In this paper, a novel sampling schema for Rapidly Exploring Random Trees (RRT) is proposed to address the narrow passage issue. The introduced method employs a guiding path to steer the tree growth towards a given goal. The main idea of the proposed approach stands in a preference of the sampling of the configuration space C along a given guiding path instead of sampling of the whole space. Wh...

Snowpack is highly variable across different scales of terrain and with changing land cover. Previous research has used various terrain properties, such as elevation, slope, aspect, northness, occasionally at different resolutions, to estimate the distribution of snowpack properties. Snow depth is among the easiest snowpack properties to measure, and average values are used to determine the spa...

Abstract An important feature of a dynamic game is its monitoring structure namely, what the players effectively see from the played actions. We consider games with arbitrary monitoring structures. One of the purposes of this paper is to know to what extent an encoder, who perfectly observes the played actions and sends a complementary public signal to the players, can establish perfect monitor...

This paper presents the basic properties of chromatic derivatives and chromatic expansions and provides an appropriate motivation for introducing these notions. Chromatic derivatives are special, numerically robust linear differential operators which correspond to certain families of orthogonal polynomials. Chromatic expansions are series of the corresponding special functions, which possess th...

This paper addresses the important problem of ef-cient system-level evaluation for real-time multi-dimensional signal processing systems, as occurring in image, speech and video processing. We solve both the diicult task of nding a correct procedural ordering for the evaluation (without expanding the code to scalars) and the optimisation of the loop organisation, leading to an acceptable amount...

Dynamic textures are sequences of images showing temporal regularity, such as smoke, flames, flowing water, or moving grass. Despite being a multidimensional signal, existing models reshape the dynamic texture into a 2D signal for analysis. In this article, we propose to directly decompose the multidimensional (tensor) signal, free from reshaping operations. We show that decomposition technique...

We consider the problem of actively learning multi-index functions of the form f(x) = g(Ax) = ∑k i=1 gi(a T i x) from point evaluations of f . We assume that the function f is defined on an `2-ball in R, g is twice continuously differentiable almost everywhere, and A ∈ Rk×d is a rank k matrix, where k d. We propose a randomized, active sampling scheme for estimating such functions with uniform ...

Panagiotou and Stufler (arXiv:1502.07180v2) recently proved one important fact on their way to establish the scaling limits of random Pólya trees: a uniform random Pólya tree of size n consists of a conditioned critical Galton-Watson tree Tn and many small forests, where with probability tending to one as n tends to infinity, each forest Fn(v) is maximally of size |Fn(v)| = O(log n). Their proo...

This paper describes the fast computation, and some applications, of entropies and mutual information for color and multispectral images. It is based on the compact coding and fast processing of multidimensional histograms for digital images.

The RASC method for ranking and scaling of biostratigraphic events was developed by the authors and associates during the past 20 years. The purpose of ranking is to create an optimum sequence of events observed in different wells or sections subject to stratigraphic inconsistencies in the direction of the arrow of time. These inconsistencies, which result in crossovers of lines of correlation ...