In this paper, we describe a flexible form-reader system capable of extracting textual information from accounting documents, like invoices and bills of service companies. In this kind of document, the extraction of some information fields cannot take place without having detected the corresponding instruction fields, which are only constrained to range in given domains. We propose modeling the...

The primary present-day observables upon which theories of galaxy evolution are based are a system's morphology, dynamics, colour, and chemistry. Individually, each provides an important constraint to any given model; in concert, the four represent a fundamental (intractable) boundary condition for chemody-namical simulations. We review the current state-of-the-art semi-analytical and chemodyna...

We review understanding of kinetics of fluid phase separation in various space dimensions. Morphological differences, percolating or disconnected, based on overall composition in a binary liquid or density in a vapor-liquid system, have been pointed out. Depending upon the morphology, various possible mechanisms and corresponding theoretical predictions for domain growth are discussed. On compu...

The current study investigates the relation between retrieval effort and the relative memory strength of mentally stored information. A previous pupillary study by Magliero (1983) showed that encoding effort reacts to the recency effect but no studies have linked effort as measured by pupillary dilation to the frequency effect. In the current study, phasic pupil dilation of 15 participants was ...

A new method for obtaining the optimal path to robot navigation in 2-D environments is presented in this paper. To obtain the optimal path we use mathematical morphology in binary worlds and the geodesic distance. The navigation algorithm is based on the search for a path of minimum cost by using the wave-front of the geodesic distance of the mathematical morphology. The optimal path will be th...

Given a dilation matrix A : Z d → Z d , and G a complete set of coset representatives of 2π(A −− Z d /Z d), we consider polynomial solutions M to the equation g∈G M (ξ + g) = 1 with the constraints that M ≥ 0 and M (0) = 1. We prove that the full class of such functions can be generated using polynomial convolution kernels. Trigonometric polynomials of this type play an important role as symbol...

Contrary to the 2D case, a 3D hole is not a subset of the 3D space. It is therefore not possible to use connected component search algorithms for detecting and suppressing 3D holes. In this paper, we propose an algorithm for closing 3D holes. It is based on properties of the previously introduced notion of topological numbers. Our algorithm is linear in time and it allows to control the size of...

A classical result in metric geometry asserts that any n-point metric admits a linear-size spanner of dilation O(log n) [PS89]. More generally, for any c > 1, any metric space admits a spanner of size O(n), and dilation at most c. This bound is tight assuming the well-known girth conjecture of Erdős [Erd63]. We show that for a metric induced by a set of n points in high-dimensional Euclidean sp...

Dilation occurs when upper and lower probability estimates of some event E are properly included in the upper and lower probability estimates of the probability of E conditional on another event F , resulting in a change from a more precise estimate of E to a less precise estimate of E upon learning F . Strict dilation occurs when E is dilated by every event in a partition, which means that som...

Signal simplification, as measured through a reduction in signal features is an important aspect of scale-space theories. Partial ordering can be seen as a formal characterization of the notion of a simpler version of a signal. The partial orderings implied by some scale-spaces which obey monotonicity of features are examined with examples drawn from 1-D Gaussian scale-space and Multiscale Dila...