional filter bank is examined. The result is called pyramidal directional filter bank PDFB. Recently.NDFB with a new multiscale pyramid, we propose the surfacelet transform, which. A Frequency partitioning of the directional filter bank with 3 levels.In this paper, multiscale directional filter bank MDFB is investigated for texture characterization. Te...

The information divergence of a probability measure P from an exponential family E over a nite set is de ned as in mum of the divergences of P from Q subject to Q ∈ E . All directional derivatives of the divergence from E are explicitly found. To this end, behaviour of the conjugate of a log-Laplace transform on the boundary of its domain is analysed. The rst order conditions for P to be a maxi...

where [g]j,l=1 defines a C ∞-smooth Riemannian metric and b = (b1, ..., bm) and q are, correspondingly, C∞-smooth complex-valued 1-form and function on M . σ is a C∞-smooth complex-valued function on ∂M and ∂ν stands for the normal derivative. Let Rλ be the resolvent of (1), (2) which is meromorphic for λ ∈ C (see Sect. 3 and [1]) and let Rλ(x, y) be its Schwartz kernel. A natural analog of the...

In this paper we determine the number of the meaningful compositions of higher order of the differential operations and Gateaux directional derivative.

The characteristics of goal-directed actions tend to resemble those of previously executed actions, but it is unclear whether such effects depend strictly on action history, or also reflect context-dependent processes related to predictive motor planning. Here we manipulated the time available to initiate movements after a target was specified, and studied the effects of predictable movement se...

We consider spherical data Xi noised by a random rotation εi ∈ SO(3) so that only the sample Zi = εiXi, i = 1, . . . , N is observed. We define a nonparametric test procedure to distinguish H0 : ”the density f of Xi is the uniform density f0 on the sphere” and H1 : ”‖f − f0‖2 ≥ CψN and f is in a Sobolev space with smoothness s”. For a noise density fε with smoothness index ν, we show that an ad...

Horizontal directional drilling (HDD) is widely used in soil and rock engineering. In a variety of conditions, it is necessary to estimate the torque required for performing the reaming operation. Nevertheless, there is not presently a convenient method to accomplish this task. In this paper, to overcome this difficulty based on the basic concepts of rock engineering systems (RES), a model for ...